What are the articles "The More Things Change, the More They Stay the Same" and "Why Everyone Needs Core Training" about? What is a summary of...

"The More Things Change, the More They Stay the Same"  has several themes but does not have a clearly argued thesis. Its first major theme is that fitness trends occur in cycles. It makes the point that fitness was promoted in ancient Greece and in the 1940s as a way of preparing soldiers for war. It also argues that various training methods tend to go in and out of fashion, with high intensity intervals, for...

"The More Things Change, the More They Stay the Same"  has several themes but does not have a clearly argued thesis. Its first major theme is that fitness trends occur in cycles. It makes the point that fitness was promoted in ancient Greece and in the 1940s as a way of preparing soldiers for war. It also argues that various training methods tend to go in and out of fashion, with high intensity intervals, for example, first being in fashion and then out and then in again. It argues that terms for coaches have changed but they all function basically as teachers. 

"Why Everyone Needs Core Training" argues that core training is the most essential part of fitness for both athletes and people with back pain. It argues that "core stiffness" will enhance all other aspects of athletic performance. It increases limb speed and strength and prevents injuries that might interfere with training at the highest levels. 

Compare and contrast the characters of Volumnia and Virgilia with regards to gender stereotypes and what it means to be a woman in Rome.

While Volumnia cherishes the masculine thirst for combat in her maternal breast, her daughter-in-law, Virgilia, typifies the traditional Roman wife. In the play, Virgilia is quiet and unassuming; she says very little (as befits a good Roman wife) and often capitulates to the whims of her domineering mother-in-law.

Shakespearean critics have often commented on the seeming discrepancy between how a Roman wife was expected to act in her time (as characterized by Virgilia) and how a woman like Volumnia managed to transcend the expectations of her time. Certainly, Volumnia is no typical Roman mother. She is the main power and inspiration behind Coriolanus' war exploits, and she definitely dominates both her son and daughter-in-law in the domestic sphere as well.

In ancient Rome, women were expected to derive their greatest satisfaction from the home; mothers especially were viewed as the preservers of Roman civilization and culture. Youthful marriages were encouraged, with girls being married off as young as fourteen years of age. Additionally, chastity was the prime feminine virtue; virgin wives were said to ensure the purity of paternal heritage. At the same time, Roman society tolerated extra-marital flings by husbands. Men could consort with prostitutes, but women were generally labelled promiscuous for engaging in similar acts.

Women were also differentiated by the manner of their dress. Respectable women wore stolas (long dresses), while prostitutes wore togas.  A man could have a wife or a concubine, but not both. The concubine was considered one step below a wife and a step above a prostitute.

As a rule, women were given no roles in the public sphere: they were largely prohibited from participating in any sort of political activity. For example, Roman women could not vote, speak, or campaign at political assemblies; certainly, all business, financial, and law interests required the intervention of male representation and input. Informally, a woman could influence her husband or male lover privately, but that was the extent of female power.

In that sense, Volumnia characterizes the unconventional in terms of Roman femininity. She wields power expertly through manipulating Coriolanus' emotional dependence on her. As the presiding matriarch of the family, it is Volumnia who decides when Coriolanus goes to war and when he forebears (as is the case when he withdraws from attacking Rome with Aufidius). Volumnia represents the many Roman women who chose non-traditional paths after their husbands and/sons died in battle. These women owned and managed their family businesses quietly; they labored courageously on behalf of their children despite the challenges they faced in the midst of personal tragedy.

So, through Volumnia and Virgilia, Shakespeare skilfully juxtaposes the two prevailing conventions of femininity during his time. For more, please refer to the two links below.

What is the cause of Mrs. Jones's stress?

The cause of Mrs. Jones's stress is Roger, a boy who tries to steal her purse while she is on the street. Mrs. Jones, however, takes hold of Roger before he has a chance to steal from her and questions him about why he would do such a thing.

Instead of reporting him to the police, Mrs. Jones transforms her stress into compassion. She takes Roger to her home, gets him washed, and gives him...

The cause of Mrs. Jones's stress is Roger, a boy who tries to steal her purse while she is on the street. Mrs. Jones, however, takes hold of Roger before he has a chance to steal from her and questions him about why he would do such a thing.

Instead of reporting him to the police, Mrs. Jones transforms her stress into compassion. She takes Roger to her home, gets him washed, and gives him some supper. She also asks him why he wanted to steal her purse, prompting Roger to confess that he wants a pair of blue suede shoes.

Mrs. Jones understands what it is like to want something when you don't have the money for it. As she comments, she was once young and wanted things that she could not get.

In the end, she gives Roger the money he wants and sends him on his way, proving that her compassion is far stronger than her stress.

In Elizabeth Warnock Fernea's "Guests of the Sheikh," how does Fernea’s distinction between “women of the tribe” and “women of the town”...

In the book, Fernea's distinction between women of the tribe (or harem) and women of the town highlights the multiple ways of being a Muslim woman. During her visit to the women's quarters, Fernea finds herself an object of curiosity among the sheikh's wives. The youngest, Selma, is the sheikh's favorite, and she wears no abayah. Although this is unusual for a traditional Muslim woman, Selma's dress and education demonstrates the sheikh's progressive attitude (and indulgence) toward female agency. Selma's sky-blue satin dress and largely uncovered hair is a manifestation of the similar independence women of the town enjoy.

In the book, the women of the town who socialize with Fernea include several teachers (Aliyah, Hind, etc.), the mayor's wife (Um Saad), the engineer's sister (Khadija), and the doctor's wife (Nadia). While the sheikh's wives are only expected to cater to the sheikh's needs, to remain chaste, and to raise his children, more is expected of women like Khadija. Khadija's engineer brother, Jabbar, expects her to learn how to socialize with men so that she can be both an engaging companion and a matchless homemaker when she marries. Despite her discomfort, Khadija humors her brother. In Khadija, we see how the traditional Muslim woman must reconcile the old ways with modern interpretations of womanhood.

Um Saad (pedigreed, wealthy, and educated) is the epitome of the modern Muslim woman. Her mayor husband, although privately progressive on the subject of women's rights, prefers to take a moderate stance in public. As a devoted wife, Um Saad obliges him, but she continues to excel in her academic pursuits in private. Muslim women such as Um Saad, Selma, and Khadija embody the best of Muslim womanhood: while demonstrating the multiple ways of being a Muslim woman, all three demonstrate that "a good woman is the same in both spheres: her reputation for fidelity is above reproach, she is hard-working, a devoted wife and mother, a good cook and housekeeper, and a quiet obedient companion to her husband." Above all, a Muslim woman's influence is matchless, regardless of which sphere she belongs to.

As for the second part of your question, I will offer some clues on how to tackle this. First, provide a brief definition of thick description. Next, provide an example from the book that illustrates the benefits of this ethnographic method. For an example, I recommend Fernea's description of the bed Selma shares with Sheikh Hamid and Selma's narrative about the photographs on the walls. By describing the layout of the room, Selma's (and Hamid's) bed, Hamid's portraits, the clothes worn by Abdul Emir (Hamid's father), as well as Abdul Emir's illustrious warrior past, Fernea helps us to understand Sheikh Hamid's background, his present opulence, and his continuing influence in his society. Fernea's strategy of thick description also allows her to illustrate her personal growth as she navigates Iraqi society and immerses herself in the culture. Additionally, in studying the details of her surroundings and describing them, Fernea also makes Iraqi culture accessible to her readers.

Explain this quote ¨Yet this government never of itself furthered any enterprise, but by the alacrity with which it got out of its way. It does...

This quote from Thoreau’s essay “Civil Disobedience” succinctly summarizes one of the key sentiments negotiated in the text. In the essay, Thoreau argues against governmental overreach and governmental involvement in the affairs of American citizens. In the second paragraph, Thoreau calls the government “a sort of wooden gun” and a “complicated machinery” which serves “to satisfy that idea of government which they [the citizens] have.” What Thoreau seems to suggest here is that the government...

This quote from Thoreau’s essay “Civil Disobedience” succinctly summarizes one of the key sentiments negotiated in the text. In the essay, Thoreau argues against governmental overreach and governmental involvement in the affairs of American citizens. In the second paragraph, Thoreau calls the government “a sort of wooden gun” and a “complicated machinery” which serves “to satisfy that idea of government which they [the citizens] have.” What Thoreau seems to suggest here is that the government serves a symbolic function, or that it is an abstract idea necessary for citizens to have a sense of security and perhaps a shared purpose. In light of this, the quote under consideration here seems to suggest that it is not the government itself but rather the citizens, who populate the social, economic, geographic, and cultural space that represents the power of the country. In other words, Thoreau seems to think of the government as an empty shell that only receives its power and authority from people who do the work.     

How can I write an essay on racial tension/conflict by comparing Langston Hughes's "Theme for English B" and Rudyard Kipling's "The White Man's...

One way to write a comparison essay is to note the similarities between both poems while acknowledging a main difference between them. Of course, we can make this comparison clear in the thesis statement of the first paragraph. Here are two suggestions for a thesis statement:

1) While both poems acknowledge the consequences of imperialism, Langston Hughes's poem is the only one that explores the question of personal identity.

2) While both poems acknowledge the racial divide that separates the conquered from the colonizing force, Kipling's poem is the only one that characterizes imperialism as a potentially moral enterprise.

From here, we can conceivably use five or more paragraphs to address one of the thesis statements above. In this answer, I will address the first statement: While both poems acknowledge the consequences of imperialism, Langston Hughes's poem is the only one that explores the question of personal identity.

Additionally, whether we choose thesis statement 1 or thesis statement 2, a discussion of imperialism would serve our purposes. Before we discuss the consequences of imperialism (as evidenced in the poems), it would be a good idea to discuss the basis for American imperialism.

Kipling's poem was published at the beginning of the Philippine-American War, while Hughes's poem explores African American integration into white society after the Civil War and Reconstruction. The speaker of Hughes's poem was presumably born in Winston-Salem, North Carolina, and he now attends college in Harlem, New York. The concepts of Manifest Destiny and American exceptionalism (where America deems itself a superior force for good because of its distinctive institutions and freedoms) can be seen in the ideas behind Reconstruction and the Philippine-American war ("To seek another’s profit / And work another’s gain / Take up the White Man’s burden...").

During the period of what was known as Radical Reconstruction, the South debuted its first state-funded integrated public school, saw African American participation in public office rise, and passed laws against racial discrimination in public accommodations. 

For information on the Philippine-American War, American exceptionalism and Manifest Destiny, please refer to the three links below.

Both poems do acknowledge the consequences of imperialism. For example, Hughes's poem highlights the divide between two different worldviews. The speaker's white teacher tells the speaker (a black student) to write in his authentic voice. However, the speaker questions what his authentic voice really is; he wonders whether race impacts personal preferences and whether it colors one's perception about life. Here, the conquered (speaker of the poem) questions his place within a society dominated by the progeny of past imperialists. ("It’s not easy to know what is true for you or me / at twenty-two, my age.")

Meanwhile, Kipling acknowledges that conquered natives will not submit readily to their oppression ("Your new-caught, sullen peoples, / Half devil and half child..."). So, both poems acknowledge that there are very real consequences to imperialism. First, it is unlikely that the conquered will thank their new masters for their inferior status in society. Second, the question of identity comes into play: how will the conquered align their native assumptions with the unfamiliar and offensive presuppositions of their imperial masters?

Next, we can discuss how Hughes's poem explores the question of personal identity, an element that is missing from Kipling's poem. First, Hughes humanizes the speaker by giving us some important information about him. Here, we can include information from the poem to support this statement. For example, the speaker is twenty-two; he was born in Winston-Salem, etc. The speaker comes to an interesting conclusion about life: both white and black people can like the same things even though they don't belong to the same race. Second, we can make the point that Hughes's poem acknowledges the humanity that connects all races ("You are white— / yet a part of me, as I am a part of you"). Third, Hughes makes the point that this belief about shared humanity is also very American in nature: 

You are white—

yet a part of me, as I am a part of you.

That’s American.

Sometimes perhaps you don’t want to be a part of me.   

Nor do I often want to be a part of you.

But we are, that’s true!

Although both poems acknowledge the validity of racial tensions, Hughes's poem is a departure from Kipling's in that the former acknowledges the shared humanity between the races while the latter views the imperial force as a superior civilizing power. 

In Coleridge’s Christabel, the only person with insight into the character of Geraldine is Bracy the bard. Why is this significant? What does Sir...

In Part II of Christabel Bracy the bard makes his appearance. We first read of him saying that the sacristan should "let it knell," apparently supporting the continuation of Sir Leoline's law that a bell to remind us of the "world of death" should be rung often and slowly. By making Bracy a commentator on this tradition, Coleridge connects Bracy to the matter of the living world versus the world of death. 

Bracy is present later in Part II when Christabel and Geraldine emerge from Christabel's chamber after the bell wakes them. He is a witness as Sir Leoline listens to the description of what has allegedly befallen Geraldine in the woods. When Sir Leoline commands him to ride to Sir Roland with the message that Geraldine is safe and that Roland should come to fetch her, Bracy reveals that he would prefer to not embark on this particular day because of the portentous vision he had the night before.

As Bracy explains his dream of the struggling "dove" Christabel being strangled by a snake, it seems that the snake represents Geraldine. Bracy has vowed that he would spend this day in the forest attempting to flush out any unholiness with his saintly songs. If Bracy is a man who can chase away evil with his words and music, then it makes sense that he has had such a symbolic dream on the very same night that Christabel actually had been in the forest meeting the mysterious Geraldine. 

The significance of Bracy being the only one with insight into Geraldine's true nature is that, apart from expressing that he has some sort of holy power to drive away evil, he is the only person in the room who has not been physically touched by Geraldine. Christabel and Sir Leoline are both under Geraldine's power, having both embraced or been embraced by her. Christabel thus finds herself at first unable to speak against her, and Sir Leoline is filled with the urge to protect and avenge Geraldine.

Unfortunately for Christabel, Sir Leoline has succumbed to Geraldine's charms and has only been "half-listening" to Bracy while smiling at Geraldine. Thus he does not grasp the true meaning of Bracy's dream: that Christabel was the victim of the snake Geraldine. Instead Sir Leoline reacts to Bracy's story by telling Geraldine that he and her father will crush that pesky snake that has bothered her! Geraldine has so bewitched Sir Leoline that all he can do is gaze at her with his eyes "made up of wonder and love" instead of paying careful attention to the warning that Bracy's story should have been. This is exactly what Geraldine wanted, of course. Sir Leoline's declaration of protection and subsequent kiss on Geraldine's forehead set him all the farther from being able to recognize or believe Christabel's distress.

Bracy is the only character who has not been enchanted by Geraldine. At the end of Part II Sir Leoline is confused, embarrassed, and affronted that Christabel has begged him to send Geraldine away, so he sternly takes out his annoyance on Bracy. Sir Leoline abruptly reminds Bracy of his order to go find Lord Roland, and Bracy departs. Without Bracy there to speak against Geraldine, Christabel has no ally. Sir Leoline leads Geraldine forth from the room (though one might say that she is truly the puppeteer in that), having been compelled to banish righteousness and reject all warnings of the serpent who now dwells among them.

What is the relation between force and pressure?

Pressure is defined as force per unit area (on which the force is acting).

or, pressure = force/area

Force is the product of mass and acceleration of an object, as per Newton's second law of motion and has the units of Newton (N). Thus, the units of pressure are Newton per square meter (`N/m^2` ). Another commonly used unit for pressure are psi or pound per square inch.

Also, Pressure = (mass x acceleration)/ area 

The...

Pressure is defined as force per unit area (on which the force is acting).

or, pressure = force/area

Force is the product of mass and acceleration of an object, as per Newton's second law of motion and has the units of Newton (N). Thus, the units of pressure are Newton per square meter (`N/m^2` ). Another commonly used unit for pressure are psi or pound per square inch.

Also, Pressure = (mass x acceleration)/ area 

The pressure exerted by the air is measured in terms of atmosphere or atm. 1 atm is equivalent to the pressure exerted by a column of mercury 76 cm or 760 mm high. 

One interesting aspect of the relationship between force and pressure is that as the area reduces, pressure rises for the same applied force. For example, it is impossible for a person to move a wall by exerting force on it. But if we apply the same force on a brick, we can easily move it. If we apply the same force on the tip of needle, think about how much more pressure is developed and what it can accomplish.

Hope this helps. 

Does innocence play a part in Atonement?

Atonement is a novel written by Ian McEwan in 2001. This book is divided into two distinct parts. In very broad terms, the first part describes a young girl's loss of innocence after she witnesses a traumatic event. The second half goes into detail about how the actions of Briony, the young girl, affect her family and friends.

In regards to your question, the answer is yes. The theme of innocence plays a large role...

Atonement is a novel written by Ian McEwan in 2001. This book is divided into two distinct parts. In very broad terms, the first part describes a young girl's loss of innocence after she witnesses a traumatic event. The second half goes into detail about how the actions of Briony, the young girl, affect her family and friends.

In regards to your question, the answer is yes. The theme of innocence plays a large role in both the events that unfold and the development of characters in the story. Let's take the character of Briony as an example. When she is first introduced to the reader, we are given a glimpse of her maturity, especially when compared to the characters of Jackson and Pierrot. Despite this, we are soon reminded of her innocence and young age when she reads the letter written by Robbie intended for Cecilia. Having read the sexually charged letter, Briony concludes that Robbie is a lustful and aggressive monster. This thought is only confirmed when she stumbles upon Cecilia and Robbie in the library later.

Clearly, Briony's innocence and lack of experience play a significant role in her reactions to Robbie and his letter. Had she known the context of his and Cecilia's situation, it is doubtful that she would have blamed Robbie for the heinous act that occurs later in the book. Briony's false judgement about this act, brought in part due to her innocence, is what ultimately sets the later events of the novel in motion, including Robbie's involvement in the war.

What is chapter 1 about?

In chapter 1, Bruno returns home to discover the maid packing his personal belongings into boxes. Bruno is initially confused and learns from his mother that his family will be leaving Berlin because of his father's "important" job. However, the narrator does not elaborate on Bruno's father's occupation, leaving the reader to infer what he does for a living. Bruno's mother is hesitant to disclose much of the information about the family's move and seems...

In chapter 1, Bruno returns home to discover the maid packing his personal belongings into boxes. Bruno is initially confused and learns from his mother that his family will be leaving Berlin because of his father's "important" job. However, the narrator does not elaborate on Bruno's father's occupation, leaving the reader to infer what he does for a living. Bruno's mother is hesitant to disclose much of the information about the family's move and seems to dismiss her son's incessant questions. Bruno is clearly upset about the upcoming move and voices his displeasure at having to leave his three best friends. In the first chapter, Boyne introduces several significant characters throughout the novel and reveals Bruno's thoughts about leaving Berlin. By using limited narration, several important pieces of information are purposely left out; this allows the reader to view the events from Bruno's innocent perspective.

`sum_(n=1)^oo ln(n)/n^2` Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine the convergence...

The Integral test is applicable if `f` is positive and decreasing function on infinite interval `[k, oo)` where `kgt= 1` and `a_n=f(x)` . Then the series `sum_(n=k)^oo a_n` converges if and only if the improper integral `int_k^oo f(x) dx` converges. If the integral diverges then the series also diverges.

For the given series `sum_(n=1)^oo ln(n)/n^2` , the `a_n =ln(n)/n^2` .

Then applying `a_n=f(x)` , we consider:

`f(x) =ln(x)/x^2`

The graph of f(x) is:

As shown on the graph, f is positive on the finite interval `[1,oo)` . To verify of the function will eventually decreases on the given interval, we may consider derivative of the function.

Apply Quotient rule for derivative: `d/dx(u/v) = (u'* v- v'*u)/v^2` .

Let `u = ln(x)` then `u' = 1/x`

      `v = x^2` then `v' = 2x`

Applying the formula,we get:

`f'(x) = (1/x*x^2- 2x*ln(x))/(x^2)^2`

       `= (x-2xln(x))/x^4`

       `=(1-2ln(x))/x^3`

Note that `1-2ln(x) lt0` for larger values of x which means `f'(x) lt0` .Based on the First derivative test, if `f'(x)` has a negative value then the function `f(x)` is decreasing for a given interval `I` . This confirms that the function is ultimately decreasing as `x-gt oo` . Therefore, we may apply the Integral test to confirm the convergence or divergence of the given series.

We may determine the convergence or divergence of the improper integral as:

`int_1^oo ln(x)/x^2dx= lim_(t-gtoo)int_1^t ln(x)/x^2dx`

To determine the indefinite integral of `int_1^t ln(x)/x^2dx` , we may apply integration by parts: `int u *dv = u*v - int v* du`

`u = ln(x)` then `du = 1/x dx` . 

`dv = 1/x^2dx` then `v= int 1/x^2dx = -1/x`  

Note: To determine v, apply Power rule for integration `int x^n dx = x^(n+1)/(n+1).`

`int 1/x^2dx =int x^(-2)dx`

                ` =x^(-2+1)/(-2+1)`

                ` = x^(-1)/(-1)`

                ` = -1/x`

The integral becomes: 

`int ln(x)/x^2dx=ln(x)(-1/x) - int (-1/x)*1/xdx`

                    ` = -ln(x)/x - int -1/x^2dx`

                    ` =-ln(x)/x + int 1/x^2dx`

                    ` =-ln(x)/x + (-1/x)`

                    ` = -ln(x)/x -1/x`

Apply definite integral formula: `F(x)|_a^b = F(b) - F(a)` .

`-ln(x)/x -1/x|_1^t =[-ln(t)/t -1/t] -[-ln(1)/1-1/1]`

                      ` =[-ln(t)/t -1/t] -[-0-1]`

                      ` =[-ln(t)/t -1/t] -[-1]`

                      ` = -ln(t)/t -1/t +1`

Apply `int_1^tln(x)/x^2dx= -ln(t)/t -1/t +1` , we get:

`lim_(t-gtoo)int_1^tln(x)/x^2dx=lim_(t-gtoo) [-ln(t)/t -1/t +1]`

                                 ` = -0 -0 +1`

                                ` = 1`

Note: `lim_(t-gtoo) 1=1`

         `lim_(t-gtoo) 1/t = 1/oo or 0`

     ` lim_(t-gtoo) -ln(t)/t =[lim_(t-gtoo) -ln(t)]/[lim_(t-gtoo) t]`

                             `=-oo/oo`

Apply L' Hospitals rule:

`lim_(t-gtoo) -ln(t)/t =lim_(t-gtoo) -(1/t)/1`

                       ` =lim_(t-gtoo) -1/t`

                        ` = -1/oo or 0`

The  `lim_(t-gtoo)int_1^tln(x)/x^2dx =1`  implies that the integral converges.

Conclusion: The integral `int_1^oo ln(x)/x^2dx`   is convergent therefore the series `sum_(n=1)^ooln(n)/n^2` must also be convergent. 

What are some good tips for effective note taking?

Every student benefits from finding an effective way to take notes. While some find it easiest to quickly jot down main ideas, others benefit from recording lectures and taking notes later in a quiet setting. Here are ' tips for note taking.

Stanford University offers a few note-taking tips to its students. 

1. Listen to the professor and think about key points. Don't quote your professor verbatim; instead put the thoughts into your own words.


2. ...

Every student benefits from finding an effective way to take notes. While some find it easiest to quickly jot down main ideas, others benefit from recording lectures and taking notes later in a quiet setting. Here are ' tips for note taking.

Stanford University offers a few note-taking tips to its students. 

1. Listen to the professor and think about key points. Don't quote your professor verbatim; instead put the thoughts into your own words.


2. Never write entire sentences when taking notes. Note key ideas in short phrases.


3. After class, ask to share notes with classmates. See what they felt were key points, and note anything you now feel is important.


4. Read notes back as soon after class as possible. Make sure you can read everything you've written. Research points that were not clear.

Cornell University also has a note-taking method it shares with students. This method follows five Rs: Record, Reduce, Recite, Reflect, and Review. To use its method, divide your paper into two columns.

• 
  Record: Take as many notes as possible in the first column during class.


• 
  Reduce: Look over the notes and cut out extraneous information.


• 
  Recite: Read the notes back and put the thoughts into your own words to secure each point in your memory.


• 
  Reflect: Think about the notes and the lesson you learned and research anything that isn't clear.


• 
  Review: Look back over your notes once a week to keep the information fresh in your mind.

Why does Montag kill Beatty?

In Fahrenheit 451, the protagonist Guy Montag murders fire chief Beatty in an act of impulsive desperation. After the firemen are deployed to Montag's house, Beatty reveals that Montag's hidden stash of books has been discovered, thus making Montag a criminal. At this point, Beatty already had a tendency to taunt Montag and bully him into cooperative submission. Beatty is an arrogant, though knowledgeable, gentleman who uses his knowledge of books and literature to suggest...

In Fahrenheit 451, the protagonist Guy Montag murders fire chief Beatty in an act of impulsive desperation. After the firemen are deployed to Montag's house, Beatty reveals that Montag's hidden stash of books has been discovered, thus making Montag a criminal. At this point, Beatty already had a tendency to taunt Montag and bully him into cooperative submission. Beatty is an arrogant, though knowledgeable, gentleman who uses his knowledge of books and literature to suggest to Montag that their job of burning books is not only their legal responsibility but their moral responsibility as well.

When Beatty orders Montag to burn the books in his house, Beatty discovers the secret earpiece through which Montag and his literature-reading friend Faber have been communicating. With Montag having lost his wife (she flees after discovering Montag's books) and profession, and with a criminal charge of keeping literature being placed upon his head, he feels he has no choice but to kill Beatty and to escape. He kills Beatty in order to save himself, but more importantly, to save Faber from persecution.

Elizabeth Bennet Character Change

Elizabeth is clearly a very bright and opinionated woman at the outset of the novel. Though she knows she must marry in order to provide a future for herself, she does not want to accept just any husband, and she rejects the pitiful Mr. Collins as beneath her. She has an independent streak that is rare for a woman in Regency England and that catches Mr. Darcy's eye.

However, Elizabeth also has a way of...

Elizabeth is clearly a very bright and opinionated woman at the outset of the novel. Though she knows she must marry in order to provide a future for herself, she does not want to accept just any husband, and she rejects the pitiful Mr. Collins as beneath her. She has an independent streak that is rare for a woman in Regency England and that catches Mr. Darcy's eye.

However, Elizabeth also has a way of being quick to make decisions that is, as the title suggests, somewhat prejudicial. She judges Darcy as unworthy because he is occasionally impolite and uncouth, while she believes the charming and courtly Wickham deserves pity for the way Darcy has treated him. Only later, after Wickham runs off with her younger sister Lydia without being married (something only a cad would do in those times), does Elizabeth realize that she has been too quick to judge Wickham as worthy. While visiting Darcy's fine estate at Pemberley, Elizabeth realizes that Darcy is actually a man of good taste and admirable discretion (further proven when he forces Wickham to marry Lydia and save her—and the family's—good name). Elizabeth tempers her predilection to make snap judgments and becomes more subtle in her decision-making by the end of the novel. She sees the complexity in Darcy and accepts his hand in marriage. 

What is the writing style in "A Rose for Emily"?

"A Rose for Emily" is a short story by William Faulkner. It is narrated by a third person narrator who is not named and is assumed to speak as the voice of the Mississippi town in which the story is set. The writing style of the story is related to this narrative perspective, as it also determines the tone and structure of the story.

The story's tone is determined by the narrator and his/her attitude toward Miss Emily Grierson, the title character. The narrator is obviously curious and interested in Emily, but he/she also does not seem to know Emily very well. The narrative voice is gossipy, and most of the information in the story is based on rumor. The narrator and the town's observations from the outside provide the rest of the information. Emily has no voice in her story; we never get her perspective. As no one in the town knows her very well, they cannot report accurately on her life. The narrator tells us that Emily is "a tradition, a duty, and a care" in the eyes of the townspeople. Because of the family's history in the town (they apparently used to be very influential, they were once wealthy, and they once had special privileges in the town), the narrator and the community cannot simply ignore Emily as an eccentric old woman. There is something about her that they respect. 

Finally, the narrator determines the unconventional structure of the story. "A Rose for Emily" is organized into numbered sections. The first section announces that Emily is dead and that the town is interested in seeing the inside of her house. Then, the narrator goes back and tells us, in a rather disorganized manner, a series of details about Emily's life (again, gleaned from the outside, through observation and rumor). Eventually, the story ends up back in the house after Emily's death, where the people discover a decaying dead body in a bedroom that is decorated like a bridal chamber. It turns out that Emily had been sleeping with Homer's body for years, that she probably bought the rat poison to kill him, and that she fantasized about their wedding day, which was never to be. The way the story is organized creates suspense and leaves readers shocked at the ending. However, during a second reading, we can go back and see some clues that serve as foreshadowing (the smell at Emily's house, the disappearance of Homer, and Emily's purchase of the poison). At the same time, the narrator has already created some sympathy for Miss Emily through the story, so it is difficult for readers to dismiss her outright, even with the shocking final revelation.

The story could also be described as symbolic, in the sense that Emily as a character and her relationship with Homer (or rather his dead body) represent the decaying Old South and the extinction of the old values of the antebellum period. Some who had power in that time tried desperately to hang on to the past, but they too, like Emily, will die one day, as the world around them progresses.

What is an example of something today to illustrate Charles Peirce's definition of pragmatism, which considers practical consequences or real...

Charles Peirce believed that a statement has to have practical applications to be meaningful. He stated that we must consider the practical effects of a conception to understand an idea.

For example, the source in the links below is about a hotel attendant who handed a guest an object that looked very much like a key but that the attendant said was not a key. The guest used the object to open the door, and...

Charles Peirce believed that a statement has to have practical applications to be meaningful. He stated that we must consider the practical effects of a conception to understand an idea.

For example, the source in the links below is about a hotel attendant who handed a guest an object that looked very much like a key but that the attendant said was not a key. The guest used the object to open the door, and it worked. However, the attendant referred to key-like objects that did not open the door as keys and did not refer to the one key that worked as a key. As the writer points out, perhaps the attendant had earlier knowledge about what a key was (perhaps an earlier set of keys that no longer worked) and therefore did not identify this new object as a key. However, as we define objects or concepts by their practical applications, the object the guest used to open a door is in fact a key. Therefore, our notion of what something is is defined by what it does or its effects. 

What effects did the invention of the printing press have on European society?

The invention of the printing press had a big impact on Europe. Before the printing press was invented, documents had to be written by hand, often by scribes. This was a very time-consuming process. Once the printing press was invented, it was possible to spread information very quickly and more accurately. This helped to educate the public about various topics.

More materials that were now being printed weren’t religious in nature. Prior to the printing...

The invention of the printing press had a big impact on Europe. Before the printing press was invented, documents had to be written by hand, often by scribes. This was a very time-consuming process. Once the printing press was invented, it was possible to spread information very quickly and more accurately. This helped to educate the public about various topics.

More materials that were now being printed weren’t religious in nature. Prior to the printing press, a lot of materials that were written dealt with religious topics. Many of the scribes worked for the Church. Thus, the materials that were written tended to be religious in nature. After the printing press was developed, more materials dealing with science were published. Scientists could more accurately and more quickly share information with each other. This helped lead to advances in science. The development of the printing press led to less censorship of materials. Since materials were being published by groups or individuals not connected with the Church, the Church had less ability to control what was being published and the information that was being made available to the public.

The printing press had a tremendous impact on Europe.

Is Beowulf the ideal epic hero? If not, what is he lacking?

Yes, Beowulf is basically the ideal epic hero. He is larger-than-life, exceptionally strong, brave, loyal, and respected. He does eventually fall in the battle with the dragon at the end of the poem, but he does so protecting his kingdom. The response of his men after his death shows that they hold him as a great king and hero.

Beowulf is not immortal, but he is "larger-than-life," meaning he is better than normal humans. He...

Yes, Beowulf is basically the ideal epic hero. He is larger-than-life, exceptionally strong, brave, loyal, and respected. He does eventually fall in the battle with the dragon at the end of the poem, but he does so protecting his kingdom. The response of his men after his death shows that they hold him as a great king and hero.

Beowulf is not immortal, but he is "larger-than-life," meaning he is better than normal humans. He is the strongest warrior we see in the poem. He is the one who defeats the dreadful monster Grendel, who terrorized Hrothgar's kingdom for years; none of his warriors were strong or brave enough to defeat the beast. Beowulf is so strong he rips Grendel's arm from his shoulder. 

Beowulf's bravery is also legendary. He chooses, of his own free will, to travel to Hrothgar's kingdom after hearing the reports of Grendel's ongoing violence. He puts his life on the line to help people in a kingdom in which he does not even live. He is brave enough to wait for the monster to come into the mead hall and fights him without weapons, as Grendel will not be using any. After killing Grendel, Grendel's mother starts taking revenge on the kingdom. Beowulf volunteers to go to the underwater cave to fight her on her own turf. He does need the help of a magical sword to defeat Grendel's mother, but that supernatural force may indicate that Beowulf is favored by the divine. 

Finally, Beowulf is a loyal and respected leader. His men trust him and swear allegiance to him in the fight against Grendel. Beowulf, in turn, asks Hrothgar to care for his men in the event that he is killed in battle. He becomes a respected king later in the poem and puts his life on the line again in order to kill a dragon that threatens his people. One of his men jumps in and helps defeat the dragon in battle after Beowulf is mortally wounded because Beowulf inspires loyalty in his men. They memorialize him after his death in a way that shows how lauded he is as a leader. 

One possible negative quality is that Beowulf is not completely selfless. He does take treasure from the monsters' caves, and he probably takes on the epic tasks to enhance his reputation and experience the glory of his victories. However, one could also argue that swagger and confidence are necessary in an epic hero. All in all, yes, Beowulf is an ideal epic hero. 

`int cos(2x)cos(6x) dx` Find the indefinite integral

Indefinite integrals are written in the form of `int f(x) dx = F(x) +C`

 where: `f(x)` as the integrand

          `F(x)` as the anti-derivative function 

           `C`  as the arbitrary constant known as constant of integration

For the given problem: `int cos(6x)cos(2x) dx` has a integrand in a form of trigonometric function. To evaluate this, we apply the identity:

`cos(A)cos(B) =[cos(A+B) +cos(A-B)]/2`

The integral becomes:

`int cos(6x)cos(2x) dx...

Indefinite integrals are written in the form of `int f(x) dx = F(x) +C`

 where: `f(x)` as the integrand

          `F(x)` as the anti-derivative function 

           `C`  as the arbitrary constant known as constant of integration

For the given problem: `int cos(6x)cos(2x) dx` has a integrand in a form of trigonometric function. To evaluate this, we apply the identity:

`cos(A)cos(B) =[cos(A+B) +cos(A-B)]/2`

The integral becomes:

`int cos(6x)cos(2x) dx = int[cos(6x+2x) +cos(6x-2x)]/2dx`

 Apply the basic properties of integration: `int c*f(x) dx= c int f(x) dx` .

`int[cos(6x+2x) +cos(6x-2x)]/2dx = 1/2int[cos(6x+2x) +cos(6x-2x)]dx`

 Apply the basic integration property: `int (u+v) dx = int (u) dx + int (v) dx` .

`1/2 *[intcos(6x+2x) dx+int cos(6x-2x)dx]`

Then apply u-substitution to be able to apply integration formula for cosine function: `int cos(u) du= sin(u) +C` .

For the integral: int cos(6x+2x) dx, we let `u = 6x+2x =8x` then `du= 8 dx` or `(du)/8 =dx` .

`intcos(6x+2x) dx=intcos(8x) dx`

                                 `=intcos(u) *(du)/8`

                                `= 1/8 int cos(u)du`

                                 `= 1/8 sin(u) +C`

Plug-in `u =8x` on `1/8 sin(u) +C` , we get:

`intcos(6x+2x) dx=1/8 sin(8x) +C`

 For the integral: `intcos(6x-2x) dx` , we let `u = 6x-2x =4x` then `du= 4 dx` or `(du)/4 =dx` .

`intcos(6x-2x) dx=intcos(4x) dx`

                                `=intcos(u) *(du)/4`

                                `= 1/4 int cos(u)du`

                                `= 1/4 sin(u) +C`

Plug-in `u =4x` on `1/4 sin(u) +C` , we get:

`intcos(6x-2x) dx=1/4 sin(4x) +C`

Combing the results , we get the indefinite integral as:

`1/2 *[intcos(6x+2x) dx+int cos(6x-2x)dx] = 1/2*[1/8 sin(8x) +1/4 sin(4x)] +C`

or ` 1/16 sin(8x) +1/8 sin(4x) +C`

`int 5/(x^2+3x-4) dx` Use partial fractions to find the indefinite integral

`int 5/(x^2+3x-4)dx`

To solve using partial fraction, the denominator of the integrand should be factored.

`5/(x^2+3x-4)=5/((x+4)(x-1))`

Then, express it as sum of fractions.

`5/((x+4)(x-1))=A/(x+4)+B/(x-1)`

To determine the values of A and B, multiply both sides by the LCD of the fractions present.

`(x+4)(x-1)*5/((x+4)(x-1))=(A/(x+4)+B/(x-1))*(x+4)(x-1)`

`5=A(x-1)+B(x+4)`

Then, assign values to x in which either x+4 or x-1 will become zero.

So plug-in x=-4 to get the value of A.

`5=A(-4-1)+B(-4+4)`

`5=A(-5)+B(0)`

`5=-5A`

`-1=A`

Also, plug-in x=1

`5=A(1-1)+B(1+4)`

...

`int 5/(x^2+3x-4)dx`

To solve using partial fraction, the denominator of the integrand should be factored.

`5/(x^2+3x-4)=5/((x+4)(x-1))`

Then, express it as sum of fractions.

`5/((x+4)(x-1))=A/(x+4)+B/(x-1)`

To determine the values of A and B, multiply both sides by the LCD of the fractions present.

`(x+4)(x-1)*5/((x+4)(x-1))=(A/(x+4)+B/(x-1))*(x+4)(x-1)`

`5=A(x-1)+B(x+4)`

Then, assign values to x in which either x+4 or x-1 will become zero.

So plug-in x=-4 to get the value of A.

`5=A(-4-1)+B(-4+4)`

`5=A(-5)+B(0)`

`5=-5A`

`-1=A`

Also, plug-in x=1

`5=A(1-1)+B(1+4)`

`5=A(0)+B(5)`

`5=5B`

`1=B`

So the partial fraction decomposition of the integrand is

`int 5/(x^2+3x-4)dx`

`= int 5/((x+4)(x-1))dx`

`= int (-1/(x+4)+1/(x-1))dx`

Then, express it as two integrals.

`= int -1/(x+4)dx + int 1/(x-1)dx`

`= - int 1/(x+4)+int 1/(x-1)dx`

To take the integral, apply the formula `int 1/u du = ln|u| + C` .

`= -ln|x+4| + ln|x-1| + C`

Therefore, `int 5/(x^2+3x-4)dx= -ln|x+4| + ln|x-1| + C` .

What was Machiavelli's view of the psychology of the people on which he bases his instructions to a ruler in The Prince? What are the aims of the...

Niccolò Machiavelli's work, The Prince, appears on the surface to follow the common genre of the "mirror for princes", a type of medieval and Renaissance genre of non-fiction that set out the virtues of the ideal ruler, giving instruction to the great and powerful on how to conduct themselves. The two most important models for the genre were classical, namely Isocrates' To Nicocles and Cicero's De officiis. The normal purpose of such treatises was...

Niccolò Machiavelli's work, The Prince, appears on the surface to follow the common genre of the "mirror for princes", a type of medieval and Renaissance genre of non-fiction that set out the virtues of the ideal ruler, giving instruction to the great and powerful on how to conduct themselves. The two most important models for the genre were classical, namely Isocrates' To Nicocles and Cicero's De officiis. The normal purpose of such treatises was twofold, first as a way to give moral advice and exhort the powerful to emulate the virtues of the ideal prince and second to flatter the rich and powerful in hopes of attracting patronage to the writer. Machiavelli had been a powerful figure in the Florentine Reupblic, but after the conquest by the Medici family was ousted from power and retired to his estate and concentrated on his writing. This treatise may have been intended to regain some of his lost political power and influence, as suggested by its dedication to Lorenzo di Medici. 

Machiavelli's work is atypical of the genre of the mirror for princes, in that it treats virtue as something to be used only instrumentally as a way to seek power. He separates people into groups and evaluates their psychology primarily in terms of how likely or unlikely they are to be a threat to the power of the prince. His work is notable in that it sees people as motivated mainly by a desire for wealth and power rather than attracted to virtue for its own sake. Even religion, in the form of the Roman Catholic Church, is seen primarily as another form of political entity vying for dominion, in a way that blends what we now would call hard and soft power.

Machiavelli is, to a great degree, concerned with the wealthy and powerful who are potential rivals to the prince. He divides them into the weak, who are not significant threats, and the strong who are useful allies but also potentially serious rivals. He assumes that the weak can be controlled by fear, which acts on them more strongly than their desire for riches or power, but that the strong need to be watched more closely and bound by ties of strong self interest, weakened, or even murdered. Like Hobbes, with whom he is often compared, he has a generally low opinion of most people, describing human nature as  “ungrateful, fickle, false, cowardly, and covetous.”

What is the basic theme of The Trials of Apollo?

The basic theme in Rick Riordan's The Trials of Apollo concerns the change in perspective that the main character undergoes. The novel begins as the god Apollo finds himself sent down from Olympus to Earth in the body of a teenager as a punishment from his father, Zeus. He has to accomplish several missions in order to return back "home" as a god. Apollo is selfish, narcissistic (though not unkind, sometimes), and ill-equipped to deal...

The basic theme in Rick Riordan's The Trials of Apollo concerns the change in perspective that the main character undergoes. The novel begins as the god Apollo finds himself sent down from Olympus to Earth in the body of a teenager as a punishment from his father, Zeus. He has to accomplish several missions in order to return back "home" as a god. Apollo is selfish, narcissistic (though not unkind, sometimes), and ill-equipped to deal with the limitations of a human (and mortal!) body and mind. Much like a person in good health might find it difficult to relate to someone with a disability, Apollo the god cannot relate to mortals or demigods and the challenges they face. Lester, as Apollo is now called, spends a lot of his time processing the predicament he is in and comparing his current capabilities to the godly powers he used to have. Now he has to give up his comfort and risk his life for someone else—something he used to expect the demigods, including his own children, to do for his benefit. Eventually, though with great difficulty, he develops empathy for others, and his relationships are no longer guided by pure self-love, all because he was forced to step into someone else's shoes. Seeing the world through the eyes of Lester changes Apollo's perspective—and we, the readers, can appreciate the lessons he has learned the hard way.

How does Steinbeck create an ominous atmosphere in Chapter 2?

In Chapter Two, Steinbeck introduces the main characters who work and live on the ranch. Not only are characters introduced but also three of the important conflicts which threaten both George's and Lennie's friendship and George's dream of owning his own farm. The first event which portends later complications is when George and Lennie see the boss. Rather than remembering to keep quiet, Lennie repeats George's words about being "strong as a bull" and causes the boss to become suspicious of George:

"Now he's got his eyes on us. Now we go to be careful and not make no slips. You keep your big flapper shut after this." He fell morosely silent.

George's morose silence is a sign of his growing discontent with Lennie, who always seems to act inappropriately at the wrong time.

Second, Curley's appearance in the bunkhouse foreshadows the events in Chapter Three. He immediately seems to take a disliking to Lennie, sizing him up and insisting that he speak:

He glanced coldly at George and Lennie. His arms gradually bent at the elbows at the elbows and his hands closed into fists. He stiffened and went into a slight crouch. His glance was at once calculating and pugnacious. Lennie squirmed under the look and shifted his feet nervously..."By Christ, he's gotta talk when he's spoke to."

Later, Candy claims that Curley is often out to fight a bigger man in order to prove his mettle. Therefore, he proves an ominous threat to George's hopes that he and Lennie can "roll up a stake" for their future farm.

Finally, the intrusion of Curley's wife into the bunkhouse is another threat to George and Lennie. Lennie has a history of being fascinated with soft hair and fabric, and Curley's wife's appearance in the bunkhouse again seems to pique Lennie's interest. After George violently admonishes Lennie for looking at Curley's wife, the big man expresses his fears about working on the ranch and even tells George that they should leave:

Lennie cried out suddenly—"I don' like this place, George. This ain't no good place. I wanna get outa here."

George argues that they need the money and must stay. In retrospect, this is a mistake and these threats materialize into trouble in proceeding chapters.

How do polar bears behave in Antarctica?

Actually, polar bears are Arctic animals, not Antarctic. The largest carnivores on the Antarctic continent are seals and penguins. These animals feed on fish and are quite approachable since there is almost nothing in Antarctica that would want to eat them. Antarctica is located at the South Pole; the polar bears you mention are at the North Pole. This is the Arctic Circle of Northern Alaska and Canada.

If your question was about polar bear...

Actually, polar bears are Arctic animals, not Antarctic. The largest carnivores on the Antarctic continent are seals and penguins. These animals feed on fish and are quite approachable since there is almost nothing in Antarctica that would want to eat them. Antarctica is located at the South Pole; the polar bears you mention are at the North Pole. This is the Arctic Circle of Northern Alaska and Canada.

If your question was about polar bear behavior in the Arctic, it would be different. Polar bears hunt seals over breathing holes in ice. They also take advantage of seal breeding grounds as well as migratory fish. Polar bears enjoy carrion when they can get it. Polar bears can swim for miles in search of new hunting areas. If polar bears were transplanted to the Antarctic, they would be at the top of the food chain until they had eaten all of the penguins and seals. After this, the polar bear population on the continent would collapse without a food source.

Question 1 Part (a) Open the “Bus Maintenance.xls” file that is posted with the Assignment. In order to test...

(a) I do not have a current copy of Excel. Here are the instructions to get the results from the F-Test:

(1) Enter the data into columns A and B(2) From the toolbar select Data -> Data Analysis(3) Analysis Tools -> F-Test(4) Input the ranges for A and B(5) Input the confidence level: Here since we are looking for a difference (not that one is greater/less than the other) we must...

(a) I do not have a current copy of Excel. Here are the instructions to get the results from the F-Test:

(1) Enter the data into columns A and B
(2) From the toolbar select Data -> Data Analysis
(3) Analysis Tools -> F-Test
(4) Input the ranges for A and B
(5) Input the confidence level: Here since we are looking for a difference (not that one is greater/less than the other) we must use `alpha/2=.025 `
(6) Select where you want the output to be sent.

You should get the following information:

F=1.941286452
p=0.0673612091
`S_(x1)=71.8375172 `
`S_(x2)=51.5592394 `
` bar(x_1)=448.7179487 `
`bar(x_2)=451.7 `
n1=39
n2=30

(b)Do not reject the null hypothesis. p>.05.

If p<alpha we reject the null hypothesis as the random sample should not occur by chance if the variances are actually equal.

What social, political, and economic factors influence fashion?

Fashion refers to a popular trend, especially in dressing, footwear or accessories. The following is an analysis of factors that influence fashion:

Social Influences

Music: This is an important part of the culture of any society. While different cultures have their unique forms of music, people are often able to relate to even the most foreign forms. As such music brings together the cultures of the world, allowing them a means of communication, expression, or...

Fashion refers to a popular trend, especially in dressing, footwear or accessories. The following is an analysis of factors that influence fashion:

Social Influences

Music: This is an important part of the culture of any society. While different cultures have their unique forms of music, people are often able to relate to even the most foreign forms. As such music brings together the cultures of the world, allowing them a means of communication, expression, or celebration. Many musicians also express themselves through their dressing or fashion sense, for instance, hip hop artistes such as Tupac, brought in the sagging jeans and gold chain fashion ensemble; indie music brought on the skinny jeans trend.

Occupation: Every profession has a work culture, which includes dressing code and sense of fashion. For instance, an office worker is generally expected to use minimal makeup, wear formal clothes and shoes. A farmer on the other hand would prefer to don overalls and perhaps gunny boots or other comfortable types of footwear. Factory workers have their own uniforms, and so do the police or people serving in the army or nurses and others working in the medical field.

Occasion: Every occasion has a dress code. For example, while brightly colored clothes and makeup might be appropriate at a casual party, more polished and subdued clothing might be donned for a church service. 

Political Influences

There have been many political figures that have influenced fashion trends, for instance, Jackie Kennedy epitomized simple, chic fashion, and Melania and Ivanka Trump, Michelle Obama and Theresa May (the British Prime Minister) are all present day fashion icons from the political class. Government policies can push for things like the buying of locally made items, through increased taxation of imports, or promotion of the production of items out of recycled products. Animal rights groups such as PETA, have fought against the use of animal skins and furs in the fashion industry.

Economic Influences

During times of high economic growth, consumers have more disposable income that can be spent towards fashionable clothing and accessories. However, during periods of recession, consumers tend to prioritize needs such as basic food, shelter and clothing, thereby restricting spending on fashionable items. Also, most millenials have embraced cost saving measures such as cloth/accessory renting or leasing services, especially for highly expensive designer gowns, tuxedos purses, and jewelry. Companies such as Bag Borrow or Steal and Rent the Runway make use of this concept to cater for those who wish to reduce their spending on fashionable items.

1. (4 point) You are alone in space and your tether brakes and you are floating motionless relative to your spaceship, which is located a...

1) There might be various possible answers to this question. One way to return to your spaceship is by throwing the wrench in the direction opposite to the direction between your and the ship. This will get you moving in the direction of the spaceship.

The physical principle involved here is the conservation of the linear momentum. The original momentum of "you-and-the-wrench" system, relative to the spaceship, is zero. If you through the wrench away from...

1) There might be various possible answers to this question. One way to return to your spaceship is by throwing the wrench in the direction opposite to the direction between your and the ship. This will get you moving in the direction of the spaceship.

The physical principle involved here is the conservation of the linear momentum. The original momentum of "you-and-the-wrench" system, relative to the spaceship, is zero. If you through the wrench away from the spaceship, you will give it momentum equal to the mass of the wrench times the velocity of the wrench. The harder you throw the wrench, the greater its velocity and the momentum. 

Because momentum is conserved, since wrench is now given momentum pointing away from the ship, you will then be given momentum equal to that of the wrench and pointing toward the ship. This means you will start moving in the direction of the ship and your momentum will equal your mass times your velocity. Because you are more massive than the wrench, your speed will be smaller than that of the wrench. However, because you are in space, where is no air, there will be no resistance to your motion. So after you throw the wrench you will continue moving with the same speed in the same direction, and eventually reach the ship. This is according to the first Newton's law, also known as the principle of inertia, which states that in the absence of forces an object continues to move with the given velocity (with the same speed and in the same direction.)

2a) To find the orbital period of Swisscheese, you need the third Kepler's Law, the law of orbits. It states that for two planets orbiting around the same star, or another planet, the square of orbital period equals the cube of the radius of the orbit. This is independent of the mass of the orbiting planets, and follows directly from the Newton's law of gravity.

So if the average orbital distance of Swisscheese is double that of the moon, the square of its orbital period is eight times greater, and the orbital period itself is greater by a factor equal to the square root of eight, or approximately 2.83.

IN THE FEDERALIST PAPERS 10 How did the 20th century developments of Primary Elections and Expansion of Suffrage move the United States from a...

The development of the primary election and the expansion of suffrage moved the United States toward a more democratic society. Before primary elections were held, party leaders chose the candidates of the party who were running for office. This limited the involvement of citizens in determining who their leaders would be. For example, the state legislatures used to choose United State Senators. This changed with the passage of the 17th amendment. With the direct primary,...

The development of the primary election and the expansion of suffrage moved the United States toward a more democratic society. Before primary elections were held, party leaders chose the candidates of the party who were running for office. This limited the involvement of citizens in determining who their leaders would be. For example, the state legislatures used to choose United State Senators. This changed with the passage of the 17th amendment. With the direct primary, anybody could run for an office. Party members would then choose their candidate.

The expansion of suffrage meant more people were voting. When more people are involved in the process of choosing their leaders, it allows for the expansion of democracy. In 1920, women got the right to vote. As a result, there was an expansion of the democratic process by allowing women to vote.

When more people are involved in democratic progress, this reduces the likelihood that factions will control the government and taint our public Administrations.

In "The Life You May Save May Be Your Own" , who is worse,Shiftlet or Mrs.Crater ? Use quotes.

In a moral sense, Mrs. Crater is the worse of the two.  As her mother, it is Mrs. Crater's responsibility to look out for her daughter's well-being; this responsibility is intensified because of Adminnell's multiple vulnerabilities: deafness, muteness, and mental deficiency.  Mrs. Crater essentially sells her daughter for $17.50, a broken down car, and a place for Shiftlet to stay. Though Adminnell is in her thirties, Mrs. Crater lies to Shiftlet, signalling that she would...

In a moral sense, Mrs. Crater is the worse of the two.  As her mother, it is Mrs. Crater's responsibility to look out for her daughter's well-being; this responsibility is intensified because of Adminnell's multiple vulnerabilities: deafness, muteness, and mental deficiency.  Mrs. Crater essentially sells her daughter for $17.50, a broken down car, and a place for Shiftlet to stay. Though Adminnell is in her thirties, Mrs. Crater lies to Shiftlet, signalling that she would hand off an underage girl to him: "How old is she?" Mr. Shiftlet asked casually. "Fifteen, sixteen," the old woman said."

Shiftlet's behavior is also despicable, but less so, since he isn't using his own flesh and blood as the stakes in a symbolic poker game. He is simply a drifter, opportunist, and con man, and so his abandonment of Adminnell and theft of the car are hardly shocking. His hypocrisy at the end of the story is therefore laughable when he prays ""Oh Lord!" Break forth and wash the slime from this earth!"

How was Jem affected by Boo Radley? - To kill a Mockingbird

Jem is affected in several ways by Arthur "Boo" Radley. 

With the arrival of Dill Harris, who spends the summer at the home of his aunt's, Jem's interest in the strange recluse increases because of Dill's curiosity.

The first raid came to pass only because Dill bet Jem The Gray Ghost against two Tom Swifts that Jem wouldn't get any farther than the Radley gate. In all his life, Jem had never declined a dare.
Jem thought about it for three days. I suppose he loved honor more than his head, for Dill wore him down.

Jem runs up to the Radley house and slaps it with his palm and races back in fear. When they get on the Finch porch, they look down the street, but nothing has changed. During the summer, the children playact various scenes based on the rumors about the Radleys. After some time, however, Jem and the others become deceptive about roleplaying about the Radley family because Atticus has told them to leave Arthur alone. One day Atticus comes home unexpectedly and catches Jem, Dill, and Scout when they have been told to end such play.  Although Jem tries to deceive Atticus, Atticus uses one of his legal tricks and leads Jem into admitting that they are engaged in reenacting Boo's history. 

One night after being scolded, however, Dill and Jem decide to peep into one of the windows at the Radley house. Someone from inside the house steps out onto the porch and fires a rifle. The children scatter, but Jem catches his pants on the barbed wire. He is forced to remove them so he can escape. Having heard the report of the rifle, the neighbors come outside. When Atticus sees that Jem is not wearing pants, he asks Jem what he has done with his pants. Dill quickly says that he won Jem's pants from him when they were playing strip-poker. "Were you all playing cards?" Atticus asks pointedly. Jem intervenes and says that they were using matches. That night as he and Scout lie on the porch, Jem says that he is going to retrieve his pants from the Radley yard because he does not want his father to know that he has been deceitful again.

Despite their invasions of the Radleys' privacy and acts of imitation, Boo leaves gifts for the children in the knothole of one of the trees that the children pass each day on their way home. When they find two soap figures carved in their likenesses, Jem is very touched. He saves them in his trunk of mementos. Then, after Nathan Radley cements this hole to prevent his brother from giving Jem and Scout anything else, Jem is affected by the cruelty of Nathan Radley, and he sheds tears of anger and disappointment. Later, after the travesty of the trial of Tom Robinson, a disgruntled Jem remarks, "I think I'm beginning to understand why Boo Radley's stayed shut up in the house all this time...it's because he wants to stay inside." 

In the final chapters, Boo Radley demonstrates his love for the Finch children again when he becomes aware of the children's distress as they attempt to reach home but are attacked by the scoundrel Bob Ewell. Boo comes outside and intervenes, and in the struggle between the two men, Ewell dies. Afterwards, Boo carries Jem home because Jem's arm has been broken. A deeply moved Atticus thanks Arthur for saving his children's lives after Sheriff Tate explains what has happened. From then on, Jem bears the reminder of the loving intervention of Boo Radley since his injured arm is shorter than the other. 

In the boy in the striped pajamas, does Karma hit Bruno's father or not?

I think that the force of Karma hits Bruno's father.

If we define Karma as a person's actions playing a role in their end fate, it becomes clear that the ending of Boyne's novel provides karmic alignment to Bruno's father.  Bruno's father was an active participant in Nazism.  His support of Nazism causes a rift between he and his mother.  It compels him to move his family to Auschwitz.  Bruno's father sees participation in Nazism...

I think that the force of Karma hits Bruno's father.

If we define Karma as a person's actions playing a role in their end fate, it becomes clear that the ending of Boyne's novel provides karmic alignment to Bruno's father.  Bruno's father was an active participant in Nazism.  His support of Nazism causes a rift between he and his mother.  It compels him to move his family to Auschwitz.  Bruno's father sees participation in Nazism as critical to his career advancement.  Bruno's father does not pause to consider the implications of his actions.  He refuses to see how his work causes death and suffering to many.  He does not acknowledge that what is happening is barbaric and cruel.  

Such denial is where Karma becomes evident.  When Bruno's mother and father search for him in “every part of the house and...all the local towns and villages,” it is a painfully Karmic element. Bruno's father must experience the loss that millions of parents experienced during the Holocaust.  When Bruno's father pieces together what happens, he realizes that his own role in the devastation of millions contributes to the death of his only son.  He experiences what he did to many families. His actions play a clear role in his fate.  The moment where he stands at the threshold of such revelation is where Karma hits Bruno's father in the most painful of ways.  

Is David Sussman against torture? According to my understanding, he thinks torture is wrong, but he allows it as long as it does not involve...

David Sussman sets out a comprehensive case against torture in his article "What's Wrong With Torture?" Sussman's position is nuanced. He makes clear that he has no categorical objections to torture; what he does believe is that it bears an extremely high burden of justification, higher even than the act of killing.

Sussman's main concern can be described as a variant of the concerns that spring from Kantian ethics. In relation to torture, Kantianism would...

David Sussman sets out a comprehensive case against torture in his article "What's Wrong With Torture?" Sussman's position is nuanced. He makes clear that he has no categorical objections to torture; what he does believe is that it bears an extremely high burden of justification, higher even than the act of killing.

Sussman's main concern can be described as a variant of the concerns that spring from Kantian ethics. In relation to torture, Kantianism would oppose the practice on the grounds that it constitutes a violation of the individual's moral agency. What is particularly objectionable about torture, for the orthodox Kantian, is that it takes place without the victim's consent. On this reading, the level of pain inflicted upon the victim is of secondary importance.

Sussman criticizes this focus on the denial of a moral agent's ability to govern herself. That is not to say that this is not an important issue, it is just that there is a real danger we can lose sight of the fact that torture actually hurts and the profound moral implications that flow from this. What Sussman finds particularly objectionable about torture is that it forces a victim to betray her own interests, to act as a co-conspirator in her own degradation. The victim of torture is both utterly helpless and complicit in her violation.

Sussman's understanding of torture is relational. It takes place in an asymmetrical relationship in which the victim has no opportunity to put up any moral or legal resistance to her torturer.

A relational examination of torture automatically rules out a utilitarian approach or any other that focuses on the consequences, such as physical pain or psychological damage. Such consequences are indeed important, but by focusing our attention upon them, utilitarianism ignores what Sussman sees as the wider drama, the one-sided conflict involved in the relationship of domination and control enacted by the practice of torture.

In "The Love Song of J. Alfred Prufrock" the reader is shifted from a distant perspective to a more intimate closeness to the subject. Give an...

"The Love Song of J. Alfred Prufrock" begins with a description of a walk through the streets of an unnamed city in the evening--after dark. This description continues from line 2 to line 22. The next section seems to switch to the internal environment, the thinking of Prufrock, and yet it is phrased in the second person: "the faces that you meet," "drop a question on yourplate." So far the poem has kept us...

"The Love Song of J. Alfred Prufrock" begins with a description of a walk through the streets of an unnamed city in the evening--after dark. This description continues from line 2 to line 22. The next section seems to switch to the internal environment, the thinking of Prufrock, and yet it is phrased in the second person: "the faces that you meet," "drop a question on your plate." So far the poem has kept us at a distance from how Prufrock is feeling. That all changes at line 38 with the question "Do I dare?" and even more so at line 40 where he mentions "a bald spot in the middle of my hair." Now the pronoun "you" is replaced with "I," and the rest of the poem gives us a very intimate view of Prufrock's deepest insecurities. Those include his thin arms and legs, his "slightly bald" head, his advancing age, how he should comb his hair, and even his ability to "eat a peach." Beyond insecurities about his physical condition, though, we are also brought close enough to know the deep questions that trouble Prufrock, including whether his date will laugh at and misunderstand his conversation, his fear of dying, and his conviction that his best days are behind him, and they didn't amount to much. So although the poem starts out keeping the reader at a distance, it soon invites the reader into the fascinating and poignant inner sanctum of J. Alfred Prufrock's heart. 

How is Sanger Rainsford cunning?

Sanger Rainsford is a world-renowned hunter who demonstrates his cunning by creating several traps and maneuvering through the forest in order to escape General Zaroff.

Initially, Rainsford depicts his cunning by executing a series of intricate loops to throw the general off his path. By creating a misleading trail through the woods, Rainsford makes it difficult for the general to track his movements. Rainsford then retires in the limbs of a tree to rest...

Sanger Rainsford is a world-renowned hunter who demonstrates his cunning by creating several traps and maneuvering through the forest in order to escape General Zaroff.

Initially, Rainsford depicts his cunning by executing a series of intricate loops to throw the general off his path. By creating a misleading trail through the woods, Rainsford makes it difficult for the general to track his movements. Rainsford then retires in the limbs of a tree to rest above the ground in hopes of avoiding detection.

The next day, Rainsford spots a massive dead tree leaning precariously across a smaller one. Rainsford once again demonstrates his cunning by making a Malay mancatcher, which almost kills the general. Fortunately for Zaroff, he narrowly escapes being crushed by the massive dead tree.

While General Zaroff heads home to dress his wound, Rainsford once again reveals his cunning by digging a Burmese tiger pit, which ends up killing one of Zaroff's best dogs. Later on, Rainsford fastens his knife to a young sapling and uses grapevine to tie back the sapling before he runs away. When Zaroff and Ivan approach with their pack of dogs, the sapling springs forward and kills Ivan. After Rainsford dives into the ocean, he swims to shore and demonstrates his cunning by hiding in the general's room. Rainsford then kills General Zaroff in a one-on-one fight and sleeps peacefully in his bed.

How long do dogs live?

According to the Guinness Book of World Records, the oldest dog to have ever lived was an Australian Cattle Dog named Bluey. He was born in 1910 and died in 1939. (Guinness tells us that Bluey’s owner had him put to sleep, but they don’t mention why. Though he could have lived even longer, we must assume that he was probably either sick or in pain, and his owner had to make a tough decision.)

...

According to the Guinness Book of World Records, the oldest dog to have ever lived was an Australian Cattle Dog named Bluey. He was born in 1910 and died in 1939. (Guinness tells us that Bluey’s owner had him put to sleep, but they don’t mention why. Though he could have lived even longer, we must assume that he was probably either sick or in pain, and his owner had to make a tough decision.)

Bluey is an exception, though. On average, dogs live for 10–13 years, but there are plenty of variations among breeds. In general, small dogs tend to live longer than large dogs. (It’s thought that large dogs are more susceptible to diseases and other health problems because they grow so much faster than the smaller dogs.)

Some breeds are also more prone to illness than others, which shortens their average lifespan. Many of these issues can be blamed on the genetic traits for which the dogs have been specifically bred. Bulldogs, for example, are known for respiratory problems because of their shortened facial structures, while dachshunds are susceptible to back injuries because of their elongated spines.

Describe how the Industrial Revolution helped lay the foundations for WWI?

Industrial powers need resources to be productive. Manufactured goods require a number of materials like rubber, metals, or cotton. Militaristic industrial powers require those materials even more. In a quest for these materials, the European powers looked to other areas of the world to colonize. This endeavor often caused the military powers of Europe to compete for the same lands, particularly in Africa. This quest for colonies was one of the underlying causes of World...

Industrial powers need resources to be productive. Manufactured goods require a number of materials like rubber, metals, or cotton. Militaristic industrial powers require those materials even more. In a quest for these materials, the European powers looked to other areas of the world to colonize. This endeavor often caused the military powers of Europe to compete for the same lands, particularly in Africa. This quest for colonies was one of the underlying causes of World War I.

Because of the fact that nations were in competition for colonies with one another, they decided that having a strong military would help in this end. The nations of Europe became very militaristic in the years leading up to the first World War.  Militarism is also viewed as an important cause of World War I. The mass production of weapons leading up to World War I would not have been possible without industrialism.

In addition to the fact that industrialism was a cause of the Great War, it also changed the nature of warfare. Mass production of materials made warfare more destructive. Due to the fact that nations were able to efficiently produce weapons of war, the death counts skyrocketed. The delivery of the materials to the war front was also more efficient producing the same negative effect for soldiers. The Industrial Revolution, in many ways, actually defined the Great War.

Who is Slim? Describe his appearance and character in chapter 2.

In Of Mice and Men, Slim is introduced to the reader in chapter 2. In terms of his physical appearance, Slim is tall, with long, black hair that is brushed straight back. In terms of his age, it is hard to judge. He has an "ageless" appearance, meaning he looks anywhere from 35 to 50 years old. Like the other men on the ranch, Slim wears blue denim jeans and a denim jacket. He...

In Of Mice and Men, Slim is introduced to the reader in chapter 2. In terms of his physical appearance, Slim is tall, with long, black hair that is brushed straight back. In terms of his age, it is hard to judge. He has an "ageless" appearance, meaning he looks anywhere from 35 to 50 years old. Like the other men on the ranch, Slim wears blue denim jeans and a denim jacket. He also wears a Stetson hat.

On the ranch, Slim is a "jerkline skinner," meaning that he drives a team of mules. He is well-known among the men for his strength and skill.

When it comes to his speech, Slim speaks slowly, but this is not because of a lack of understanding. In fact, according to the text, he understands "beyond thought." Moreover, when he speaks, he has an air of authority. The other men always listen to him and accept his word as final.

In terms of his character, Slim is friendly and "kind." He gives a warm welcome to George and Lennie, for example, and he shows a genuine interest in George and Lennie's past, particularly how they came to be together. He also introduces the men to Carlson, a sign that he is keen to welcome them into the ranch family.

What two skills did Widge learn in the orphanage?

Widge learns how to lie and how to wrestle at the orphanage.

In chapter 7, Widge is assigned to transcribe Shakespeare's Hamlet before the playwright can print his play for the public. Our protagonist must answer to Falconer, the man who has been tasked by Simon Bass (Widge's employer) to make sure Widge does what he is told.

However, Widge experiences several challenges during his transcription project. First, the actors speak too fast. Second, Widge...

Widge learns how to lie and how to wrestle at the orphanage.

In chapter 7, Widge is assigned to transcribe Shakespeare's Hamlet before the playwright can print his play for the public. Our protagonist must answer to Falconer, the man who has been tasked by Simon Bass (Widge's employer) to make sure Widge does what he is told.

However, Widge experiences several challenges during his transcription project. First, the actors speak too fast. Second, Widge has trouble identifying each speaker on the pages of his writing. He tries to use numbers, but it proves too confusing. Last, but not least, Widge becomes so engrossed in the play that he loses his place on the pages of his notebook.

Knowing that he will not have the full play on paper to hand to Falconer, Widge decides to lie to the man. He remembers that he acquired the skill of lying at the orphanage and perfected the skill during his apprenticeship with Dr. Bright. So, when he meets Falconer, Widge tells the man that it was too noisy in the theater to hear everything. He casually mentions that only about fifty lines are missing. In actuality, Widge knows he missed more than that. 

Although a little irritated, Falconer believes Widge's lies. He tells Widge he will have another opportunity to watch a performance of the play and complete his transcription project.

A second skill that Widge learns at the orphanage is self-defense. In chapter 19, Widge tells us that every child in the orphanage learned the skill of catch-as-catch-can wrestling. The phrase "catch-as-catch-can" refers to pinning down one's opponent in any way one can. The winner is the one who manages to hold down an opponent for a period of time.

In catch-as-catch-can wrestling, contestants can grab on to any part of their opponents' bodies. So, when Nick attacks the defenseless Julian, Widge sets upon Nick; he clings on tightly to Nick's legs and does not let go. The skirmish does not last long, however. It is interrupted by Mr. Armin, the boys' teacher.

So, Widge learns two skills at the orphanage: how to lie and how to wrestle.

What could the British have done to prevent the American colonies from revolting?

Answers to this question inevitably venture widely into alternative history. 

Perhaps the simplest answer is something along the lines of this: Lord North, the British Prime Minister [1770-83], could have prevented the Coercive Acts and adopted a more lenient attitude toward the new world. Perhaps, this would have allowed the spirits of the colonist’s time to calm and prevented escalation after the Boston Tea Party.

Additionally, many argue that the relationship between England and the...

Answers to this question inevitably venture widely into alternative history. 

Perhaps the simplest answer is something along the lines of this: Lord North, the British Prime Minister [1770-83], could have prevented the Coercive Acts and adopted a more lenient attitude toward the new world. Perhaps, this would have allowed the spirits of the colonist’s time to calm and prevented escalation after the Boston Tea Party.

Additionally, many argue that the relationship between England and the colonies would need to be more normalized.  Perhaps the American colonies could have been integrated into the commonwealth one hundred and fifty years before its founding. A plan to create districts in the Americas and establish American members of the House of Commons, along with establishing a landed gentry class to fill new slots in the House of Lords, could have rectified the "no taxation without representation" argument.  By establishing a "normal" English government, and by eliminating the Royal Governors in the colonies, the British empire could have become unrivaled in its strength.   

How can we use the principles of design in our daily lives and creative endeavors? Can being aware of these principles help us make judgments and...

One of the principles of modern design and architecture is that "form follows function." This saying means that things should be designed in a way that answers to the need at hand rather than just being decorative. An object's function should determine its design. This principle can be used in our daily lives because we can design our lives to fulfill the needed tasks and eschew useless decoration. In other words, beauty comes from fulfilling...

One of the principles of modern design and architecture is that "form follows function." This saying means that things should be designed in a way that answers to the need at hand rather than just being decorative. An object's function should determine its design. This principle can be used in our daily lives because we can design our lives to fulfill the needed tasks and eschew useless decoration. In other words, beauty comes from fulfilling needs.

We can use these principles to make judgments about our surroundings because we can choose objects in our lives that fulfill our needs. For example, rather than cluttering our environment with useless or uncomfortable chairs, we can choose a chair that is sculpted to our body and that helps us complete tasks in an efficient and ergonomic manner. Another example is living in ways that are adapted to our environment. For example, growing a lawn in the dry parts of the American West may not be as environmentally friendly as growing native grasses that don't require a great deal of water. In this way, the idea of "form follows function" can also segue into environmental design. 

Symmetry and balance are also essential to architecture and designing industrial objects and furniture. In design, symmetry refers to arranging objects in the same manner on both sides of an axis to create a pleasing design. By applying the principle of symmetry and balance to our daily lives, we'll be more psychologically healthy by, for example, balancing work and play. Balance is as critical to daily life as it is to good design. 

What is political ideology?

A political ideology is a set of political beliefs. In other words, an ideology is a collection of ideas, usually revolving around a central assumption or belief, that people think should govern society.

Usually we compare political ideologies by putting them on a spectrum, with the left being in American politics more liberal, and the right more conservative. To give examples in an American context, "liberalism," the more left-leaning ideology in American politics, argues among...

A political ideology is a set of political beliefs. In other words, an ideology is a collection of ideas, usually revolving around a central assumption or belief, that people think should govern society.

Usually we compare political ideologies by putting them on a spectrum, with the left being in American politics more liberal, and the right more conservative. To give examples in an American context, "liberalism," the more left-leaning ideology in American politics, argues among other things that society ought to do more to foster equality and social justice among people. In many cases, this entails government action, as in the New Deal of the 1930s, or the Great Society of the 1960s, touchstones for modern liberalism. "Conservatism," the more right-leaning of the ideologies in American politics, argues, among other things, for more emphasis on economic freedom than on equality or justice. Typically conservatives position themselves against government regulation and attempts to create social justice and equality, arguing that they often result in unintended consequences and involve enormous expense.

These are only two relatively moderate examples of political ideology, and it should be noted that "Republican" and "Democrat" are political parties, not ideologies. Parties are aligned to particular ideologies (more at some times than at others) but are not synonymous with them. 

A 20.0-L nickel container was charged with 0.852 atm of xenon gas and 1.34 atm of fluorine gas at 400°C. The xenon and fluorine react to form...

The chemical reaction for the given scenario can be written as:

`Xe + 2F_2 -> XeF_4`

That is, 1 mole of xenon reacts with 2 moles of fluorine to produce 1 mole of xenon tetrafluoride.

In this question, 0.852 atm of xenon gas reacts with 1.34 atm of fluorine gas. Using the ideal gas law, we can calculate the moles of each of the reactants.

Therefore, moles of xenon = PV/RT = (0.852 atm x...

The chemical reaction for the given scenario can be written as:

`Xe + 2F_2 -> XeF_4`

That is, 1 mole of xenon reacts with 2 moles of fluorine to produce 1 mole of xenon tetrafluoride.

In this question, 0.852 atm of xenon gas reacts with 1.34 atm of fluorine gas. Using the ideal gas law, we can calculate the moles of each of the reactants.

Therefore, moles of xenon = PV/RT = (0.852 atm x 20 l)/(0.08205 l atm/mole k  x 673 k) 

= 0.309 moles 

(Do remember to convert the temperature to the Kelvin scale.)

Similarly, moles of fluorine = 0.485 moles

Now, using the stoichiometry, we can see that fluorine is in limited quantity since 0.309 moles of xenon will react with 0.618 moles (= 2 x 0.309 moles) of fluorine gas. And hence, the fluorine gas will dictate how much product will be formed.

From the chemical equation, 2 moles of fluorine produces 1 mole of xenon tetrafluoride. And hence the moles of xenon tetrafluoride produced are:

moles of xenon tetrafluoride = 1/2 x 0.485 moles = 0.243 moles

The molecular mass of xenon tetrafluoride is 207.28 gm/moles and hence the total amount of xenon tetrafluoride that is formed is 50.37 gm (= 0.243 moles x 207.28 g/mole).

Hope this helps.

What details does the writer include in paragraphs 8 & 9 to tell you about Jerry's personality?

"Through the Tunnel" is a coming of age story for young Jerry.  Readers are privileged to watch him gain mental and emotional maturity and independence.  Paragraphs 8 and 9 help establish Jerry's desire to gain some independence from his mother.  Jerry loves his mother, but he also desires to establish his own presence in the world.  Instead of being somebody's son, he wants to be his own person.  Paragraph 8 shows that desire.  

He...

"Through the Tunnel" is a coming of age story for young Jerry.  Readers are privileged to watch him gain mental and emotional maturity and independence.  Paragraphs 8 and 9 help establish Jerry's desire to gain some independence from his mother.  Jerry loves his mother, but he also desires to establish his own presence in the world.  Instead of being somebody's son, he wants to be his own person.  Paragraph 8 shows that desire.  

He ran straight into the water and began swimming. He was a good swimmer. He went out fast . . . 

Readers can see there isn't a hesitation in Jerry's movements away from his mother.  He's goes straight for the water and goes in fast and hard.  The paragraph shows that Jerry desires some freedom.  The paragraph also shows that Jerry is confident in his own abilities, and courageous enough to quickly move himself into a foreign and potentially dangerous area.  

. . . a middle region where rocks lay like discolored monsters under the surface, and then he was in the real sea, a warm sea where irregular cold currents from the deep water shocked his limbs.

Paragraph 9 shows that while Jerry does desire to be his own person, he doesn't yet have the courage to break all ties with his mom.  He still likes knowing that she is present in his life as a protector.  

He swam back to the shore, relieved at being sure she was there. . . 

Jerry may want to act tough and independent, but he secretly likes knowing his mom is there to protect and comfort him.  

`xy + y' = 100x` Solve the differential equation

The problem:` xy+y'=100x` is as first order differential equation that we can evaluate by applying variable separable differential equation:

`N(y)y'=M(x)`

`N(y)(dy)/(dx)=M(x)`

`N(y) dy=M(x) dx`

Apply direct integration:` intN(y) dy= int M(x) dx` to solve for the

 general solution of a differential equation.

Applying variable separable differential equation, we get:

`xy+y'=100x`

`y' =100x-xy`

`y'=x(100-y)`

`(y')/(100-y)= x`

Let `y' =(dy)/(dx)` :

`((dy)/(dx))/(100-y)= x`

`(dy)/(100-y)= x dx`

Apply direct integration on both sides:

`int(dy)/(100-y)= int x dx`

...

The problem:` xy+y'=100x` is as first order differential equation that we can evaluate by applying variable separable differential equation:

`N(y)y'=M(x)`

`N(y)(dy)/(dx)=M(x)`

`N(y) dy=M(x) dx`

Apply direct integration:` intN(y) dy= int M(x) dx` to solve for the

 general solution of a differential equation.

Applying variable separable differential equation, we get:

`xy+y'=100x`

`y' =100x-xy`

`y'=x(100-y)`

`(y')/(100-y)= x`

Let `y' =(dy)/(dx)` :

`((dy)/(dx))/(100-y)= x`

`(dy)/(100-y)= x dx`

Apply direct integration on both sides:

`int(dy)/(100-y)= int x dx`

For the left side, we consider u-substitution by letting:

`u= 100-y` then `du = -dy` or -`du=dy.`

The integral becomes:

`int(dy)/(100-y)=int(-du)/(u)`

Applying basic integration formula for logarithm:

`int(-du)/(u)= -ln|u|`

Plug-in `u = 100-y` on "`-ln|u|` " , we get:

`int(dy)/(100-y)=-ln|100-y|`

For the right side, we apply the Power Rule of integration: `int x^n dx = x^(n+1)/(n+1)+C`

 `int x* dx= x^(1+1)/(1+1)+C`

               ` = x^2/2+C`

Combing the results from both sides, we get the general solution of the differential equation as:

`-ln|100-y|= x^2/2+C`

or 

`y =100- e^(-x^2/2-C)`

 `y = 100-Ce^(-x^2/2)

Why could Mr. Wright's name be considered ironic in the story "A Jury of Her Peers"?

John Wright's name is ironic in a number of ways. In fact, the use of the name "Wright", which is a homophone of "right", is used on purpose in the story "A Jury of Her Peers" to delineate exactly how "wrong" (the opposite of "right") things were in the Wright marriage. 

We first come across the ironic use of the Wright name when Mrs. Hale takes a glimpse of the residence.

[...]they had gone up a little hill and could see the Wright place now, and seeing it did not make her feel like talking. It looked very lonesome this cold March morning.

It does not sound like the "right" place to be, after all. 

The most obvious instance of Mr. Wright's name being ironic is when his name, which sounds like "Mr. Right", is juxtaposed to his description. By all means, we could be playful enough with language and say that his real name should, actually, be "Mr. Wrong". In the words of Mrs. Hale, his harshest critic: 

...I don't think a place would be any the cheerfuller for John Wright's bein' in it.

While we learn that most farm men have to make the best out of the elements to make their lives easier, we also see that the women play a very important role in the household, for that same purpose. The women mend clothing, keep the home warm, cook the meals, can foods, make preserves, and maintain the family ready for all the changes in weather. This leads us to conclude that a typical farm marriage consists on two people who strongly depend on one another. We see this dynamic in the marriage of Mr. and Mrs. Hale. 

However, even John Hale says that John Wright seems to not care much about Minnie. He even says that he did not bother to ask Minnie to try to convince her husband on getting a telephone to ease the communication in the farm. 

I said, at the same time, that I didn't know, as what his wife wanted made much difference to John

The best evidence that shows that Mr. Wright's name is ironic, is in his actual influence as a husband. Mrs. Hale says that he was "cold", even though he was not outwardly a "bad" man. However, his attitude said much more than words could. 

He didn't drink, and kept his word as well as most, I guess, and paid his debts. But he was a hard man, Mrs. Peters. Just to pass the time of day with him--." [...]"Like a raw wind that gets to the bone.

This, combined with the effects of John Wright in his wife, shows how terribly the situation must have been at this household to prompt Minnie to snap at some point in time. Minnie used to be a cheerful girl who sang in the choir and wore ribbons and flowers. She was also seemingly happy, overall. However, all of that changed after her marriage. She lived in complete isolation, and at the mercy of this "Mr. Wright". When he wrung the neck of Minnie's only loving companion, the little canary who sang to her, Minnie lost the last of her sanity and killed him. 

Therefore, the name of "Mr. Wright" is, essentially, ironic in every sense of the meaning of the adjective "right", which is its homophone.