Onboard Note

The Natchez Trace is an old trail in Mississippi that was used for the transportation of slaves, and it was also used for trade and commerce. Many of Welty's stories take place along the almost-five-hundred-mile Natchez Trace from Natchez to Nashville. Welty used the Natchez Trace in her 1940 short story "The Worn Path." In this story, an elderly black woman named Phoenix Jackson travels along the Natchez Trace to Natchez, Mississippi to get medicine to cure her grandson from the effects of lye poisoning. In this story, the Natchez Trail stands for hope, the hope the grandmother has of saving her grandson. Another example is "A Still Moment," in which Welty imagines a meeting between Lorenzo Dow (an intolerant preacher during the Second Great Awakening), John Murrell (a bandit), and James Audubon (a naturalist) along the Natchez Trace. The lives of the three men converge as they regard a snowy heron in their path. Welty writes: What each of them had wanted was s...

Subtract: $(2d + 7) - (3d - 1)$ Multiply $-1$ by each term inside the parentheses. $2d+7+1-3d $ Since $2d$ and $-3d$ are like terms, add $-3d$ to $2d$ to get $-d$. $-d+7+1$ Add 1 to 7 to get 8. $-d+8 $ Reorder the polynomial $-d+8$ alphabetically from left to right, starting with the highest order term $8-d$

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 m...

At the end of chapter nine, Gene receives a telegram at Devon from Leper. His telegram only says that: I have escaped and need help. I am at Christmas location. You understand. No need to risk address here. My safety depends on you coming at once. Gene travels to Leper's family home in Vermont to find out what is going on with Leper. On the way there, he convinces himself that Leper, who is in the army, has escaped from spies. When he sees Leper, however, he learns that Leper has deserted from the army. Gene is shocked. He becomes even more shocked and sickened when Leper tells him that the army was making him "psycho," a word that Gene finds harsh and clinical. Leper goes on to inform him that the army was going to give him a Section Eight discharge. He explains to Gene that a Section Eight is for "the psychos, the Funny Farm candidates." Leper believes that this is worse than a dishonorable discharge and that it will bar him forever from any chance of getting ...

It is obvious to us that the ancient Greeks valued hospitality because of how crucial it is in The Odyssey. When Odysseus and his men land on the island where the Cyclopes live, he wants to remain in Polyphemus's cave to see if the Cyclops "might offer gifts": giving a guest-gift was a common practice of those who offered such hospitality to strangers. However, the monster does not make such an offer and, instead, actually eats several of Odysseus's crew. When Odysseus has his remaining men escape, he shouts back, "It was also destined your bad deeds should find you out, audacious wretch, who did not hesitate to eat the guests within your house! For this did Zeus chastise you, Zeus and the other gods." The Greeks believed that Zeus protected travelers, and so offering hospitality became a sort of religious imperative to them; to serve Zeus, you help travelers. Here, Odysseus claims that Zeus allowed Odysseus to blind the Cyclops and escape his island because...

One may argue that there were a few causes of the French Revolution, all of which are connected. The leadership of France was more-or-less nonexistent as King Louis XIV was more concerned with the upkeep of Versailles and his family rather than the well-being of his people. Because of this, and the funding of various wars, France was in extreme debt. Normally when a country is faced with a deficit, taxes must be raised and other expenses must be cut. The problem with France in the 1700s was that the First and Second Estates, the wealthiest members of society, were not required to pay any taxes. This burden then fell on the Third Estate. The Third Estate made up approximately 98% of the population, and 90% were peasants. Due to poor harvests, the price of food skyrocketed and much of the Third Estate could not afford to feed their families. In addition to struggling to feed their families, members of the Third Estate were now faced with the burden of paying higher taxes to save the coun...

Classical mythology has been a fertile source of artistic inspiration in the West for thousands of years. This is not surprising when one considers that Greek and Roman antiquity together provide one of the main foundations of Western civilization. Though the significance of ancient mythology has undergone considerable change across several millennia, it has always retained a certain universality, allowing it to remain relevant to myriad cultural traditions. And although classical mythology may speak to us somewhat differently today than it once did, the fact that it still speaks to us at all is a testament to its enduring relevance within Western culture and civilization. Mythology formed the basis of much of the creative output of both Greek and Roman culture. Myths were a way for Greeks and Romans alike to tell stories about themselves to each other. In no sense were they thought of as being simple fairy-tales or boyish adventure stories, written purely for pleasure. On the contrary...

Simply put, Marcus Garvey was seen as being too radical. Most political leaders within the African American community were committed to a strategy of cooperation with whites. But to Garvey, any form of compromise with the dominant race was anathema. He advocated a complete separation of the races. If African Americans could not physically leave the United States, they could at least establish a separate cultural identity, one built upon a sense of radical difference with white America. In large sections of the African American community, there was also widespread mistrust toward the almost messianic fervor with which Garvey articulated his radical message. Mainstream African American activists were focused on more practical considerations, such as dismantling the Jim Crow laws. To them, Garvey's political ideology was wholly unrealistic, unable to deliver tangible benefits to African Americans desperate for legal and political equality.

Physical beauty is presented in the book as an unattainable ideal established by white society. Pecola spends her whole time trying to live up to this ideal in the hope that it will make her more accepted. This is her way of dealing with racial prejudice as well as the feelings of low self-esteem induced by years of physical and sexual abuse. The fictitious blue eyes she obsessively stares at in the mirror symbolize an ultimately futile quest for an ideal of beauty that's been imposed upon her by society. For Pecola, this chimera initially offers a brief respite from the horrors of daily life. In due course, however, this symbol will come to provide her with a permanent escape from the everyday world, precipitating her descent into insanity. On this reading, the pursuit of idealized beauty is a metaphor for the self-loathing which afflicts too many African Americans in a deeply racist and prejudiced society, inducing a kind of collective madness. Physical beauty is a key theme in T...

Given: f(x)=x^3-6x^2+15 Find the critical values for x by setting the first derivative of the function equal to zero and solving for the x value(s). f'(x)=3x^2-12x=0 3x(x-4)=0 x=0,x=4 The critical value for the first derivative are x=0 and x=4. If f'(x)>0, the function is increasing in the interval. If f'(x) Choose a value for x that is less than 0. f'(-1)=15 Since f'(-1)>0 the graph of the function is increasing in the interval (-oo,0). Choose a value for x that is between 0 and 4. f'(1)=-9 Since f'(1) (0, 4). Choose a value for x that is greater than 4. f'(5)=15 Since f'(5)>0 the graph of the function is increasing in the interval (4, oo). Because the function changed direction from increasing to decreasing there will be a relative maximum at x=0. The relative maximum occurs at (0, 15). Also, because the function changed direction from decreasing to increasing there will be a relative minimum at x=4. The relative minimum occurs at (4, -17)...

Find the determinant of the matrix $\displaystyle A = \left| \begin{array}{cccc} 2 & -1 & 6 & 4 \\ 7 & 2 & -2 & 5 \\ 4 & -2 & 10 & 8 \\ 6 & 1 & 1 & 4 \end{array} \right|$, using row/column operations. If we add 4 times column 2 to column 4, we get $\displaystyle \left| \begin{array}{cccc} 2 & -1 & 6 & 0 \\ 7 & 2 & -2 & 13 \\ 4 & -2 & 10 & 0 \\ 6 & 1 & 1 & 8 \end{array} \right|$ So, $\displaystyle \det (A) = 13 \left| \begin{array}{ccc} 2 & -1 & 6 \\ 4 & -2 & 10 \\ 6 & 1 & 1 \end{array} \right| - 8 \left| \begin{array}{ccc} 2 & -1 & 6 \\ 7 & 2 & -2 \\ 4 & -2 & 10 \end{array} \right|$ Now, we add $\displaystyle \frac{-1}{2}$ times row 2 to row 1 in the first matrix and add 2 times column 2 to column 1. This gives us $ \begin{equation} \begin{aligned} \det (A) =& 13 \left| \begin{array}{ccc} 0 & 0 & 1 \\ 4 & -2 & 10 \\ 6 ...

The two most prominent themes of "The Village Saint" are the social façades that people wear and power and control. The author lays out the first theme in the first few lines of the text. The opening of the story says, "People were never fooled by façades. They would look quietly and humorously behind the façade at the real person . . . and not their heads in a certain way until destiny caught up with the decrepit one" (Head 285). The main subject of the story, Mma-Mompati is thought to be perfect by her village for 26 years. She is married to an important man and she is known as a great lady of the town. She prays for everyone, arranges all the funerals, visits the sick, and is generally thought to be the town saint. Even after her husband leaves her, the village continues to think well of her due to her speech in the divorce court about how greatly she has been wronged. However, the narrator tells the reader that her care and attention was really only the "pr...

In “The Necklace,” Madame Loisel is a woman whose beauty and charm seem to surpass her social class. Her marriage to a clerk does not allow her to have the nicer things she dreams about and feels she is entitled to have. She is quite angry about her situation. One day, her husband brings home an invitation to a fancy affair and presents it to his wife in the hopes that she will be excited. To his dismay, she is not happy about the invitation. Instead, she throws it on the table. Surprised about his wife's reaction, he explains what a great opportunity it would be for them to attend. She begins to cry and explains to her husband that he should give the invitation to someone whose wife would have something more appropriate to wear. She is upset because she feels she has nothing suitable to wear.

Both Elie and Shlomo Wiesel endured a multitude of unspeakable horrors, and comparing one person's courage to that of another within the framework of the Holocaust seems a bit unfair. I will list a few examples below in which Elie demonstrates courage, as well as a few examples in which Shlomo demonstrates courage, and this should be of aid as you undertake the task of comparing the two men. Examples in which Elie demonstrates courage: Chooses to undertake death march from Buna to Gleiwitz with an injured foot Risks his life to sneak his father onto the right train (toward safety) in Gleiwitz Protects his father's food rations when Shlomo is dying of dysentery Survives the Holocaust and writes a memoir of his painful story Examples in which Shlomo demonstrates courage: Instructs his son in survival and offers encouraging sentiments Gives his knife and spoon (the only family property) to Elie when he is chosen for the death group in Buna Endures brutal death march from Buna to G...

Federalism is based on the idea that power should be shared between the center and the periphery. The thinking behind federalism is that if power is more widely dispersed it makes it harder for some kind of tyranny to develop. This was certainly the rationale behind the establishment of federalism in America, where the colonists had just fought a long, bitter war against what they perceived to be a tyrannical British government. In the American context, federalism involves a share in power between the federal government in Washington D.C. and the governments of the fifty states. Initially, ultimate political sovereignty resided with the states as the early American colonists were loath to contemplate having a strong centralized government after their negative experience of British rule. In due course, however, this proved to be an unworkable arrangement, and ever since America prevailed in the Revolutionary War, the balance of power between the federal government and the states has shi...

Hamlet learns at the end of Act 1 that his father was murdered by his uncle when his father's ghost asks Hamlet to avenge the murder. Hamlet does not actually act upon the command until Act 5, deciding in the meantime to first "put an antic disposition on," and then to test Claudius to assure he is guilty of the crime. Hamlet takes the time to observe everyone's behavior at the court and to establish that Claudius is indeed guilty because he is not impulsive—he is a thinker who considers the consequences and effects of his actions. In Act 2, Hamlet says, "The spirit that I have seen/May be the devil: and the devil hath power/To assume a pleasing shape." Here we have the first reason Hamlet delays and instead attempts to assess Claudius's guilt. Hamlet understands that his father's ghost may not actually be his father's ghost but instead the devil or some other demon attempting to lure him into a sinful action. Rather than accept the ghost's w...

In Chinua Achebe's short story, "Marriage is a Private Affair," when Nnaemeka's father, Okeke, receives the wedding photo from his son, he rips the picture in half. After ripping out the image of Nnaemeka's bride, Nene, he sends the photo back to his son with a terse message: It amazes me that you could be so unfeeling as to send me your wedding picture. I would have sent it back. But on further thought I decided just to cut off your wife and send it back to you because I have nothing to do with her. How I wish that I had nothing to do with you either (para 54). Unfortunately for Nnaemeka, Okeke had previously arranged a marriage for him as is the Ibo tradition. It was unheard of for a son to find his own bride, much less a bride from a different tribe who is a school teacher. When Nnaemeka rebels against the planned marriage and weds Nene anyway, his father is overcome with grief. Eight years later, Nene sends the father a letter imploring him to meet his two gra...

To simplify the given complex fraction (16/(x-2))/(4/(x+1)+6/x) , we may look for the LCD or least common denominator. The denominators are (x-2) , x , and (x+1) . All are distinct factors. Thus, we get the LCD by getting the product of the distinct factors from denominator side of each term. LCD =(x-2)*x* (x+1) Maintain the factored form of the LCD for easier cancellation of common factors on each term. Multiply each term by the LCD=(x-2)*x* (x+1). (16/(x-2)*(x-2)*x* (x+1))/(4/(x+1)*(x-2)*x* (x+1)+6/x*(x-2)*x* (x+1)) (16*x* (x+1))/(4*(x-2)*x +6*(x-2)* (x+1)) Apply distributive property. (16x*(x+1))/((4x-8)*x +(6x-12)* (x+1)) (16x^2+16x)/((4x^2-8x) +(6x^2+6x-12x-12)) Combine possible like terms. (16x^2+16x)/((4x^2-8x) +(6x^2-6x-12)) (16x^2+16x)/(4x^2-8x+6x^2-6x-12) (16x^2+16x)/(10x^2-14x-12) Factor out 2 from each side. (2(8x^2+8x))/(2(5x^2-7x-6)) Cancel out common factor 2 . (8x^2+8x)/(5x^2-7x-6)  The complex fraction (16/(x-2))/(4/(x+1)+6/x) simplifies to (8x^2+8x)/(5x^2-7x-6) .

Arthur Miller's "authorial intrusion" into the play's action provides background information on the characters and events that precede the spring of 1692 when the play begins. Miller's commentary enables readers to understand the beliefs and customs of the Puritans who populated Salem and its adjacent communities. Otherwise, modern readers might doubt that many people would believe that witchcraft and Satan's presence was a credible and constant threat to their lives. Moreover, because of Miller's commentary we understand that there are tensions among Salem's denizens and that politics are at work in their community. The church wants to maintain theocratic authority, but not everyone respects the local minister. For instance, some, like the Nurse family, would like to secede from Salem and create their own religious Utopia at Topsfield. The background Miller provides deepens readers' understanding of the characters and conflicts.

Indefinite integral 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 xarcsec(x^2+1) dx, it has a integrand in a form of inverse secant function. The integral resembles one of the formulas from the integration as : int arcsec (u/a)du = u*arcsin(u/a) +-aln(u+sqrt(u^2-a^2))+C . where we use: (+) if 0ltarcsec (u/a)ltpi/2 (-) if pi/2ltarcsec(u/a)ltpi Selecting the sign between (+) and (-) will be crucial when solving for definite integral with given boundary values [a,b] . For easier comparison, we may apply u-substitution by letting: u =x^2+1 then du = 2x dx or (du)/2 Plug-in the values int xarcsec(x^2+1) dx , we get: int xarcsec(x^2+1) dx=int arcsec(x^2+1) * xdx = int arcsec(u) * (du)/2 Apply the basic properties of integration: int c*f(x) dx= c int ...

Ruskin said, "For all books are divisible into two classes, the books of the hour, and the books of all time." By this, he meant that some books stand the test of time and are classics, while other books are just of that moment. In Fahrenheit 451, the books that Montag and the other firemen burn are books of all time, as their society has not produced books of the hour in some time. Montag recites to Clarisse, "Monday burn Millay, Wednesday Whitman, Friday Faulkner, burn 'em to ashes." These authors—Millay, Whitman, and Faulkner—wrote books of all time, as their works are classics that have stood the test of time. Later in the book, Montag meets a society of people that have committed books to memory, and these books are also books of all time, including Swift, Dickens, and works by great thinkers such as Einstein, Lincoln, Gandhi, Confucius, and Darwin. This secret society has thought it worthwhile only to memorize books of all time, as these are the classics t...

Mary Shelley's novel Frankenstein is a frame narrative. This structure gives the reader the chance to learn about the nameless creature from his own point of view. He explains to his creator that he has learned to speak and read by watching the DeLacey family and by reading Milton's Paradise Lost. By being able to learn about his wants, desires, and dreams from his perspective, the reader develops sympathy for the monster. Hollywood tends to omit not only the creature's ability to communicate but also any aspects of humanity he possesses. The novel is timeless as it offers questions about creation, science, and the quest for knowledge that still exist two hundred years after its original publication. Most film adaptations try to fit more into the horror film genre, and so they portray the creature as more of a monster. To fill the role of a scary movie, their monster is usually set only on revenge and lacking any ability to explain the reasons behind his anger. Without the ...

An installment loan is technically any loan that is repaid in several installments rather than in a lump sum. The reasons that people take out installment loans are twofold: first, they may not have adequate cash on hand to buy the asset; second, they may have investments that are more profitable than the interest rate on the loan. If one will receive, for example, a 10 percent return on an investment and can obtain a loan with a 5 percent interest rate, taking out a loan and placing cash in the investment is a financially prudent move.  Perhaps the most common type of installment loan is a home mortgage. There are several reasons why people take out mortgages to buy homes. First, they may not wish to wait to buy a home until they have saved up the full purchase price. Second, it often makes financial sense to buy rather than rent, since mortgage payments build equity and provide tax deductions, while money spent on renting does not do so. Lifestyle factors are also important, as one h...

This question is a bit misleading.  It makes it seem like the Waknuk people stood Sophie up and had her executed.  That's not quite how it happened.  Earlier in the novel, Sophie escapes the Waknuk society by going to the Fringes.  Sophie must escape because she has six toes.  That makes her a Deviant.  The Waknuks are basically okay with Sophie escaping and removing her DNA from the Waknuk gene pool; however, that is not the case when David and his fellow telepaths escape.  The Waknuk people, including David's father, begin hunting David down.  David and his group then get captured by the Fringes, which ends up leading the Waknuks to the Fringes.  A battle soon follows and "the spider-man" shoots Joseph Strorm in the chest.  Sophie is standing next to the spider-man at this point.   Suddenly he stiffened. His bow came up like a flash, bent to its full. He loosed. The shaft took my father in the left of his chest. He and Sophie then try to quickly flee the battle.  Wh...

An interest group plays an important role in our democratic system. An interest group is a group of people who share a common view on a particular issue. They will hire lobbyists who will meet with elected officials on the local, state, and/or national level to share the viewpoint of their members on a particular issue. They will try to encourage and/or pressure the elected official to vote they way the group wants them to vote. The lobbyists might also testify at hearings to share the viewpoint of the group. There are several types of interest groups. There are professional interest groups such as the American Bar Association or the National Education Association. There are public interest groups such as the Sierra Club, which works to advocate for issues that will help protect the environment. This group is working for what they believe is in the best interests of the public. There are also business interest groups that work to advocate for the interests of various businesses and ind...

Angela Shepard is Bryon's ex-girlfriend. She is known as a beautiful, tough girl who is attracted to drama. In Chapter 3, Ponyboy is attacked during a school dance, and Mark is hit in the head with a bottle while trying to defend him. When Bryon sees Angela talking to a kid in handcuffs, he realizes Angela influenced the kid to pick a fight with Ponyboy. Although it is not directly stated, Angela Shepard feels hurt and upset at Ponyboy for ignoring her advances. Later in the novel, Mark and Bryon run into Angela, who has been drinking. Angela mentions that she misses Bryon and hates her life. She regrets getting married and doesn't like the fact that her husband is jobless. She is upset that her brothers are in jail, and her father is an alcoholic. Despite her tough exterior, Angela is very disappointed with how her life is turning out.

One way that this tale connects with contemporary reality is through its emphasis on the importance of creativity. While the senior potter has achieved mastery of his art, he has also gotten stuck in a fixed attitude toward the work. The joy of creating, which comes from infusing new energy into the process and from innovating, has largely left him. The freshness and innocence that the boy brings to ceramics is necessary, but not sufficient to enable him to make the kinds of beautiful things that the potter excels in. Whatever the art, practice and discipline are also needed to succeed. There is no substitute for his own creative spirit, but he needs a mentor and knowledge of the whole process. Furthermore, the idea of getting past a setback is emphasized. The boy's journey brings the tragic loss of almost all the pots. But the boy still has the last shard, which contains all important essences of the potter's gifts. The boy had to follow all the steps in his journey. A Single ...

Direct comparison test is applicable when suma_n and sumb_n are both positive series for all n such that a_n If sumb_n converges then suma_n converges If suma_n diverges then sumb_n diverges Let a_n=3^n/2^n=(3/2)^n and b_n=3^n/(2^n-1) 3^n/(2^n-1)>3^n/2^n>0 for n>=1 sum_(n=1)^oo(3/2)^n is a geometric series with ratio r=3/2>1 A geometric series with |r|>=1 diverges. The geometric series sum_(n=1)^oo(3/2)^n diverges and so the series sum_(n=1)^oo3^n/(2^n-1) diverges as well, by the direct comparison test.

The "punch and parry" technique of dog whistle politics involves three distinct steps. First, in the punch, the practitioner of dog whistle politics injects or punches race into the political conversation by using references to "culture, behavior, and class" (page 130). Then, in the parry stage, the same person parries claims of racism by stating that there was no overt use of racial epithets or references to the biological basis of race. Finally, there is a kick phase in which the practitioner of dog whistle politics kicks up the racial debate by claiming that the person who has charged the practitioner with racism is the true racist. In other words, the person who has used racist appeals claims that his or her critics are the real racists because they have injected race into the conversation while it never before existed.  The example the author uses of this technique is the cartoon of Obama that had a picture of him as a donkey alongside watermelon and fried chic...

The problem: 2xy'-ln(x^2)=0 is as first order ordinary 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. Then, 2xy'-ln(x^2)=0 will be rearrange in to 2xy'= ln(x^2) Let y' = (dy)/(dx) , we get: 2x(dy)/(dx)= ln(x^2) or2x(dy)= ln(x^2)(dx) Divide both sides by x to express in a form of N(y) dy=M(x) dx : (2xdy)/x= (ln(x^2)dx)/x 2dy= (ln(x^2)dx)/x Applying direct integration, we will have: int 2dy= int (ln(x^2)dx)/x For the left side, recall int dy = y then int 2dy = 2y For the right side, we let u =x^2 then du =2x dx or dx=(du)/(2x) . int (ln(x^2))/xdx=int (ln(u))/x*(du)/(2x) =int (ln(u)du)/(2x^2) =int (ln(u)du)/(2u) =1/2 int ln(u)/u du Let v=ln(u) then dv = 1/udu ,we get: 1/2 int ln(u)/u du=1/2 int v* d...

Juliet is 13 years old. We know this because it is mentioned at several points in the play. For example, here is an exchange between Lady Capulet and the nurse: LADY CAPULET This is the matter.—Nurse, give leave awhile, We must talk in secret.—Nurse, come back again. I have remembered me. Thou’s hear our counsel. Thou know’st my daughter’s of a pretty age.   NURSE Faith, I can tell her age unto an hour.   LADY CAPULET She’s not fourteen.   NURSE I’ll lay fourteen of my teeth—and yet, to my teen be it spoken, I have but four—she is not fourteen. How long is it now to Lammastide?   LADY CAPULET A fortnight and odd days.   Lammas was an ancient festival that celebrated the annual wheat harvest. There is a clear link here between the ripeness of the harvest and Juliet's being on the cusp of womanhood.   It is interesting to note that in the original poem on which Shakespeare based his play Juliet is actually sixteen. It is not entirely clear what Shakespeare's motive was in making ...

The first myth that Baldwin explodes is that America's greatest threat is from Russia.  He declares that America's greatest threats are domestic, and that specifically, any attempts to right the wrongs of the denial of civil rights will be forcefully resisted by the status quo in the country.   A paradox that Baldwin confronts is that America likes to think of itself as a country that values independent thought and free speech; but when people become a little too free in their thinking and speech, they become inconvenient to have around. Baldwin observes, in this speech to a group of teachers, that American schools exist to "perpetuate the aims of society." Baldwin criticizes a society that claims to value "liberty and justice for all" but perpetuates a myth about black people: their value to society is proven only by their devotion to white people. Baldwin goes on to say that it is a myth that the "Negro revolution" is upsetting the country; in hi...

Find the indefinite integral $\displaystyle \int \frac{\displaystyle \cos \left( \frac{\pi}{x} \right)}{x^2} dx$ If we let $\displaystyle u = \frac{\pi}{x}$, then $\displaystyle du = \frac{- \pi}{x^2} dx$, so $\displaystyle \frac{1}{x^2} dx = \frac{-1}{\pi} du$. And $ \begin{equation} \begin{aligned} \int \frac{\displaystyle \cos \left( \frac{\pi}{x} \right)}{x^2} dx =& \int \cos \left( \frac{\pi}{x} \right) \frac{1}{x^2} dx \\ \\ \int \frac{\displaystyle \cos \left( \frac{\pi}{x} \right)}{x^2} dx =& \int \cos u \frac{-du}{\pi} \\ \\ \int \frac{\displaystyle \cos \left( \frac{\pi}{x} \right)}{x^2} dx =& \frac{-1}{\pi} \int \cos u du \\ \\ \int \frac{\displaystyle \cos \left( \frac{\pi}{x} \right)}{x^2} dx =& \frac{-1}{\pi} \sin u + C \\ \\ \int \frac{\displaystyle \cos \left( \frac{\pi}{x} \right)}{x^2} dx =& \frac{-1}{\pi} \sin \left( \frac{\pi}{x} \right) + C \end{aligned} \end{equation} $

 For the given problem: y = x^(2/x) , we apply the natural logarithm on both sides: ln(y) =ln(x^(2/x)) Apply the natural logarithm property: ln(x^n) = n*ln(x) . ln(y) = (2/x) *ln(x) Apply chain rule  on the left side since y is is function of x. d/dx(ln(y))= 1/y *y'   Apply product rule: d/(dx) (u*v) = u'*v + v' *u on the right side: Let u=2/x then u' = -2/x^2     v =ln(x) then v' = 1/x d/(dx) ((2/x) *ln(x)) =d/(dx) ((2/x)) *ln(x) +(2/x) *d/(dx) (ln(x))                                 = (-2/x^2)*ln(x) + (2/x)(1/x)                               =(-2)/(x^2ln(x))+ 2/x^2                           = (-2ln(x)+2)/x^2   The derivative of ln(y) = (2/x) *ln(x) becomes : 1/y*y'=(-2ln(x)+2)/x^2  Isolate y' by multiplying both sides by (y): y* (1/y*y')= ((-2ln(x)+2)/x^2)*y y' =((-2ln(x)+2)*y)/x^2 Plug-in y = x^(2/x)  on the right side: y' =((-2ln(x)+2)*x^(2/x))/x^2   Or y' =((-2ln(x)+2)*x^(2/x))*x^(-2)    y' =(-2ln(x)+2)*x^(2/x-2)    y' =(-2l...

This question is asking about an event that happens in chapter 44; however, the answer is found in chapter 45. At the end of chapter 44, Piper runs up to Maniac and Mars Bar and begs them to come help. Piper and Russell had been playing "Bombs Away," but their game took a turn for the worse when Russell realized exactly how high above the river he really was. He's up there frozen in fear. And that's where Russell was now, out on the middle of the trestle, high over the water, frozen in terror, not even a railing to cling to, responding neither to Piper's cries nor to the red-and-yellow P & W trolley, which also occupied the trestle, idling and tooting about twenty feet away. Piper is hoping that fearless Maniac Magee can rescue Russell; however, Maniac turns and walks away. Chapter 45 begins with Mars Bar seeking out Maniac. Mars Bar wants to know why Maniac didn't help Russell. Maniac isn't keen to talk about it, but he eventually explains why he coul...

Gary Paulsen's novel Hatchet is a story of survival. Thirteen-year-old Brian Robeson, traveling to see his father,  is stranded in the Minnesota woods when the pilot of the plane dies from a heart attack. Brian is left with no way to communicate, and very little hope for rescue. He must learn to survive on his own, with just a small hatchet and the clothes he is wearing, along with a few token items in his pockets. Brian tries to create fire by rubbing two sticks together in chapter six, but he is unsuccessful. In chapter eight, he realizes that his hatchet may be the answer to creating fire.  "The hatchet was the answer. That's what his father and Terry had been trying to tell him. Somehow he could get fire from the hatchet. The sparks would make fire. Brian went back into the shelter and studied the wall. It was some form of chalky granite, or a sandstone, but imbedded in it were large pieces of a darker stone, a harder and darker stone. It only took him a moment to find...

The old man in Purgatory has mixed feelings towards his mother. On the one hand, he thinks she made a foolish mistake in marrying his father, a complete scoundrel and ne'er do well. She came from a noble family, yet defied her parents in marrying beneath her class. As soon as her husband got his feet under the table, so to speak, he set about ruining the old house and his wife's good name with his alcoholism and improvidence. Indeed, he it was who burned down the stately home in a fit of drunken rage. At the same time, the old man sees all the noble aspects of his character as deriving from his mother and her side of the family. Although the charred shell of what was once a beautiful stately home depresses him, it also reminds him of the good times, when the house was filled with magistrates, colonels, Members of Parliament, captains and Governors, and all manner of social worthies. His mother is responsible for those wonderful memories, for which the old man is immensely grate...

The political divide between the North and the South in the election of 1860 can best be described by looking at the issue of slavery. In the election of 1860, the Democratic Party split over the issue of slavery. The Northern Democrats nominated Stephen Douglas. Because of the stance Douglas took regarding slavery in the Lincoln-Douglas debates in 1858, the Southern Democrats couldn’t support his nomination. The Southern Democrats believed Douglas wanted to end slavery based on his comments in those debates. Therefore, the Southern Democrats nominated John C. Breckinridge as their candidate. The Republicans nominated Abraham Lincoln as their candidate. While Lincoln was against slavery, he wasn’t prepared to end it where it already existed. In the election of 1860, Lincoln won. However, he didn’t win any southern states. Slavery clearly exemplified the political divide that existed between the North and the South in the election of 1860. https://www.thoughtco.com/election-of-1860-abra...

In Samuel Beckett's absurdist classic Waiting for Godot, the title character of Godot never appears. Vladimir and Estragon, the two main characters, wait for Godot throughout the duration of the play, and the audience waits alongside them for a situation that never materializes. The title of the play is interesting because it tells the audience exactly what to expect from their experience as an audience member, in a literal sense. In traditional works of literature that contain a developed and coherent plot line, the act of waiting implies an arrival of some sort; in the theatre of the absurd, such an arrival is not at all a guarantee. Audience members not only witness the futility of waiting, they also experience the emptiness of such unrewarded anticipation. Scholars have debated the meaning of the name "Godot," and many believe it to denote God. If this meaning is true, then the act of waiting for Godot can be compared to the act of waiting to see God, an act of faith ...

Chivalry is generally understood as a strict moral, social and religious code that was followed by knights and noblemen in the middle ages. In the medieval poem Sir Gawain and the Green Knight, we see the chivalry of Sir Gawain put to the test. First the Green Knight challenges him to cut off the Knight's head, then he tells Gawain to come to him in a year's time when the Knight will return the blow. Gawain accepts both challenges, and during his journey to meet with the Knight, is further tested when the wife of the lord who shelters him tries to seduce him. The final test is whether he can yield to the Green Knight's axe without flinching, in which he succeeds. In Ingmar Bergman's film The Seventh Seal, ideas around chivalry are less explicit. Antonius Block challenges Death to a game of chess in order to delay his demise, not because he is afraid of dying, but because he wishes to accomplish one meaningful act. Block spends the rest of the film searching for this mea...

Starch is an organic macro-molecule consisting of carbon, hydrogen and oxygen atoms. It is a polysaccharide consisting exclusively of glucose molecules. When it is digested by the enzyme amylase, it breaks down into its monomer building blocks which are glucose molecules. Glucose is considered to be a simple sugar which can be transported by the bloodstream to cells which require the energy stored within its chemical bonds to perform cellular work. A polysaccharide like starch can have hundreds or even thousands of glucose sub-units held together by glycosidic linkages. Plants produce starch as a way to store energy until it is needed. Animals can consume plants and the starch can be chemically digested making the glucose molecules available for the animal's energy needs.  In conclusion, starch is broken down chemically by the enzyme amylase to simple glucose molecules. https://www.britannica.com/science/starch

Rawls explains this in the introduction to A Theory of Justice. He writes that "the propriety of the name 'justice as fairness'" is that this phrase "conveys the idea that the principles of justice are agreed to in an initial situation that is fair." This is crucial to the thought experiment that lies behind his argument in the book. Essentially, Rawls asks the following question: what kind of society would people establish if they were in the state of nature and behind a "veil of ignorance" regarding their social standing in this society? Rawls argues that in this hypothetical situation, the only rational choice for an individual would be to choose a society that provides for equal rights and opportunities for all people. He even suggests that such a society would feature a government with a robust social safety net because a person could never tell if they might be one of the people that would need such assistance. So by this hypothetical choice ...

When Marlow begins to speak, we realize that the story is being told as a story within a story. We have two narrators: the first, an unnamed sailor which is aboard the Nellie with Marlow, and the second, Marlow himself. This type of technique is called a frame narrative. Many authors have used this technique, as it provides a shift of perspective and allows the reader to gain a better perception and understanding of the story. The first narrator is also used as means of setting up the themes of the story without diving directly into the narrative. The first narrator also takes on our position as audience, whereas Marlow becomes the primary narrator later on. Marlow himself is also a narrative device which allows Conrad to tell the story from a different perspective. Through Marlow, Conrad recounts events and observes and analyzes the other characters. Marlow is attempting to tell Kurtz's story just as much as his own. He is an unreliable first person narrator, as he is unable to fu...

I'm assuming the poem you're referring to is "Lines Written in Early Spring." It's a well-known poem by Wordsworth, and it fits the description in your question. If that's the case, the poet actually describes seeing two kinds of flowers in the bower: primrose and periwinkle. Here's the full quote: "Through primrose tufts, in that green bower, / The periwinkle trailed its wreaths." (9–10) Broadly speaking, "Lines Written in Early Spring" is a poem that laments the gap between man and the natural world. Like many Romantic writers, Wordsworth describes a world in which humanity has deserted its innate and spiritual relationship with nature as a result of industrialization, urbanization, etc. The primrose and periwinkle are therefore symbolic of an innocent and happier state of existence; Wordsworth talks, for instance, about the flowers "enjoy[ing] the air [they] breathe." (11) On that note, it's perhaps significant that the...

According to Bryant's "Thanatopsis," life and death involve natural processes that are not to be feared or dreaded. In fact, the uncertainties many people associate with death, for example, need not be a concern, according to the speaker who denies the possibility that dying is lonely. Leaving life only means connecting with a different kind of family in the form of "brother to the insensible rock" and "the patriarchs of the infant world...all in one mighty sepulchre." At the end of the poem, the speaker insists that when the time comes, metaphors that suit death the most are not foreboding places like a "dungeon," but comfortable ones, like a chamber or room where "drapery" folds around an individual, inviting him or her to enjoy "pleasant dreams." This friendly and inviting depiction of death communicates to the reader that death is a natural and comfortable end to life, one that suggests restfulness rather than pain and...

Readers can find the answer to this question in the book's first section about Risa.  Risa is a "ward of the state," and she lives in an orphanage called a "StaHo."  She has lived in this kind of environment for her entire life.  She is fed and educated here, and the hope is that some family will want to adopt her.  That has not happened yet, and Risa is now fifteen years old.  Any StaHo is obligated to take in and care for wards of the state, but they are only obligated to do this through the child's thirteenth birthday.  After that, the child's fate is much less secure.  The headmaster of Risa's orphanage tells her that she is going to be unwound in order to make more room for the newly arriving kids.  He tells Risa that they have to take in the new kids and that there is not enough money to care for all of the older kids like her.  They have to cut 5% of the population.   "The money only stretches so far," says the headmaster. "Educ...

Many people were horrified by values the hippies embraced. This was seen through the rejection of the Vietnam war, which seemed unpatriotic, the rejection of materialism, which seemed lazy, the rejection of marriage, which seemed immoral, and the embrace of drug culture, which seemed destructive. Hippies also supported (eventually) equal rights for groups like women and gays, which seemed subversive to the social order. Many Americans were unsympathetic to hippie ideals for building a better world. Because the movement seemed to be growing in strength and numbers, and was also associated with socialism, it created fear. Fear then created a backlash that led to people coming together to forcefully resist change. Richard Nixon and Spiro Agnew were able to exploit this fear in the 1968 and 1972 presidential elections by addressing a "silent majority" of Americans who, they said, stood for patriotism and traditional values. They won two elections in part through appealing to the ...

In Greek mythology, the phoenix is a large bird with the ability to be reborn. To do this, the phoenix builds a flammable nest called a pyre and allows its body to be consumed by the flames. After three days in the fire, the newly-reborn phoenix emerges from the ashes of the flames. In Fahrenheit 451, this mythical bird is used by Bradbury as a symbol. Firstly, it is used as a symbol of censorship. You will notice that Montag (and the other firemen) wear the image of a phoenix on the sleeve of their shirts. In this context, the phoenix represents the rebirth of this society, after censorship and book-burning were introduced. In addition, the image of the phoenix acts as an allusion to the fire, which is used by Montag and his colleagues to burn illegal books. At the end of the novel, the phoenix takes on a new symbolic meaning, as explained by Granger: There was a silly damn bird called a phoenix back before Christ, every few hundred years he built a pyre and burnt himself up. He must ...

In Bradbury's dystopian society, the government censors literature in order to maintain stability and create a "happy" populace, which is utterly consumed by mindless entertainment and lacks emotional depth. The censorship of literature results in a violent and superficial society which lacks the ability to analyze its dangerous actions, eventually leading to its destruction at the end of the novel. Montag's wife embodies the superficial, ignorant citizens of Bradbury's dystopian society, and she attempts to commit suicide. Her callous, shallow personality ruins her marriage and she fails to live a fulfilling life. Faber argues that without literature or other forms of media that authentically replicate and examine humanity, people will fail to have meaningful relationships, experience peace of mind, or find the motivation to positively alter their society for the better. Granger also argues that without literature, people will have no record of the past and conti...

There is an argument to be made that it is actually fate that directs the events which occur. The Chorus, of course, initially tells us that this "pair of star-crossed lovers [will] take their life" (Prologue, lines 5–6). In other words, the destinies of Romeo and Juliet were decided even before their births; they could not have done anything but fulfill them. Later, Romeo's friends try to convince him to go to the Capulets' party with them. He really doesn't want to go and argues vehemently against it. Finally, however, he relents, saying, . . . My mind misgives Some consequence yet hanging in the starsShall bitterly begin his fearful date With this night's revels, and expire the termOf a despised life closed in my breastBy some vile forfeit of untimely death.But he that hath the steerage of my courseDirect my sail. (1.4.113-120) Now, Romeo admits that he feels fate is directing his actions. Again, someone refers to the "stars" and the influence the...

In criminal justice, recidivism is when a formerly incarcerated person repeats a criminal act and ends up incarcerated again. Incarcerated people with diagnosed mental illnesses have higher rates of recidivism than those without mental illnesses. Some issues to consider are the following: What are the static predictors of recidivism? There are two types of data that may predict repeated criminal behavior. One type is static data. Static data is information about a person that do not change over time. Among sociologists, criminologists, and policy groups, there seems to be agreement that certain static factors can help predict whether a person suffering a mental illness may engage in recidivism. Some of these factors are included in the following: past criminal history, age, gender, and early childhood experiences (such as growing up in a single-parent household). A second type of data is called dynamic data. Dynamic data is information about a person that can change over time. This inc...

The answer to your question is that Achebe uses both diction (word choice) and characterization (both indirect and direct) to convey Obi's feelings about Nigeria in No Longer at Ease. At the beginning of the novel, Obi is enamored with his homeland and speaks about it very idealistically. The best example of this is Obi's own words within his poetry. Through Obi's own words (and Achebe's use of diction here) the reader learns about Obi's feelings quite vividly. This is Achebe's use of indirect characterization in that the narrator does not tell us directly about Achebe's feelings; instead, we learn about these feelings of idealism through Obi's own poetic words. Achebe also uses direct characterization to convey Obi's vivid idealism. There are times when Achebe tells us directly how Obi is feeling. Obi [longed] to be back in Umuofia. This feeling was sometimes so strong that he found himself feeling ashamed of studying English for his degree. In this...

A family of functions is given. In parts (a) and (b) graph all the given members of the family in the viewing rectangle indicated. In part (c) state the conclusions that you can make from your graphs. $f(x) = (x - c)^2$ a.) $ c = 0, 1, 2, 3; [-5, 5]$ by $[-10, 10]$ b.) $ c = 0, -1, -4, -6; [-5, 5]$ by $[-10, 10]$ c.) How does the value of $c$ affect the graph? As the value of $c$ increases positively, the function is shifted to the right. On the other hand, as the value of $c$ increases negatively, the function is shifted to the left.

The fat man at first appears to be an unapologetic jingoist and militarist. He ventures to suggest that young men don't really belong to their parents; they belong to the nation. That being the case, it makes no sense to cry when they fall in battle. Young men go to war out of love for their country—a higher love than the love they have for their parents. If they should die, then that's regrettable, but at least they died in a noble cause, and what's more, they will be spared the tedium and chronic disappointment of civilian life. If the fat man's own son hadn't himself been killed at the front, we might accuse him of callousness borne of ignorance. But the man's own experience of loss informs his ostensibly shocking opinions. Stressing the supposedly glorious nature of war and young men's sacrifice is a way for him to deal with the emotional pain that must be eating him away inside. If he convinces himself that his son died for a noble cause, then that make...

The traveler, who sees the shattered statue of the once great king Ozymandias lying on the desert, says that the passions the king once felt still survive because the sculptor who made the statue captured them in the carved face of Ozymandias. Ozymandias's passions can be discerned from his frown, / And wrinkled lip, and sneer of cold command The traveler leaves it up to the reader to decide what passions a frown, a wrinkled lip, and a sneer communicate, but certainly Ozymandias does not come across as a happy, friendly ruler. One might imagine instead an angry dictator used to belittling and bullying other people and being obeyed. This impression is reinforced by the statement Ozymandias has carved on his statue, warning the people who see it and his mighty kingdom ("works") to feel despair, presumably at how puny and weak they are in contrast to his greatness. Of course, the irony or contradiction is that for all that he is trying to generate terror and awe at his grea...

Given to solve , lim_(x->0^(+)) (e^x - (1+x)) / x^3 as x->0+ then the (e^x- (1+x)) / x^3=0/0 form so upon applying the L 'Hopital rule we get the solution as follows, as for the general equation it is as follows lim_(x->a) f(x)/g(x) is = 0/0 or (+-oo)/(+-oo) then by using the L'Hopital Rule we get  the solution with the  below form. lim_(x->a) (f'(x))/(g'(x))   so, now evaluating lim_(x->0^(+)) (e^x - (1+x)) / x^3 =lim_(x->0^(+)) (e^x - (1+x))' / (x^3)' = lim_(x->0^(+)) ((e^x - 1)) / ((3x^2)) When x->0+   we get (e^x - 1) /(3x^2) = 0/0 form, so applying the l'Hopital's Rule again we get = lim_(x->0^(+)) ((e^x - 1)') / ((3x^2)') = lim_(x->0^(+)) (e^x) / ((6x)) so now plugging the vale of x= 0 we get = lim_(x->0^(+)) (e^x) / ((6x)) = (e^0) / ((6(0))) = 1/0 = oo

We've reached part 4, chapter 1 of the story, and our hero is off on his travels once more. Gulliver has spent five relaxing months at home with his pregnant wife, but his wanderlust soon gets the better of him, and so he embarks upon another thrilling voyage into strange new worlds. Gulliver becomes captain of the appropriately-named Adventurer, a stout merchant ship weighing in at around 350 tons.  A week after setting sail from Portsmouth, Gulliver meets up with a Captain Pocock in Tenerife, in Spain. He clearly holds Pocock in high regard, albeit with some reservations. Pocock is an honest man and a good sailor, but he comes across as a tad stubborn, a little too set in his ways. Gulliver later hears that, after he and Pocock were parted by a storm, Pocock's ship floundered at sea, with the loss of all hands on board except a single cabin boy. Gulliver suggests that if Pocock had followed his advice, then this tragedy might well have been avoided.

According to the aerodynamics principle, the lift $L$ on an airplane wing at take off varies jointly as the squares of the speed $s$ of the plane and the area $A$ of its wings. A plane with a wing area of $500\text{ft}^2$ travelling at $\displaystyle 50 \frac{\text{mi}}{\text{h}}$ experiences a lift of 1700 lb. How much lift would a plane with a wing area of $600\text{ft}^2$ travelling at $\displaystyle 40 \frac{\text{mi}}{\text{h}}$ experience? $ \begin{equation} \begin{aligned} L &= k s^2 A^2\\ \\ 1700 \text{lb} &= k \left( 50 \frac{\text{mi}}{\text{h}} \right)^2 \left( 500 \text{ft}^2 \right)^2 && \text{Substitute the given}\\ \\ k &= \frac{1700 \text{lb}}{\left( 50^2 \frac{\text{mi}^2}{\text{h}^2} \right) \left( 500^2 \text{ft}^4 \right)} \end{aligned} \end{equation} $ Then, if $A = 600 \text{ft}^2$ and $\displaystyle s = 40 \frac{\text{mi}}{\text{h}}$ $ \begin{equation} \begin{aligned} L &= ...