Notes

The first stanza shows the speaker of the poem attempting to come to grips with the fact that his lover apparently no longer wishes to continue their relationship. He also displays his gratitude to her for offering him a kind of hope, and he wishes now that she would consent to go on one last ride with him (literally, a ride on horses, though "ride" also can be read as having a sexual meaning).  In the second stanza, the speaker watches as his mistress considers his request. He feels that her answer is a matter of life and death to him; if she consents, he lives; if not, he dies. The third stanza seems to suggest that being with his mistress feels like heaven to the speaker. When they are together, it feels so heavenly to him that flesh seems to disappear. The references to clouds possessing "billowy-bosom[s]" and to "passion" and "flesh" all hint at the speaker's lust for his mistress. When she leans forward to him, he feels both joy that sh...

McRaney is asking you to believe your judgements are often guided by irrationality rather than by reason and that you do not always understand why you make the decisions you do. For example, you have preconceptions, biases, and shortcuts in your thinking (called heuristics) that make you prone to errors of judgment and decision making. An example is priming, when a stimulus from the past affects your current decision. In a study cited by the author, subjects were asked to remember a sinful memory. Half of the participants washed their hands, while others did not. Those who did not were more likely to agree at the end of the study to help a graduate student for no money, and the researchers posited that it was because the people who had washed their hands had unconsciously washed away their guilt. This study is an example of how the unconscious plays a powerful role in our decision making.  The premise of the book might challenge your ideas that your decisions are always guided by logic...

In Connell's "The Most Dangerous Game," Rainsford is the one who uses the word "superstitious," not Whitney. Whitney uses the word "lore" to explain the feeling of the "poisonous" air that he senses as they pass by this particular island. After Whitney explains to Rainsford that passing by the same island once before left him with "a mental chill, a sort of sudden dread," Rainsford replies by saying the following: "Pure imagination . . . One superstitious sailor can taint the whole ship's company with his fear." Rainsford apparently does not believe in "lore" or "superstition," and he seems to shut Whitney down with this comment. However, Whitney continues to tell Rainsford what he means by saying the following: "Maybe. But sometimes I think sailors have an extra sense that tells them when they are in danger. Sometimes I think evil is a tangible thing--with wavelengths, just as sound and light ...

The nurse is partly to blame for the deaths of Romeo and Juliet, because she encouraged and enabled Juliet to see Romeo.   I would like to say that I don't think that the nurse is the only  character that deserves blame.  Ultimately, Romeo and Juliet are most to blame, since they both committed suicide.  Friar Laurence also deserves a great deal of the blame.  As for the nurse, she encouraged Juliet to secretly meet with Romeo. I must another way, To fetch a ladder by the which your love Must climb a bird's nest soon when its dark. She covered for Juliet, and she sent letters to Romeo for Juliet.  I admit that the friar probably deserves more of the blame, especially since he performed the actual wedding; however, without the nurse's help, that wedding likely would not have occurred.   Furthermore, the nurse knew about Juliet's love for Romeo, yet she began pushing Juliet to marry Paris.  This resulted in driving Juliet to seek more desperate measures to be with Romeo. ...

This novel by Neil Gaiman, currently being produced as a TV mini-series, follows number of characters who interact with people who claim to be ancient gods. These gods have decided to try and resurrect their cults of worship in the United States, where, after centuries of displacement following immigration from Europe and elsewhere, their followers have largely forgotten them. The idea is that the gods were worshipped more enthusiastically in their native regions where their origins lie. And so the American setting of this novel becomes very significant. The novel has been called a "road trip" novel since there is a great deal of traveling that occurs and important events that take place in these locations, all serving to advance the plot. The main character Shadow is released from prison and meets a man named Wednesday who invites him to work for him, and this involves travel from the start. There are a number of iconic American cities featured in the novel, like Los Angeles...

A tonic syllable is the most important syllable in a tone unit; it is the syllable that is the main stress of that unit. That being said, an important distinction to understand here is that the tonic syllable, while being the most important stress, is not necessarily the most prominent stress. Tonic syllables and their placements can vary across different languages, but in English there can be only one tonic syllable per tone unit. English tone units may also include a head, pre-head, or a tail, all which reflect different components of the sentence flanking the tonic syllable.  All this information pertains to a component of linguistics dealing with intonation, or the variation in pitch that expresses a speaker's attitude or feelings, indicates assertion versus questioning, and places emphasis on a particular part of a sentence. Understanding the role of intonation is particularly important for those learning English because our five primary tone types--rise, fall, rise-fall, fall...

The root cap is a special layer of tissue which protects the tip of a growing root and helps to anchor the plant. At the very tip of the root is a loose mass of parenchyma cells which continually slough off and regenerate with the growth of the root system. In addition to protecting the interior of the root, the cap secretes a mucilage which stabilizes water content of the surrounding soil, ensuring longer-lasting nutrition to the root system and making for easier root probing. Finally, the root cap contains statocytes, which are specialized cells that help the plant to sense gravity and grow accordingly. These cells are full of starchy organelles which settle at the lowest part of the cell and encourage growth in that direction. If the root cap, with these statocytes, is removed, plants may grow in random directions because it has lost the ability for gravitropism. 

Cico trusts Tony because of a feeling he has; he instinctively senses that Tony is someone who will be receptive to new spiritual experiences. In Chapter 11, when Tony demands to know why Cico trusts him with the story of the golden carp, Cico contends that there are no rules on who he can choose to trust with the story. He merely trusts those he knows will understand and appreciate the significance of what he's telling them. Later in the chapter, after Tony catches a glimpse of the magnificent golden carp (it is bigger than Tony himself), Cico maintains that only those who believe can see the carp. In fact, Cico asserts that many fishermen who fish at the pond can't see the carp themselves. The implication is that these fishermen aren't receptive to things they can't understand. Upon hearing Cico's words, Tony feels as if he belongs to a group of very special people. Cico also tells Tony that the carp will eventually swim to the Hidden Lakes in the hills; the lakes...

`sum_(n=0)^oo (3x)^n/((2n)!)` To determine the interval of convergence, use Ratio Test.  The formula in Ratio Test is: `L = lim_(n->oo) |a_(n+1)/a_n|` If L <1, the series is absolutely convergent.  If L>1, the series is divergent. And if L = 1, the test is inconclusive. The series may converge or diverge. Applying the formula above, the value of L will be: `L = lim_(n->oo) |(((3x)^(n+1))/((2(n+1))!))/(((3x)^n)/((2n)!))|` `L= lim_(n->oo) | ((3x)^(n+1))/((2(n+1))!)* ((2n)!)/((3x)^n)|` `L= lim_(n->oo) | ((3x)^(n+1))/((2n+2)!)* ((2n)!)/((3x)^n)|` `L= lim_(n->oo) | ((3x)^(n+1))/((2n+2)(2n+1)(2n)!)* ((2n)!)/((3x)^n)|` `L= lim_(n-gtoo) | (3x)/((2n+2)(2n+1))|` `L=3x lim_(n->oo) |1/((2n+2)(2n+1))|` `L=3x*0` `L=0` Since the value of L is less than 1, the given series converges for any values of x. Therefore, the interval of convergence is `(-oo, oo)` .

A car is not a living thing for many reasons. First, almost all living things need oxygen to survive. A car does not need oxygen; it does not require respiration. Secondly, all living things need water. Sure, you can wash a car with water, but it does not need water to run. Cars need a source of fuel. All living things also contribute to the food chain in some way. They are a part of the circle of life. Cars are not. Plants, animals, bacteria, etc., are included in the food chain and cars have no place on the food chain at all. In order for something to be a living thing, it needs water and (generally) oxygen to survive. Cars do not need to "survive."

Azar Nafisi was a professor of literature at a university in Tehran, Iran, before the revolution that brought the Ayatollah Khomeini to power. During the revolution and the Iran-Iraq War, Nafisi was forbidden to teach Western literature, the literature of the “Great Satan.” Refusing to give up her love of story, she began to have a secret book club in her home, where some of her women students (and one man) met to discuss American and British literature. The women of Iran were strictly limited as to their freedoms, forced to wear restrictive clothing and veils. Nafisi refused to do this and so was dismissed from her teaching position. Yet in her home, she opened the love of literature (and freedom) to her students through the study of books. Eventually, leaving Iran, she came to the United States, free to teach according to her passion.

Dave's conflict is with his father. After Professor Herbert punishes the boys who have split the cherry tree in Eif Crabtree's orchard, Dave is worried about how he will explain what has happened to his Pa. When Professor Herbert has the boys pay for the tree that has been damaged, Dave does not have the money, so he asks his teacher to just whip him with a switch and let him go home early so he can do his chores on the farm. But, Professor Herbert tells Dave that he is too big to whip. As explanation, Dave replies that his father "makes us mind until we are twenty-one years old" and this includes whippings. As he sweeps the school room floor, Dave worries about what his father will do to him when he comes home. He tries to think of what lie he can tell. Then, after Dave arrives home after seven o'clock, his father asks, "What in the world has kept you so?" Dave tells the truth, but Pa wonders; therefore, he declares that he will visit Professor Herbert....

One account of tragedy argues that it follows a pattern in which the hero, who is otherwise a great and noble character, suffers from a tragic flaw of arrogance or overwhelming pride leading to his inevitable downfall. This account is somewhat of an oversimplification, as the hero is sometimes caught in a forced choice scenario—often due to an inherited curse—and whatever path the hero chooses will lead to a downfall. The important thing to note is that human pride or arrogance in Greek tragedy is often seen as an affront to the gods. Because the Greek pantheon is anthropomorphic, the difference between god and human is one of degree (of skill, power, strength, etc.), and thus human overreach is seen as a mortal challenging or impinging on the domain of the gods. The tyrant is a child of Pride... Until from his high crest headlong He plummets to the dust of hope. A tyrant was a ruler by popular acclaim or by force, while a king was an hereditary ruler. Because the people and Oedipus hi...

Bad health resulting from a lack of food could be termed 'dietary deficiency,' 'malnutrition,' or 'lack of nutrients.' Severe lack of food could be starvation, whereas mild lack of food could be hunger or eating meals slightly less regularly. Bad health resulting from eating unhealthy food says very little at all except that there is a claim that the unhealthy food is either partly or fully to blame for whatever health problem is apparent from symptoms. Deficiencies in well-known vitamins (including A, B, C, D, and K) are associated with well-known symptoms, which is why those biochemical substances are termed vitamins.  'Unhealthy food' is a modern parlance. The older term 'malnutrition' spoke of lack of basic vitamins, arising from eating only scraps and not being properly cared for by society. 'Unhealthy food' results from having too many choices about what to eat. People with the means to eat whatever food they choose can still choose...

Sarah Lumb, Prior's girlfriend, represents the "New Woman" who developed in World War I and in the 1920s. She works in a munitions plant and enjoys greater freedom than women had in the past. She becomes involved in a sexual relationship with Billy Prior, though they are not married--something that is still considered taboo in some circles. Her mother, Ada Lumb, wheedles this information out of Sarah and criticizes Sarah for allowing herself to be taken advantage of. When Sarah protests that the relationship is her business, her mother angrily answers, "Would be if you were gunna cope with the consequences" (page 193). Ada advises her daughter to "put a value on herself" and "keep your knees together" (page 194). While Sarah is venturing into the world of the new and sexually freer woman, her mother reminds her that the culture of 1917 is still very repressive with regard to gender and sexuality. Women are still expected to remain virgins un...

There are a variety of ways to interpret the fossil record in a way that supports Darwin's theory. One of the primary considerations is the Law of Superposition, which says that, in the absence of disruptive forces such as plate tectonics altering the orientation of fossil layers, the oldest material should be on the bottom, and the newest material on the top. This is typically demonstrated upon observation through several means, such as radiometric dating, as well as observing the nature of the fossils themselves. If the Law of Superposition were not in place, we would expect to find human skeletons in one-billion-year-old rock, but instead we find bacteria and nothing else. This supports the idea of evolution in that it demonstrates how life "builds upon" earlier forms. Note that we should be careful to avoid the terms "improving" or "getting better" because these are relative and imply qualitative judgement based on our own anthropocentric stereotyp...

In "The Way Up to Heaven," the author uses the common third-person anonymous narrator with the point of view limited to a single character, Mrs. Foster. The narrator is seemingly omniscient but does not go into Mr. Foster's mind as he does throughout the story with Mrs. Foster. She often wonders about her husband's secret thoughts, but the narrator only suggests what he is thinking by describing what he says and does. It isn't until the end of the story that Mrs. Foster realizes how her husband has been torturing her over the years by creating delays that make her miss important appointments, just as he does in "The Way Up to Heaven." All her life, Mrs. Foster had had an almost pathological fear of missing a train, a plane, a boat, or even a theatre curtain. In other respects, she was not a particularly nervous woman, but the mere thought of being late on occasions like these would throw her into such a state of nerves that she would begin to twitch. Whe...

Militarism is caused by a number of different factors.  First, a government may build up its military if it perceives a domestic or foreign threat.  The government will increase military spending to prevent conflict with these groups.  A second reason for military buildups is to increase the potential for expansion.  This imperialist agenda is put forth to increase wealth and resources for a country.  Another reason for militarism is that it may help a country's economy as defense industries benefit from increased military spending, a jobs are created in those fields. Militarism does have the potential to cause wars between countries, and these wars tend to be very destructive.  This was the case in World War I as European nations spent decades building up their arms, which culminated in a deadly stalemate during the early part of this war. Another effect of militarism has to do with the economic concept of trade-off or opportunity cost.  As a country spends larger amounts of money...

This book is a beautiful description of Taoism (and what it means to be a Taoist disciple) in novel form. The main character is the narrator: Wang Tieh-hsin. We follow Wang Tieh-hsin through all of his experiences. The simplest explanation of plot is that Wang Tieh-hsin becomes a Taoist Master and enlightens many others. The novel begins with Mother Wang and her unwillingness to serve the poor. Unfortunately for Mother Wang, the beggars are actually immortals who tell her the following, a key point of the Taoist philosophy: If your compassion and charity are sincere, you will give without expecting anything in return. If you expect to get something out of what you give, then it is not true charity. All this time your charitable deeds have been either a show for others to see or an investment in the hope of obtaining long life and prosperity. In a more general sense , Seven Taoist Masters is about one woman and six men who experience and overcome many hardships as they journey towards ...

The religious motivation for the Crusades is the one most people know about: Europe was predominantly Christian and ruled by Christian governments while the Middle East was predominantly Muslim and ruled by Muslim governments. People in each religion believed (as many still do today) that their religion is the one true religion and everyone else's religion is wrong; furthermore, a substantial proportion believed that those who do not believe the right religion should suffer or even be put to death. Thus, there were a large number of Christians willing to kill Muslims simply because they were Muslims, and conversely a large number of Muslims willing to kill Christians simply because they were Christians. But that is not the whole story of the Crusades. There was also a substantial political motivation; European governments found that by launching wars and conquering territory in the Middle East they could strengthen their own power at home. In particular, the Catholic Church used th...

Looking closely at both Eliot and Sylvia, one can easily see the negative roles that they play.  In the case of Eliot (the protagonist), while he puts on a front of positive roles (humanitarian, husband, and millionaire), he simultaneously plays the negative roles of alcoholic, mental health patient and father of over fifty illegitimate children.  Eliot is constantly drunk on “Rosewater Golden Lager Ambrosia Beer” as well as the well-known Southern Comfort.  Eliot is “certifiably insane,” hence his negative role as a mental health patient.  He seems to be wandering aimlessly through life, the main subject of Vonnegut’s satire.  Eliot refers to his mentally ill self as an “aimless fool” as he gives away his money through the Rosewater Foundation.  Eliot also plays the role of "father" to over fifty children.  This fatherhood is truly a role Eliot plays in that it is not real. Eliot is essentially a eunuch and not sexually active.  The children serve to assure the continuation ...

In this question, you are referring to the Supreme Court case of Plessy v Ferguson , which was decided in 1896.  In that case, the Court had to decide whether a Louisiana law that required whites and blacks to sit in separate train cars violated the 14th Amendment.  The Court held that it did not.  There were two main reasons for this. First, the Court said that the 14th Amendment was meant to make blacks and whites equal in legal terms, but not in social terms.  It said that there was a difference between making sure that blacks had the right to vote and requiring that they be allowed to sit in the same train cars as whites.  The Court pointed to previous cases, including one in which segregated schools in Boston were found to be constitutional.  The Court held that the amendment was meant …to enforce the absolute equality of the two races before the law, but in the nature of things it could not have been intended to abolish distinctions based upon color, or to enforce social, as dist...

The lines you have described constitute the fifth and sixth stanzas of Robert Browning's "The Last Ride Together." The poem itself consists of ten stanzas, each 11 lines long. The poem is written in iambic tetrameter, with each stanza rhymed AABBCDDEEEC. The poem is a dramatic monologue narrated in the first person. In earlier stanzas we have discovered that the narrator is in love with a woman who is not in love with him and that she has effectively ended the relationship. Nonetheless, she agrees to his request that they go riding together one last time. The situation of these two stanzas is that the poet and the woman he loves unrequitedly are now riding together. There is no detail regarding where they are riding, the precise time of day, the weather, or the landscape. The lack of detail is deliberate, as the narrator wants to emphasize the emotion and spiritual aspects of the situation, which he considers more important than material details. The fifth stanza begins w...

The very first Puritan governor was most definitely John Winthrop.  He was the governor of the Massachusetts Bay Colony for over ten years of the colony's existence.  As one of the very first immigrants to come from Europe to the continent of North America, John Winthrop was hoping to establish a very pure church here in the new world.  John Winthrop was the founder who said, "I had also a great striveing in my heart to draw others to God."  Even though he sometimes clashed with the more conservative religious leaders, John Winthrop's rules on government were considered "authoritarian."  John Winthrop only wanted a small number of religious elders to vote.  Further, he did not want that small group to be limited in their doings by any kind of laws or codes of conduct (because they would already be considered religious elders). Ironically, John Winthrop was against pure democracy which he considered the "worst" kind of government.

There are, indeed, protagonists and antagonists in Saki's "The Interlopers," although these roles change during the narrative. In the exposition and rising action of the plot of "The Interlopers," as the defender of his land, Ulrich von Gradwitz, can be considered the protagonist, who tries to protect the ownership of his land while Georg Znaeym, ...the inheritor of the quarrel and the tireless game-snatcher and raider of the disputed border-forest, is the antagonist. When they come around the great beech tree, they face off against one another, but cannot immediately fire their guns because of their being civilized. Then, when they do think about killing each other, nature intervenes as the tree's large branches break from a deadly strike of lightning and the men are pinned under these branches. As they lie prisoners of nature's violence, the old enemies exchange words of animosity, each man hoping that his men will arrive first to wreak vengeance upon ...

In Act 4, Scene 1, Macbeth confronts the three witches and asks them questions about the future. He receives assurances from the apparitions the witches invoke, such as that he cannot be harmed by any man of woman born and that he is safe until Birnam Wood shall move to Dunsinane. Finally he asks the question that has been plaguing him since the beginning of the play. Yet my heart Throbs to know one thing: tell me, if your art Can tell so much, shall Banquo's issue ever Reign in this kingdom? The witches present a show to answer his question. The stage directions call for: A show of eight Kings, and Banquo last with a glass in his hand.  Shakespeare wanted to show that there would be many more kings descended from Banquo, but the stage could get too crowded. So the playwright has Banquo holding a mirror--probably just a small hand-mirror--in which Macbeth explains that he sees many more kings stretching back into infinity. The images would be getting smaller and smaller as they rec...

Please note that the Declaration of Independence was not a written law (so the verb "passed" does not quite work here), but instead, a statement proclaiming the purpose of the new nation, the United States, and its literal declaration of independence from England.  On July 4, 1776, the Declaration of Independence was signed in Congress by representatives from all the former colonies, now states: Georgia, Massachusetts, Connecticut, Rhode Island, Vermont, New Hampshire, Pennsylvania, New York, New Jersey, Delaware, Maryland, Virginia, North Carolina, South Carolina, and Georgia. The Declaration of Independence, written during the Revolutionary War (1775-1783), also described the reasons why the former colonies decided to release themselves from their king. The document accused King George III—and all previous kings—of tyranny and "repeated injuries and usurpations."  The war ended in 1783 with the signing of the Treaty of Paris. The new nation then set out to concret...

This prompt is obviously based on Franz Kafka's story "The Metamorphosis" in which the protagonist, Gregor Samsa, wakes up to discover that he has been transformed into a giant insect. The point of the exercise is one of controlling perspective, and understanding how a character's interactions with the world are determined through not only individual choices but through how others view that character.  One of your first choices, perhaps even before that of the creature into which the character is transformed, is gender. The character can have a traditional male or female identity, or perhaps some more fluid or transgender identity. Choosing a traditional gender identity makes controlling pronouns in your writing much easier, but it restricts some of the imaginative possibilities for using this species transformation to also interrogate the nature of gender. Your next choice will be type of creature. Your decision in this case should rest on whether you want a sort of ...

`sum_(n=1)^oo1/(n(n+1))` `a_n=1/(n(n+1))` Using partial fractions, we can write the n'th term as, `a_n=1/n-1/(n+1)` The n'th partial sum of the series `S_n` is, `S_n=(1/1-1/(1+1))+(1/2-1/(2+1))+(1/3-1/(3+1))+............+(1/(n-1)-1/(n-1+1))+(1/n-1/(n+1))` `S_n=(1-1/2)+(1/2-1/3)+(1/3-1/4)+............+(1/(n-1)-1/n)+(1/n-1/(n+1))` This is telescoping form of the series, `S_n=(1-1/(n+1))`   `sum_(n=1)^oo1/(n(n+1))=lim_(n->oo)S_n` `=lim_(n->oo)(1-1/(n+1))` `=1` So the series converges.

After he leaves the Capulets' party with his friends, where he first met, spoke to, and fell in love with Juliet, Romeo decides that he must pursue her, and he scales the walls surrounding her garden, hiding underneath her balcony.  When she speaks, he -- still hidden -- says aloud to himself, She speaks. O, speak again, bright angel! For thou art As glorious to this night, being o'er my head, As is a wingèd messenger of heaven Unto the white, upturnèd, wondering eyes Of mortals that fall back to gaze on him When he bestrides the lazy-puffing clouds And sails upon the bosom of the air.  (2.2.28-35) Romeo compares Juliet to an angel, via metaphor .  A metaphor is a comparison between two unalike things where the speaker says that one thing is another.  Here, the comparison shows us just how he feels about her.  To him, she seems divine.  He says that she is as wonderful and amazing to him as an angel who flies above mortal men and compels them to lie on their backs so that they...

In Avi's Nothing But the Truth , question number four on Philip's Winter Term English exam for Margaret Narwin's class is: What is the significance of Jack London's choice in making Buck, the dog in The Call of the Wild , the focus of his novel? Is the dog meant to be symbolic? Explain your answer. Can people learn from this portrayal of a dog? Expand on these ideas.  Rather than provide a serious answer to this question, Philip chooses to be glib and to let his poor attitude spoil his efforts. He replies: The significance of Buck in Jack London's novel The Call of the Wild is that Buck is symbolic of a cat. You might think that cats have nothing to do with the book, but that is the point. Dogs are willing to sit around and have writers write about them, which, in my personal opinion, makes them dumb. I think cats are smart. Cats don't like cold. A book that takes up so much time about a dog is pretty dumb. The book itself is a dog. That is what people can lea...

The two characters whose motivations we gain insights into are the mother and Paul. The father remains in the shadows, seen through the eyes of the mother, while the uncle and groom simply seem to have a reasonable, healthy enjoyment of betting on the races. The mother, however, has an empty spot in her soul that she tries to fill with money; however, as is almost always the case with inner emptiness, money simply can't fill the void. She is dissatisfied with her husband and, we are told, is incapable of really loving her children. Money becomes her substitute for love, and the house is permeated by the sense that there is never enough, despite the family's comfortable lifestyle. Paul goes on his endless quest of riding his rocking horse to win money for his mother because he senses her emptiness and wants to make her happy and earn her love and approval. He gives all his winnings to her. He eventually rides himself to death to win money, money that he doesn't want for hims...

After Emily's father dies, Colonel Sartoris invents a way to help Emily survive financially without embarrassing her by revealing that she's actually accepting charity from the town. Everyone has to pay property taxes on their houses, of course. But Colonel Sartoris permanently excuses Emily from paying those taxes, telling her a lie about how her father had given money to the town, and now they are repaying him by cancelling all of her taxes. Again, he does this for her as a favor, saving her from poverty, keeping her in her own house, and preventing the embarrassment she would feel if she were offered a more straightforward method of charity. Here's the explanation from the narrator, which we find in the third paragraph of the story: "Alive, Miss Emily had been a tradition, a duty, and a care; a sort of hereditary obligation upon the town, dating from that day in 1894 when Colonel Sartoris, the mayor—he who fathered the edict that no Negro woman should appear on the ...

There are six common types of research that have application to business. 1. Case studies allow for detailed information based on an individual's or group's consumer satisfaction, attitudes, preferences and opinions. 2. Surveys and questionnaires accumulate large amounts of general information from a sampling of a broad population. 3. Interviews aim for in-depth personal experience through questions that are answered in full instead of briefly as on surveys. 4. Focus groups look for interaction and honest feedback on products. 5. Observation aims for accuracy of information through the impressions of qualified individuals. 6. Documentation review provides a collection of factual historical information from such documents as financial statements and in-house communications. There are weakness to each type of research. Case studies are time consuming and narrow in focus. Surveys have wording challenges and may be responded to without due care. Interviews are also time consuming...

During the trial, Asa Briggs uses Dorthy Moore as a witness to testify that James King was at her house during the robbery. She tells Briggs that James was at her home around three thirty. When Petrocelli cross-examines Moore, Dorthy mentions that she is James' cousin. Dorthy also says that James visited her about twice a month and was simply dropping off a lamp which happened to be a Christmas present. Petrocelli then asks her the cost of the lamp and if she remembered whether James was working at the time. Dorthy Moore cannot recall the price of the lamp or if James was employed. However,  Dorthy insists that she isn't lying but continues to struggle when she is asked questions about James' life. Petrocelli then asks Dorthy if she still has the lamp, and Moore says that she does not have it because it broke. Asa Briggs uses Moore's testimony as an alibi that James King was not near the store during the crime. 

Both Macbeth and Banquo are bewildered by the weird sisters. The witches proclaim that Macbeth is Thane of Glamis and Cawdor, and will eventually be king. Banquo asks Macbeth why this news startles him. Banquo asks the witches to tell his future. They say that he will not be king, but his sons will. Given Macbeth's first reaction, it seems that Banquo is initially more comfortable with the prophecies than Macbeth is. Seeing proof of what the witches had said, Macbeth becomes ambitious. Banquo, on the other hand, collects his thoughts and becomes skeptical. Here, we clearly see how Macbeth gives in to his ambition while Banquo takes a step back and employs a healthy (intelligent) skepticism: And oftentimes, to win us our harm, The instruments of darkness tell us truths, Win us with honest trifles, to betray's In deepest consequence. (I.iii.133-46) After hearing Banquo's warning, and considering how "foul and fair" the day has been, Macbeth is skeptical as well. So,...

We are asked to write the equation of the parabola with directrix x=-1/18 and vertex at the origin: The equation for a parabola with vertex at the origin and focus (a,0) is `y^2=4ax ` Since the vertex is the midpoint of the perpendicular segment from the focus to the directrix we find the focus at (1/18,0). Thus the equation we seek is `y^2=2/9x `

The changing of the farm's name in Animal Farm is preceded by several important events. The first of these occurs in Chapter One when Old Major makes a speech in which he highlights the inhumanity of Man and teaches that all animals are equal. He also teaches the animals a song called "Beasts of England," which they adopt as their anthem of hope and equality.  As a result of this speech, the animals have a "completely new outlook on life" and they believe that a revolution is inevitable. In the next chapter, Old Major dies, but the animals are primed for revolution. The pigs, being the "cleverest" of the animals, lead the preparations for this much-anticipated event: they hold secret meetings, develop the principles of Animalism and teach themselves how to read and write. But the revolution happens far sooner than expected: after Mr. Jones forgets to feed them one day, the animals seize control of the farm and force Mr. and Mrs. Jones and the farmhand...

To evaluate the given equation `36^(5x+2)=(1/6)^(11-x)` , we may apply `36=6^2`  and  `1/6=6^(-1)` . The equation becomes: `(6^2)^(5x+2)=(6^(-1))^(11-x)` Apply Law of Exponents: `(x^n)^m = x^(n*m)` . `6^(2*(5x+2))=6^((-1)*(11-x))` `6^(10x+4)=6^(-11+x)` Apply the theorem: If `b^x=b^y` then `x=y` , we get: `10x+4=-11+x` Subtract `x` from both sides of the equation. `10x+4-x=-11+x-x` `9x+4=-11` Subtract 4 from both sides of the equation. `9x+4-4=-11-4` `9x=-15` Divide both sides by `9` . `9x/9=-15/9` `x=-15/9` Simplify. `x=-5/3` Checking: Plug-in `x=-5/3` on `36^(5x+2)=(1/6)^(11-x)` . `36^(5(-5/3)+2)=?(1/6)^(11-(-5/3))` `36^(-25/3+2)=?(1/6)^(11+5/3)` `36^(-25/3+6/3)=?(1/6)^(33/3+5/3)` `36^(-19/3)=?(1/6)^(38/3)` `(6^2)^(-19/3)=?(6^(-1))^(38/3)` `6^(2*(-19/3))=?6^((-1)*38/3)` `6^(-38/3)=6^(-38/3) `         TRUE Final answer: There is no extraneous solution. The `x=-5/3` is the  real exact solution  of the equation `36^(5x+2)=(1/6)^(11-x)` . 

`int_0^5x^2/(5+2x)^2dx` First let's evaluate the indefinite integral, Use the following from the integration table: `intu^2/(a+bu)^2du=1/b^3(bu-a^2/(a+bu)-2aln|a+bu|)+C` Here we have `a=5,b=2` `intx^2/(5+2x)^2dx=1/2^3(2x-5^2/(5+2x)-2(5)ln|5+2x|)+C` `=1/8(2x-25/(5+2x)-10ln|5+2x|)+C` So, `int_0^5x^2/(5+2x)^2=1/8[2x-25/(5+2x)-10ln|5+2x|]_0^5` `=1/8{[2(5)-25/(5+2(5))-10ln|5+2(5)|]-[2(0)-25/(5+2(0))-10ln|5+2(0)\]}` `=1/8{[10-25/15-10ln|15|]-[-25/5-10ln|5|]}` `=1/8(10-5/3-10ln15+5+10ln5)` `=1/8(15-5/3-10(ln15-ln5))` `=1/8(40/3-10ln(15/5))` `=1/8(40/3)-(10/8)ln3` `=5/3-5/4ln3` `~~0.2934`

There are a great many social issues in this play, and because the play is a metaphorical expression of McCarthyism, the social issues can be interpreted through the lens of two eras: the 1950s, and the late seventeenth century. Social issues such as sexism, religious fanaticism, corruption in the church, feudalism, and problems with the legal and justice system, which was newly created for the early colonists, all were part of the situation in Salem Village that led to the execution of a number of innocent people for witchcraft. Perhaps one of the most significant social issues was that of class division, which caused tension between the wealthy merchant class and the poor farmers whose devotion to Puritan beliefs made the accumulation of wealth a source of conflict. Part of Miller's purpose in using this historical context to explore the current political situation was to show that McCarthy's tactics and the paranoia and manipulation surrounding the hearings were not only sim...

`log_5(2x-7)=log_5(3x-9)` Using one to one property of logarithms, `2x-7=3x-9` `=>2x-3x=-9+7` `=>-x=-2` `=>x=2` Let's plug back the solution in the equation, `log_5(2*2-7)=log_5(3*2-9)` `log_5(-3)=log_5(-3)` However logarithm of negative number is undefined, So the solution is extraneous.

In short, the narrator hesitates to kill the elephant because he does not, in fact, want to go through with it. For one thing, killing an elephant is in and of itself a serious matter, since elephants are so valuable. Shooting an elephant is akin to "destroying a huge and costly piece of machinery." More importantly, by the time the narrator encounters the elephant, it is no longer rampaging, but is peacefully and calmly eating grass near the edge of town. But the problem for the narrator is that a crowd of Burmese people has followed him, and they expect him to shoot the beast. He realizes that, although he does not want to kill the animal, he has to in order to, in his words, avoid "looking a fool." He is a representative of the British Empire to the Burmese people, and they expect him to act violently. Shooting the elephant against his better judgment is one example of how imperialism has corrupted the narrator.

Feminism is a movement that argues for women's rights and full gender equality across all aspects of culture, politics, economics, and even daily life. It began to gain traction in the nineteenth century over such issues as divorce, married women's property rights, women's education, and women's right to vote. In literary circles, it was expressed as a demand for women to be taken seriously as writers and to be paid as much as men doing the same work. In  modern literary criticism, feminism aims to accomplish several tasks. The first is "recovery", or rediscovery and promotion of female writers from all periods and cultures. Feminist critics are attempting to change the "literary canon" or standard works that form cultural touchstones to make it more gender-inclusive.  The second major task is feminist reading of works both by men and women. Feminist critics interrogate literary works to explain how they reveal narratives of female oppression or empo...

Holden has a deep desire for connection with other people, but he does not have the skills to make genuine connections in most cases. He is very sensitive to injustice but, again, doesn't have the skills to combat it effectively. He is perceptive and intelligent, but his personality is a bad match with the boarding-school environment, at least when he is in his adolescent state of depression and grief. He's inadequately connected with his family, especially his parents. Finally, his own coping strategies make things worse for him.  I write the paragraph above with Holden as the subject of the sentences, but I don't mean to imply that all these things are solely his fault or responsibility to fix. In all these cases, the problem is the result of a "perfect storm" made up of Holden's immature social skills plus the selfishness and failings of other people in his life plus the unavoidable in conditions in family and society. Desire for connection.  Holden is of...

In  The Autobiography of Malcolm X , the author recounts his decision to wear a hat in the classroom of his school, a calculated act of defiance that results in his being exiled to a reform school. However, the wearing of the hat is only part of the cycle of events that gets Malcolm exiled, and the nature of the story, combined with both the details we have and the details that are denied us, makes it difficult to determine precisely whether Malcolm's teacher was justified in his decision to oust the student. In the  Autobiography , Malcolm makes it clear that his decision to wear the hat was a deliberate one. He confesses that he was acting in direct defiance of school policy and his teacher's orders. He also makes it plain through the remainder of the story that it is not the hat-wearing that is the principle reason for his expulsion. First of all, as punishment for his hat-wearing, Malcolm is forced by the teacher to walk around the classroom until he is told to stop, so, th...

A parabola with directrix at` x=a` implies that the parabola may opens up sideways towards to the left or right. The position of the directrix with respect to the vertex point can be used to determine in which side the parabola opens. If the directrix is on the left side of the vertex point then the parabola opens towards to the rights side. If the directrix is on the right side of the vertex point then the parabola opens towards to the left side. The parabola indicated in the problem has directrix of `x=-2` which is located on the left side of the the vertex `(0,0)` . Thus, the parabola opens towards to the right side and follows the standard formula: `(y-k)^2=4p(x-h)` . We consider the following properties:  vertex as `(h,k)`  focus as `(h+p, k)`  directrix as `x=h-p` Note: `p` is the distance of between focus and vertex or distance between directrix and vertex. From the given vertex point `(0,0)` , we determine `h =0` and `k=0` . Applying directrix `x=-2 ` and `k=0` on `x=h-p` we ...

Frantz Fanon's The Wretched of the Earth describes the effects of colonization on those living in colonized countries, and critiques Western imperialism and nationalism. Fanon argues that the relations between colonialist and colonized countries are exploitative and result in the dehumanization of those living in colonized nations. The text draws particularly on the relations between European countries and African countries in the twentieth century, especially between France and Algeria, using psychological analyses to illustrate the effects of colonization on the individual. Fanon proposes decolonization through a revolution of the lumpenproletariat, drawing from the Marxist tradition. According to Fanon's definition, the lumpenproletariat consists of colonized peoples who are not employed by a colonizer state's industries, and this class would have the ability to revolt against colonization because of their lack of faith in colonial ideologies. Fanon's analysis of int...

The play's title refers to the dreamlike qualities of romance. It also refers to the yearning to escape the mundane or troublesome qualities of marriage that are portrayed in Titania and Oberon's relationship, as well as Theseus and Hippolyta. The love spells that occur are a sort of fantasy and wish fulfillment interlude. So many quotes from the play refer to these different ideas and symbols. There is even a suggestion that the entire play is a dream, and the setting in fairyland supports this; at the end of the opening prologue, Puck says:  If we shadows have offended, Think but this,--and all is mended,-- That you have but slumber'd here While these visions did appear. This suggests that the action to come may be a dreamlike experience, and not a "real" story. Later on, Theseus uses the term "shadows" to refer to the players in the production of Pyramus and Thisbe: The best in this kind are but shadows; and the worst are no worse, if imagination amen...

The Nazi Party gained power relatively quickly in post-World War I Germany. As late as 1928, the Nazis only received 2.6% of the vote in the Reichstag  elections (The  Reichstag was the German parliament). Most Germans viewed the Nazis as a radical group on the fringe of German politics. However, chaotic times often allow radical movements to prevail, and it was not long until such a crisis facilitated the rise of the Nazi Party. The outbreak of the Great Depression in 1929 and the German government's failure to manage the crisis allowed the Nazis to poll at 18.3% in 1930 and thus become the second-largest German political party. The Nazis blamed the Jews, communists, and the Treaty of Versailles for the plight of German workers, and, significantly, they presented a nationalist vision for restoring Germany to its prior greatness (which included, among other things, the purification of the German race and the confiscation of Jewish property). Moreover, they mounted an effective pro...

America's interest in a country usually involves economic or military considerations. In Iraq, for example, the United States has a strategic military interest. Iraq shares a long border with Iran, a country that has shown significant hostility toward the United States (we've all seen the burning flags and heard the “death to America” chants). As an example of how fluid international relations can be, Iraq's importance has changed since our invasion in 2003. The development and rise of ISIS in Syria and Iraq has made Iraq more important than ever. As long as ISIS can operate as a quasi-state in the Middle East, it can continue to recruit and perpetrate terrorist attacks. A strong Iraq would have made ISIS's territorial gains impossible. So the U.S. continues to support Iraq militarily, and at least one of the reasons is ISIS. The U.S. also has many economic interests throughout the world. Economies improve with trade with other countries. Robust trade boosts a country...

Robert Frost's "The Pasture" is a two-stanza poem with a xAAx rhyme scheme, written in iambic pentameter except for the final line of each stanza, which utilizes iambic tetrameter. One example of a literary device in "The Pasture" is anthimeria, or the use of a word as a different part of speech than its normal usage. This literary device is utilized in the first line of the poem: I'm going out to clean the pasture spring This is an example of anthimeria because Frost is using "pasture," normally a noun, as an adjective modifying the noun "spring." Frost additionally uses alliteration, or the repetition of beginning sounds, in the following line: (And wait to watch the water clear, I may) Finally, the poem contains one example of repetition as a literary device. Each of the two stanzas ends with the same line, which is the following: I sha'n't be gone long. You come too.

George Washington was very involved in the Revolutionary War. He was the commander-in-chief of the colonial army. George Washington’s leadership was essential to the eventual colonial victory. George Washington made some brilliant moves. When the colonists had lost the first few battles of the Revolutionary War and were heading into the winter of 1776-1777 without a victory, he decided to attack the British at Trenton on Christmas night. He won that battle and another at Princeton. This gave the colonists hope as the winter of 1776-1777 arrived. George Washington was able to make good decisions as leader of the army. He was able to recognize good military leaders. When he was asked to name a replacement for General Gates who was not being successful, he appointed Nathanael Greene to lead the army in the South. He also was able to recognize British mistakes and capitalize on them. When the British moved their fleet to Yorktown, he repositioned his army to prevent an escape by land. He c...

The formula of arc length of a parametric equation on the interval `alt=tlt=b` is: `L = int_a^b sqrt((dx/dt)^2+(dy/dt)^2) dt` The given parametric equation is: `x=t` `y=t^5/10 + 1/(6t^3)` The derivative of x and y are: `dx/dt = 1` `dy/dt =(5t^4)/10 + (-3)/(6t^4) =t^4/2-1/(3t^4)` So the integral needed to compute the arc length of the given parametric equation on the interval `1 lt=tlt=2` is: `L=int_1^2 sqrt(1^2 + (t^4/2-1/(3t^4))^2) dt` The simplified form of the integral is: `L= int_1^2 sqrt(1 + t^8/4-1/2+1/(4t^8))dt` `L=int_1^2 sqrt(t^8/4+1/2+1/(4t^8))dt` `L=int _1^2 sqrt((t^16+2t^8+1)/(4t^8))dt` `L=int_1^2 sqrt( ((t^8+1)^2)/(4t^8))dt` `L=int_1^2 (t^8+1)/(2t^4)dt` Evaluating this yields: `L=int_1^2 (t^4/2 + 1/(2t^4))dt` `L= int_1^2 (t^4/2+ t^(-4)/2)dt` `L= t^5/(2*5) + t^(-3)/(2*(-3))`  `|_1^2` `L= t^5/10-1/(6t^3)`  `|_1^2` `L= (2^5/10 - 1/(6*2^3))-(1^5/10-1/(6*1^3))` `L=(32/10-1/48) - (1/10 - 1/6)` `L=(768/240-5/240)-(3/30-5/30)` `L=763/240+2/30` `L=763/240+16/240` `L=779/240` Theref...

Taylor series is an example of infinite series derived from the expansion of f(x) about a single point. It is represented by infinite sum of `f^n(x)` centered at `x=c` . The general formula for Taylor series is: `f(x) = sum_(n=0)^oo (f^n(c))/(n!) (x-c)^n` or `f(x) =f(c)+f'(c)(x-c) +(f^2(c))/(2!)(x-c)^2 +(f^3(c))/(3!)(x-c)^3 +(f^4(c))/(4!)(x-c)^4 +...` To apply the definition of Taylor series for the given function `f(x) = ln(x)` , we list `f^n(x)` as: `f(x) = ln(x)` `f'(x) = d/(dx)ln(x) =1/x` Apply Power rule for derivative: `d/(dx) x^n= n *x^(n-1)` `f^2(x) = d/(dx) 1/x`             `= d/(dx) x^(-1)`             `=-1 *x^(-1-1)`             `=-x^(-2) or -1/x^2` `f^3(x) = d/(dx) -x^(-2)`             `=-1 *d/(dx) x^(-2)`             `=-1 *(-2x^(-2-1))`            `=2x^(-3) or 2/x^3` `f^4(x)= d/(dx) 2x^(-3)`              `=2 *d/(dx) x^(-3)`             `=2 *(-3x^(-3-1))`             `=-6x^(-4) or -6/x^4` Plug-in `x=1` , we get: `f(1) =ln(1) =0` `f'(1)=1/1 =1` `f^2(1)=-1/1^2 =...

Language is a system of communication, so its main function -- its use or purpose -- is semantic: Language is a way to encode a particular meaning in symbols (like words) and transmit this meaning to others. But people who study language want to take a much deeper look. What different kinds of communicative functions does language serve? And do people use language for other reasons, reasons that have little to do with communicating a specific meanings? Different scholars come up with slightly different lists, but they can agree on these basic points. 1. Language has many functions that derive from the semantic, or meaning-encoding, properties of language . People use language to communicate facts, opinions, and propositions, including statements about abstract concepts.        The tree is green. Nature is beautiful. make requests and ask for specific information;        Could you please hand me the binoculars? Is that a squirrel in the tree? issue commands;        Get down out of the t...

Management is comprised of a body of managers or a group of individuals responsible for providing leadership to various departments in a company. Management has several roles in a company, but their six main roles include planning, organizing, staffing, leading, motivating, and controlling . Planning - Management is responsible for defining the objectives of the company for each financial or operational period of the year. Simply, based on historical data from previous years of operation or data collected from market research, management creates achievable targets for the next financial or operational period of the business. Organizing - After the quarterly and/or annual objectives have been defined, management delegates duties amongst employees and sets targets for each department. This is to ensure that all employees in each department are working collectively in the attainment of the company's objectives. Staffing - Once an employee needs to be hired or fired the Human Resour...