Notes

If Mrs. Hutchinson had failed to show up, her husband would have drawn for her. Mrs. Hutchinson is almost late on lottery day. She comes rushing in after everyone has assembled and says she forgot what day it was.  The lottery happens every year. "Clean forgot what day it was," she said to Mrs. Delacroix, who stood next to her, and they both laughed softly. "Thought my old man was out back stacking wood," Mrs. Hutchinson went on. "And then I looked out the window and the kids was gone, and then I remembered it was the twenty-seventh and came a-running." It wouldn’t have mattered, though, if she had not come.  Her husband would have drawn for her.  When a person is indisposed, or missing, the wife draws for the husband or the husband draws for the wife. If there is no husband, the oldest son draws.  These are the traditional rules. When Clyde Dunbar is not there, his wife says she will draw for him because their son is only sixteen.  Apparently that is not ...

The Freedom Summer, also referred to as the Mississippi Freedom Project, took place in the summer of 1964, when civil rights groups such as the Congress of Racial Equality (CORE) and SNCC (Student Non-violent Coordinating Committee) tried to register African-Americans, who were largely disenfranchised, to vote in the state. The civil rights workers were harassed by groups such as the KKK, and two civil rights workers from New York--Michael Schwerner and Andrew Goodman--and one local activist--James Chaney--were murdered in June of 1964 in Philadelphia, Mississippi. SNCC, an offshoot of Dr. Martin Luther King's Southern Christian Leadership Conference (SCLC), involved students across the country, African-American and white, in advocating for civil rights through sit-ins, protests, voter registration drivers, and other forms of activism. The Mississippi Freedom Democratic Party (MFDP) was a political party organized to represent Mississippi in 1964 as an alternative to the Mississipp...

The parametric equations are: `x=t^3-6t`  ------------------(1) `y=t^2`          -----------------(2) From equation 2, `t=+-sqrt(y)` Substitute `t=sqrt(y)` in equation (1), `x=(sqrt(y))^3-6sqrt(y)` `=>x=ysqrt(y)-6sqrt(y)`  ----------------(3) Now substitute `t=-sqrt(y)` in equation (1), `x=-ysqrt(y)+6sqrt(y)`   ----------------(4) The curve will cross itself at the point, where x and y values are same for different values of t. So setting the equations 3 and 4 equal will give the point, `ysqrt(y)-6sqrt(y)=-ysqrt(y)+6sqrt(y)` `=>ysqrt(y)+ysqrt(y)=6sqrt(y)+6sqrt(y)` `=>2ysqrt(y)=12sqrt(y)` `=>2y=12` `=>y=6` Plug in the value of y in equation 4, `x=-6sqrt(6)+6sqrt(6)` `=>x=0` So the curve crosses itself at the point (0,6). Note that,we can find this point by plotting the graph also.  Now let's find t for this point, `t=+-sqrt(y)=+-sqrt(6)` The derivative `dy/dx` is the slope of the line tangent to the parametric graph `(x(t),y(t))` `dy/dx=(dy/dt)/(dx/dt)` `y=t^2` `=...

`sum_(n=1)^oo1/(9n^2+3n-2)` Let's rewrite the n'th term of the sequence as, `a_n=1/(9n^2+3n-2)` `=1/(9n^2+6n-3n-2)` `=1/(3n(3n+2)-1(3n+2))` `=1/((3n+2)(3n-1))` Now let's carry out partial fraction decomposition, `1/((3n+2)(3n-1))=A/(3n+2)+B/(3n-1)`  Multiply the above equation by LCD, `1=A(3n-1)+B(3n+2)` `1=3An-A+3Bn+2B` `1=(3A+3B)n-A+2B` Equating the coefficients of the like terms, `3A+3B=0`    -----------------(1) `-A+2B=1`  ------------------(2) From equation 1, `3A=-3B` `A=-B` Substitute A in equation 2, `-(-B)+2B=1` `B+2B=1` `3B=1` `B=1/3` `A=-1/3` `a_n=(-1/3)/(3n+2)+(1/3)/(3n-1)` `a_n=1/(3(3n-1))-1/(3(3n+2))` Now we can write down the n'th partial sum of the series as: `S_n=(1/(3(3-1))-1/(3(3+2)))+(1/(3(3*2-1))-1/(3(3*2+2)))+..........+(1/(3(3n-1))-1/(3(3n+2)))` `S_n=(1/6-1/15)+(1/15-1/24)+.........+(1/(3(3n-1))-1/(3(3n+2)))` `S_n=(1/6-1/(3(3n+2)))` `sum_(n=1)^oo1/(9n^2+3n-2)=lim_(n->oo)S_n` `=lim_(n->oo)(1/6-1/(3(3n+2)))` `=1/6`

The scene where Juliet tries to explain to her father why she does not want to marry the Count Parris helps to show what kind of a relationship Lord and Lady Capulet have.  Lady Capulet seems to be a somewhat afraid of her husband's temper, and rightly so given how out of control he becomes a moment later, when she tells Juliet that Juliet can tell him herself that she rejects the marriage he has negotiated for her to County Paris, "And see how he will take it at [her] hands" (3.5.130).  At first, she seems to sort of abandon her daughter to her husband's anger, telling him that "[She] would the fool were married to her grave" since Juliet has chosen to be disobedient (3.5.145).  It seems like she is trying to show him that she sides with him, perhaps, again, because she fears his wrath if she should disagree.  This hardly seems to be a sign of a loving relationship. However, Lord Capulet explodes, shouting and threatening his daughter, prompting his wife to...

The poem "The Eagle" by Alfred Lord Tennyson is often admired as much as the majestic bird itself. From the very beginning in the first line "He clasps the crag with crooked hands" readers see imagery suggesting strength and the language of leadership, courage and perseverance. They feel that they are looking at a master of bravery and skill. For example, the word "clasps" is a firm, secure and energetic word, suggesting power and control. Indeed, it is often said that when wanting to impress new people with a sense of professionalism and capability, a prospective employee should always be sure to employ a very firm handshake to prospective superiors. The word "crag" is also a solid and timeless one, suggesting strength, timelessness and bold bravery as crags are associated with breathtakingly high mountainous regions. Any creature that has effortless mastery of the skies and sharp mountain scarps must surely be worth following as an ideal. Allit...

Robert Frost (1874-1963) is an American poet, winner of four Pulitzer Prizes and was poet laureate of the United States from 1958-1959.  It is without a doubt Frost's move to England that gave him the resolve to continue writing despite difficulties in his life.  His wife Elinor was a constant source of inspiration throughout his life until her death in 1938 from cancer.  Perhaps without the momentous move to England Frost would never have found the courage to chase after his dreams and become one of the greatest poets the literary world has ever known. Frost lived his early years in San Francisco until his father died.  He moved to Massachusetts and became interested in writing.  He attended several colleges, but never obtained a full college degree.  In 1895 Frost married Elinor White, with whom he shared valedictorian honors in high school.  The young couple attempted farming in New Hampshire, which ultimately proved a failure after twelve years.  Unfortunately their personal li...

The main plot of Shakespeare's  The Merchant of Venice  is the Antonio-Bassanio-Shylock plot, in which the merchant Antonio borrows money from the Jewish moneylender Shylock in order to fund Bassanio's courtship. Along the way, Shylock convinces Antonio to agree to giving him a pound of flesh if he can't pay back the loan. This plot is the main focus of the story, but it also relies on two subplots to progress. First of all, there is the subplot involving Portia, her suitors, and the three caskets. In this subplot, a series of suitors try to guess the correct casket and win the right to marry Portia, a rich heiress. This subplot is interwoven with the main plot because Portia is the woman Bassanio aims to woo, and so Antonio only borrows the money from Shylock in order to help Bassanio fund his attempt to win the heiress of Belmont's love.  Second, there is a subplot involving Lorenzo, a friend of Bassanio and Antonio, and Jessica, Shylock's daughter. Lorenzo and Je...

After asking Bob Ewell about whether or not he went for a doctor, Atticus then asks Bob to confirm Sheriff Tate's account of Mayella's injuries. Bob Ewell answers that he thoroughly agrees with the Sheriff's account. Next, Atticus asks Bob whether he can read and write, to which Bob Ewell answers indignantly that he "most positively can." Atticus then asks Bob to write his name on a piece of paper in full view of the jury. Bob consents, and then Judge Taylor makes a most interesting observation: Bob is left-handed. At this, Bob realizes how much he has incriminated himself. If he is left-handed, and Mayella's black eye is on the right side of her face, then it follows that he may have beaten up his own daughter. Accordingly, Atticus asks Bob some more questions, but the text does not identify them for us.

Given , `int sqrt(1-x^2)/x^4 dx` By applying Integration by parts we can solve the given integral so, let `u= sqrt(1-x^2)` `,v' = (1/x^4) ` =>` u' = (sqrt(1-x^2) )'` => =`d/dx (sqrt(1-x^2)) ` let `t=1-x^2 ` so, `d/dx (sqrt(1-x^2))` =`d/dx (sqrt(t))` = `d/(dt) sqrt(t) * d/dx (t)`        [as `d/dx f(t) = d/(dt) f(t) (dt)/dx` ] =  `[(1/2)t^((1/2)-1) ]*(d/dx (1-x^2))` =  `[(1/2)t^(-1/2)]*(-2x)` =`[1/(2sqrt(1-x^2 ))]*(-2x)` =`-x/sqrt(1-x^2)` so,  `u' = -x/sqrt(1-x^2)` and as ` v'=(1/x^4)` so `v = int 1/x^4 dx ` = `int x^(-4) dx` = `(x^(-4+1))/(-4+1) ` =`(x^(-3))/(-3)` = `-(1/(3x^3))` so , let us see the values altogether. `u= sqrt(1-x^2) ,u' = -x/sqrt(1-x^2)` and` v' = (1/x^4) ,v=-(1/(3x^3))` Now ,by applying the integration by parts `int uv' ` is given as  `int uv' = uv - int u'v` then, `int sqrt(1-x^2)/x^4 dx ` = `(sqrt(1-x^2)) (-(1/(3x^3))) - int (-x/sqrt(1-x^2))(-(1/(3x^3))) dx ` = `(sqrt(1-x^2)) (-(1/(3x^3))) -(- int (-x/sqrt(1-x^2))((1/(3x...

The story takes place during WWII at the Auschwitz concentration camp which was located in Southern Poland, thirty-seven miles West of Krakow. "Out-With," as Bruno refers to it, was opened in May of 1940 and was both a concentration and extermination camp where Jews, Gypsies, German political prisoners, POWs, homosexuals, and Jehovah's Witnesses were imprisoned as part of Hitler's "Final Solution." Throughout the novel, Bruno's father is the Commandant of the Auschwitz concentration camp who is in charge of the systematic extermination of Jewish prisoners. The setting of the novel is around 1943 and follows the nine-year-old protagonist's experience at his new home at "Out-With." Following Bruno's unfortunate death, the Commandant loses his mind and is relieved of his position. Historically, Auschwitz was liberated in January 1945 by Soviet troops, forcing the Nazi SS officers and 60,000 prisoners to evacuate the camp. 

In Chapter 8, Daniel returns to the mountain after suffering a serious injury inflicted by a Roman soldier. Samson is patiently waiting for Daniel when he spots him struggling to climb a steep hill. Samson walks down the mountain and carries Daniel back to the cave. Samson does not allow Daniel to stand on his feet for three days so that he can rest. Speare describes Samson as a "vast shadow" that shelters Daniel. Samson goes out his way to bring Daniel water mixed with wine and takes the choicest bits of meat to feed him. Samson's attitude towards Daniel demonstrates his loyalty to him, and the rest of Rosh's men seem relieved that Daniel is back. Although Speare does not directly comment on Daniel's feelings concerning Samson's special treatment, one can imagine that Daniel does not like the attention. Daniel is a self-reliant, independent individual. He does not enjoy being the center of attention and does not appreciate the fact that he receives special tr...

Throughout  The Catcher in the Rye , Holden rejects the consumerism that makes up much of the post-World War II "American dream." He makes several comments throughout the novel in which he rejects the American need for things like cars, suits, and suitcases. He explains his dislike for these material good concisely to Sally Hayes: I hate living in New York and all. Taxicabs, and Madison Avenue buses, with the drivers and all always yelling at you to get out at the rear door, and being introduced to phony guys that call the Lunts angels, and going up and down in elevators when you just want to go outside, and guys fitting your pants all the time at Brooks. Holden does not want to be like his father, who is a "corporation lawyer" making enough money to live in an apartment near Central Park and "always investing money in shows on Broadway." Despite the financial success of his father and brother, who has gone from literary author to screenwriter, the Caulfie...

George Wallace changed his political strategy of the 1950's after losing the race for governor. At that time he was considered a racial moderate, who, if anything, leaned toward the liberal side. But, after his opponent defeated him, Wallace realized that he had been defeated because of underlying racial preferences that his opponent supported. After his defeat in 1958 for the position of Governor of Alabama, Wallace sat for a long time in his car, chewing his cigar and pondering his loss. He had been supported by the NAACP while his opponent was backed by the KKK. But, the 1954 Supreme Court decision of Brown v. Board of Education,  which ruled that segregated schools were unconstitutional, caused many of the citizens of Alabama, who perceived Wallace to be soft on the race issue, to vote against him. Realizing the reason for his defeat, Wallace vowed that no one "will ever out-n****r me again." So, four years later, he ran as a racial reactionary in the gubernatorial ra...

Maclaurin series is a special case of Taylor series that is centered at c=0. The expansion of the function about 0 follows the formula: `f(x)=sum_(n=0)^oo (f^n(0))/(n!) x^n`  or `f(x)= f(0)+(f'(0))/(1!)x+(f^2(0))/(2!)x^2+(f^3(0))/(3!)x^3+(f^4(0))/(4!)x^4 +(f^5(0))/(5!)x^5+...` To determine the Maclaurin series for the given function `f(x)=cosh(x)` , we may apply the formula for Maclaurin series. To list `f^n(x),`  we may follow the derivative formula for hyperbolic trigonometric functions:  `d/(dx) cosh(x) = sinh(x)` and  `d/(dx) sinh(x) = cosh(x). ` `f(x) =cosh(x) ` `f'(x) = d/(dx) cosh(x)= sinh(x) ` `f^2(x) = d/(dx) sinh(x)= cosh(x)` `f^3(x) = d/(dx) cosh(x)= sinh(x)` `f^4(x) = d/(dx) sinh(x)=cosh(x) ` `f^5(x) = d/(dx) cosh(x)=sinh(x)` `f^6(x) = d/(dx) sinh(x)=cosh(x)` Note: When n= even then `f^n(x)=cosh(x)`. When n= odd then `f^n(x)=sinh(x)`. Plug-in `x=0` on each `f^n(x)` , we get: `f'(0) =cosh(0)=1` `f'(0) =sinh(0)=0` `f^2(0) =cosh(0)=1` `f^3(0) =sinh(0)=0` `f^4(...

Given equation is `yy'-2y^2=e^x` => `y' -2y=e^x y^(-1)` An equation of the form `y'+Py=Qy^n` is called the Bernoulli equation . so, to proceed to solve this equation we have to transform the equation into a linear equation form of first order as follows =>` y' (y^-n) +P y^(1-n)=Q` let `u= y^(1-n)` => `(1-n)y^(-n)y'=u'` => `y^(-n)y' = (u')/(1-n)` so , `y' (y^-n) +P y^(1-n)=Q` => `(u')/(1-n) +P u =Q ` so this equation is now of the linear form of first order Now, From this equation , `y' -2y=e^x y^(-1)` and `y'+Py=Qy^n` on comparing we get `P=-2 Q=e^x , n=-1` so the linear form of first order of the equation `y' -2y=e^x y^(-1) ` is given as => `(u')/(1-n) +P u =Q ` where `u= y^(1-n) =y^2` => `(u')/(1-(-1)) +(-2)u =e^x` => `(u')/2 -2u=e^x` => `(u')-4u = 2e^x` so this linear equation is of the form `u' + pu=q` `p=-4 , q=2e^x` so I.F (integrating factor ) = `e^(int p dx) = e^(int -4dx) = e^(-4...

Luckiest Man,  by Jonathan Eig, is about the famous baseball player Lou Gehrig, his life, and his struggle with Amyotrophic Lateral Sclerosis. ALS is a progressive neurodegenerative disease, meaning that the nerves of the body weaken and break down progressively over time. ALS is not a disease that one "gets" in the same way that one catches a cold or the flu. Rather, the condition is the result of genetic and environmental factors. Some people inherit a genetic mutation which causes the onset of ALS, but the "sporadic" form is much more common. Lou Gehrig was most likely one of the people who developed the sporadic form, but if anyone in his family had passed on the ALS gene to him, it was not diagnosed or reported. In more recent years, it has been suggested that Gehrig may have developed ALS out of an underlying genetic predisposition which was exacerbated by brain trauma associated with his career in baseball.

This is a personal response question.  It is up to you how you would like to go about writing five poems that deal with the book  Chains.   Personally, I would start out by figuring out which type of poem you would like to write.  You can pick anything, but I recommend the poetry style somehow fit with Isabel and her situation.  I would choose haiku. A haiku is three lines long.  The first and third lines have five syllables.  The second line has seven syllables.  It doesn't even have to rhyme. Traditionally, a haiku emphasizes "simplicity, intensity, and directness of expression."  That would work well for  Chains,  because Isabel's situation is intense.  Madam Lockton is a horrible slave owner, and Isabel suffers greatly because of it. Madam Lockton has Isabel branded on the face at one point.  Madam Lockton also has a nasty habit of making sure that Ruth and Isabel say as  little as possible.  A haiku works for Isabel's situation because it forces you to say...

Given to solve `int x(sqrt(x-5))dx` let `u = x-5` `du = dx ` and `x= u+5` so , `int x(sqrt(x-5))dx = int (u+5)u^(1/2) du` =` int [u^(3/2)+5u^(1/2)] du` = `int u^(3/2) du +int 5u^(1/2) du` = `(u^((3/2)+1))/((3/2)+1) +5 int u^(1/2) du` = `u^(5/2)/(5/2) +5 (u^((1/2)+1))/((1/2)+1) + C` =`u^(5/2)/(5/2) +5 u^(3/2)/(3/2) + C` =(`2/5)u^(5/2) + (10/3)u^(3/2) + C` =`2/5(x-5)^(5/2) + 10/3(x-5)^(3/2) + C`

Public policy is usually divided first into foreign and domestic policy, where domestic policy involves your own country and foreign policy involves your relationship with other countries. Then, domestic policy is subdivided into social policy and economic policy, where economic policy is about inflation, unemployment, taxes, and market regulation, while social policy is about everything else, including women's rights, racial equality, environmental regulations, and a variety of other issues. Social policy is sort of a catchall term that deals with any issue of public policy that involves the general welfare of a society but doesn't have a clear connection with macroeconomics. In practice these distinctions are often not clear-cut. Some would consider trade agreements to be economic policy, others to be an aspect of foreign policy. Social insurance and public healthcare systems (such as Social Security and Medicare) could be considered either economic or social policy. Often a ...

There were many reasons for this, actually.  The first reason dates back to WWI and the immediate fallout from the Russian Revolution.  America wanted Russia to stay in the war against the Germans after WWI and for a time, the United States sent aid to the republican government in Russia so that it might keep fighting; however, the war became so unpopular in Russia that the communists had no problems convincing the soldiers to rebel and help their cause.  The United States sent troops to the Russian civil war to guard supplies that might be used by the White Army, the side that was czarist and favored a restoration of the Romanov dynasty.  This marked the beginning of Soviet-American distrust.  The White Army ultimately failed, and America pulled its troops out, but would not extend full diplomatic recognition to the Soviet Union until 1933. After WWI, it appeared as though Communism was spreading in Europe, as leftist governments attempted to spread in Germany and France.  There was e...

It is important to first understand that individuals, groups, and structures make up an organization, and that these entities impact the human behavior of that organization. As management is one of the disciplines of organizational behavior (along with communication, psychology, and sociology), it is particularly relevant because of the issues managers face. In a manager’s day-to-day duties, many responsibilities come into play: decision-making, how to build, keep, and motivate a team, how to be a leader, and how to create and maintain job satisfaction.  In order to be a successful manager, it is critical and incumbent upon that manager to understand how to delegate job tasks and organize resources, and also how to look at and analyze the behavior of employees and motivate them. Organizational behavior analyzes organizations from many points of view. It takes into account the fact that whenever people interact in organizations, many factors come into play.  With this understanding, ind...

To determine the convergence or divergence of a series `sum a_n` using Root test , we evaluate a limit as: `lim_(n-gtoo) root(n)(|a_n|)= L` or `lim_(n-gtoo) |a_n|^(1/n)= L` Then, we follow the conditions: a) `Llt1` then the series is  absolutely convergent . b) `Lgt1` then the series is  divergent . c) `L=1` or  does not exist   then the  test is inconclusive . The series may be divergent, conditionally convergent, or absolutely convergent. We may apply Root test on the given series `sum_(n=1)^oo n(6/5)^n` when we let: `a_n=n(6/5)^n` . Then, set-up the limit as: `lim_(n-gtoo) |n(6/5)^n|^(1/n) =lim_(n-gtoo) (n(6/5)^n)^(1/n)` Apply Law of  Exponents: `(x*y)^n = x^n*y^n` and (x^n)^m = x^(n*m). `lim_(n-gtoo) (n(6/5)^n)^(1/n)=lim_(n-gtoo) n^(1/n) ((6/5)^n)^(1/n)`                                `=lim_(n-gtoo) n^(1/n) (6/5)^(n*1/n)`                                ` =lim_(n-gtoo) n^(1/n) (6/5)^(n/n)`                                `=lim_(n-gtoo) n^(1/n) (6/5)^1`                                ...

Transpiration is the process by which water evaporates from the leaves of plants. Transpiration is a part of the water cycle, and allows water to be recycled over and over by numerous organisms over time. Water is carried through the plant's vascular system beginning in the roots and moving upward through the stem and to the leaves. A plant's leaves have small holes on their bottom surface called stomata (or  stoma  singular). These holes open and close to allow water to evaporate out of the plant. The water exits the stomata and enters the earth's atmosphere as vapor. Depending on factors such as temperature, humidity, sunlight, wind, and water availability, the plant will release a certain amount of water via transpiration. These factors combined with the particular type of plant determine the amount of water released via transpiration. Desert plants, for example, retain much more water than plants in wetter ecosystems. The stomata open and close to regulate the amount of...

The charge balance equation simply says that if you start with an equal number of positive and negative charges (which most substances have), you will end with an equal number of positive and negative charges. So a solution made up of neutral components must itself be net neutral; any positive ions must be matched exactly with an equal quantity of negative ions. The force here is just a matter of plugging into the equation, watching our units carefully (especially our molarity M, which is mol/L: `F = (0.224 {lb}/N) (-8.988*10^{9} N/C^2/m^2) * ((10^{-6} {mol}/L) * (9.648 * 10^{4} C/{mol}) * (0.250 L) * (10^{-6} {mol}/L) *(9.648 *10^{4} C/{mol}) * (0.250 L))/(1.5 m)^2 ` `F = 0.201 * 10^{9} * (2.412*10^{-2})^2 / (1.5)^2 lb` `F = 5.20 * 10^{4} lb` This is huge amount of force; the beakers would crash into each other. What this means for the charge balance equation is that theoretically one could separate the positive and negative ions, but it requires an enormous amount of force, and would...

That's what Brian wants to know, too, in Chapter 16 when he feels that the moose has attacked him for no reason at all. It's senseless, he thinks, and insane for the moose to have charged him: So insane, he thought, letting sleep cover the pain in his chest—such an insane attack for no reason and he fell asleep with his mind trying to make the moose have reason.  Long after this incident, Brian continues to think of the moose attack as something crazy, something that could not be explained rationally by finding a cause for it. Even after he gets home and is able to research the things he didn't know during his time in the wilderness, like the real name ("grouse") of the creatures he'd called "foolbirds," he still doesn't know why the moose had attacked him. Brian does accept, however, that nature's power is sometimes random and cruel. That's what he learned from the moose attack as well as the tornado that hit his shelter while he was sti...

Events and Theme At its core, "Damon and Pythius" is a tale about the power of friendship. Damon and Pythias are such close friends that it was said that one would never betray the other. Even if such a betrayal had occurred, the friends shared such an intimate bond that neither of them would have believed or accepted the truth. It is this very bond that is tested when the cruel tyrant Dionysius falsely accuses Pythius of treason. After sentencing Pythius to execution, the man begs for a few days to settle his affairs and ensure that his family will be taken care of. Dionysius agrees only under the condition that Pythius will send a hostage to be executed in his place if he flees. Without hesitation, Damon arrives to serve in his friend's place as Dionysius' prisoner. Dionysius at first believes that Damon is a fool who is being taken advantage of, but the other man insists that his friend would never betray him. As the days pass, the hour to the execution grows neare...

One of the most significant pieces of evidence that it is the old man's vulture eye that seems to compel the narrator to kill him is that the narrator admits to having no other motive for murder.  He says, Object there was none. Passion there was none.  I loved the old man.  He had never wronged me.  He had never given me insult.  For his gold I had no desire.  I think it was his eye! yes, it was this! In other words, he does not look to gain anything by committing the murder: he is not planning to rob the old man of his fortune or to inherit it upon the old man's death.  Likewise, the narrator does not feel any hatred or ill-will toward the old man; in fact, he says that the narrator has never done anything wrong to him or injured him in any way. There is simply no other reason to kill him. Once he lands on the idea that it is the old man's eye that spurs him to murder, he describes it in great detail, saying, in part, "Whenever it fell upon me, my blood ran cold; and...

While the comfort object appears to serve a more significant purpose for an individual than it does for society as a whole, let's look at how it serves  purposes for each. First and foremost, it is used to comfort individual infants. In our society we would call the comfort object something like, "his favorite teddy bear." In their community, it is less personalized by name and is also taken away from the child at a predetermined age, perhaps because they view it is a crutch preventing further growth at an older age. So, the purpose it serves for an individual is simply to soothe an infant. For society, the argument could be made that it serves the purpose of providing a measurable level of affection and comfort. In this community it appears that being able to quantify things is important, so this comfort object could be seen as just one more item on a checklist of "good nurturing." If a child did not bond with the comfort object, I could also see where this par...

Since the protagonist is the central character in a literary work, Booth fits this role because he becomes more developed as a character than the others. Unlike some protagonists, however, Booth is no hero; instead, he is morally weak, and even possesses evil traits. For one thing, Booth manufactures his own antagonist in Lincoln since he often perceives his brother as an adversary when he is not. Certainly, he blames his dissatisfaction with his life on his brother--not unlike his namesake and that man's attitude about Abraham Lincoln. In one scene, for instance, as the brothers are having supper, Booth recalls the day his mother packed her things and abandoned them. He irrationally places blame upon his brother for his sense of abandonment since he was alone after she left. (He was truant that day whereas Lincoln had gone on to school.)  Further, when Booth wants to become a dealer of three-card monte, he blames his brother for not helping him learn how to "hustle," des...

Applying  Root test  on a series `sum a_n` , we determine the limit as: `lim_(n-gtoo) root(n)(|a_n|)= L` or `lim_(n-gtoo) |a_n|^(1/n)= L` Then, we follow the conditions: a) `Llt1` then the series is  absolutely convergent . b) `Lgt1` then the series is  divergent . c) `L=1` or  does not exist   then the  test is inconclusive . The series may be divergent, conditionally convergent, or absolutely convergent. For the given series `sum_(n=1)^oo(2root(n)(n)+1)^n` , we have `a_n =(2root(n)(n)+1)^n` . Applying the Root test, we set-up the limit as:  `lim_(n-gtoo) |(2root(n)(n)+1)^n|^(1/n) =lim_(n-gtoo) ((2root(n)(n)+1)^n)^(1/n)` Apply the Law of Exponents: `(x^n)^m= x^(n*m)` . `lim_(n-gtoo) ((2root(n)(n)+1)^n)^(1/n) =lim_(n-gtoo) (2root(n)(n)+1)^(n*(1/n))`                                       `=lim_(n-gtoo) (2root(n)(n)+1)^(n/n )`                                       `=lim_(n-gtoo) (2root(n)(n)+1)^1`                                       `=lim_(n-gtoo) (2root(n)(n)+1)` Evaluate the limit. `...

To evaluate the given series `sum_(n=2)^oo 1/(nsqrt(n^2-1))` , we may apply Integral test to determine the convergence or divergence of the series. Recall Integral test is applicable if f is a positive and decreasing function on interval `[k,oo)` where `kgt=1` and `a_n=f(x)` . If `int_k^oo f(x) dx` is convergent then the series `sum_(n=k)^oo a_n` is also convergent. If `int_k^oo f(x) dx` is divergent then the series `sum_(n=k)^oo a_n` is also divergent. For the  series `sum_(n=2)^oo 1/(nsqrt(n^2-1))` , we have `a_n=1/(nsqrt(n^2-1))` then we may let the function: `f(x) =1/(xsqrt(x^2-1))` The graph of the function is:  As shown on the graph, f(x) is positive and decreasing on the interval `[2,oo)` . This confirms we may apply the Integral test to determine the converge or divergence of a series as: `int_2^oo1/(xsqrt(x^2-1)) dx= lim_(t-gtoo)int_2^t1/(xsqrt(x^2-1))dx` To determine the indefinite integral of `int_2^t1/(xsqrt(x^2-1))dx` , we may apply the integral formula for rational functi...

The Crusades occurred over a period of about two centuries and there is some debate about which events deserve to be included as part of the Crusades. Due to these factors and the general imprecision of historical records in the Midlde Ages, the precise number of people involved on each side of the various conflicts is disputed. That said, we do have some approximate numbers; it is believed that somewhere between 1 million and 9 million people died on all sides during the total of all the Crusades. Deaths appear to have been about evenly split between the Christian and Muslim factions, and army sizes also appear to have been comparable. Casualty rates in the Crusades were extraordinarily high (probably due to the religious fanaticism and quasi-genocidal intent motivating them), so as many as 50% to 75% of soldiers deployed died. This means that the total number of soldiers on both sides was somewhere between 1.25 million and 18 million. Thus, the number of Muslim soldiers in particula...

This question requires us to understand each of these four types of seismic wave. Once we know how each one works, we can see which one best fits the description of a surface wave that vibrates at right angles. P-waves propagate longitudinally; that is, the vibration is along a line parallel to the direction in which the wave propagates. So that can't be the answer. S-waves propagate transversely; that is, at right angles to the direction of motion. However, they are body waves that propagate across the entire body of rock, not surface waves as the question asked. So that can't be the answer either. Love waves also propagate transversely, and furthermore they are surface waves; so this is most likely the answer. But let's see about the fourth option, just in case. Rayleigh waves propagate both transversely and longitudinally, and they are surface waves as well. So while this could be an answer, it's not the best answer because love waves are only transverse while Rayl...

Tobe, the manservant in Faulkner's "A Rose for Emily," is perhaps the only character in the story who is more mysterious than Emily. Because he has such an intimate relationship with Emily, living with her and serving her every day, he is also the only character who might have the answers to some of the mysteries surrounding Emily.  Tobe also is a subtle glimpse into the racist political underpinnings and history of the South, where this story takes place. As an older man, Tobe has most likely been with Emily's family for a long time. As an older black man, he is connected to the South's violent history of slavery, and was most likely born a slave, perhaps on a plantation that Emily's father owned. Thus, Tobe represents the ways in which Emily is hanging on to this past and refusing to change along with the times.  The fact that Tobe is mostly silent throughout the story, even though he is such an important character, speaks to the ways in which the white town...

Alexandra does not feel that Calpurnia is needed since Alexandra is there, and she considers herself a better person to raise Scout and Jem.  Scout doesn’t really care for her Aunt Alexandra.  Alexandra complains about her wearing overalls and generally disapproves of her.  She has also been heard to say very derogatory things about Atticus, since he is defending a black man.  Like many in Maycomb, Alexandra’s response to this is racist.  When the trial is getting underway, Alexandra just shows up one day at the Finch house.  She is there to help her brother.  Despite her comments about Atticus defending Tom Robinson, Alexandra does care about her brother and wants to support him.  Unfortunately, Alexandra does not feel that Calpurnia should remain since she is there.  Alexandra does not feel that Scout and Jem are being properly raised, since Atticus does not have a wife and the children are on their own with Calpurnia.  She tries to get Atticus to let her go.  “Atticus, it’s all righ...

The main conflict faced by Marcus in Cory Doctorow's Little Brother is the Department of Homeland Security falsely accusing him of involvement in a terrorist attack. Marcus is intensely interrogated by DHS agents for a week, and he is furious when upon his release they inform him they will be surveilling him because he is still a suspect. Marcus is angry at the violation of his privacy, and believes that this surveillance deprives him of the freedoms promised by the Bill of Rights. Marcus uses his skills in technology to thwart the attempts of the DHS to spy on him; for example, he creates a communication network with his friends using game consoles, which the state cannot access. When Marcus speaks to a reporter about the way the government had treated him, the DHS again puts him in custody and waterboards him. The police raid the DHS compound when they discover the actions of its agents, and Marcus is freed from government surveillance.

The beginning of Act I, Scene 1 is a prime example of the hatred and disorder which is prevalent on the streets of Verona because of the bitter feud between the Montagues and Capulets. The Capulet servants, Gregory and Sampson, have nothing better to do than walk the streets describing how they would like to rape the Montague women and, when they come across the Montague servants, are quick to resort to demeaning insults (biting their thumbs) in order to instigate a fight. The hatred is increased when Tybalt, Juliet's cousin, comes on the scene and threatens to kill Benvolio, who is attempting to calm the situation. Rather than agree to peace, Tybalt expresses his intense acrimony: What, drawn and talk of peace? I hate the word As I hate hell, all Montagues, and thee. Have at thee, coward! The brawl is eventually broken up when the Prince arrives on the scene. The consequence of this disorder is that the Prince declares that further fighting in the streets will be punished by death...

Sometimes we create rules in response to something that has happened, to prevent it from happening again. That is what occurs in The Giver .  When Rosemary was chosen as the Receiver, there was no rule that forbade her asking for release.  After five weeks of memories from the Giver, including various kinds of emotional pain such as loneliness and loss, she could not bear to go on. After getting the last memory the Giver gave her, of "a child being taken from its parents" (142), Rosemary asked the Chief Elder to allow her to be released. She could not bear to live with such feelings.  When Rosemary was released, all of her memories were released, too, into the general community, where people suffered a great deal, unaccustomed to dealing with any kind of emotional pain. So when Jonas is selected, this new rule is added, to prevent Jonas from asking for release that would expose the community to this pain again. 

In this poem, the persona fed his anger by burying it inside of himself. In the first stanza, he contrasts this approach with his better behavior toward his "friend." When the persona becomes angry at his friend, he discusses it with him and, as a result, gets over it. However, when he grows angry at his foe, or enemy, he doesn't tell him about it. In addition to not expressing his anger to his enemy, the persona feeds his anger in other ways: he dwells on his anger all the time, never letting it go and in fact, grows more fearful of his foe. As he puts it, he "water'd" his growing fear "night and morning" with his "tears." He also feeds his anger by pretending to be nice to his enemy, all the while inwardly seething.  The poem expresses how poisonous it is to nurse a grievance and how destructive that can be. 

Jefferson says that he and the other members of the Continental Congress (the document was of course a joint statement) would, out of a "decent respect to the opinions of mankind," would declare the reasons, or "causes" that the colonists were declaring their independence. The causes were both ideological--Jefferson spends the next paragraph explaining the social contract theory that the revolutionaries cited in support of independence--and pragmatic. While the most famous part of the document is the statement of principles, namely that "all men are created equal," Jefferson devoted far more of the document to a series of accusations against King George. These ranged from his refusal to approve laws that were beneficial to the colonies to his alleged incitement of Native Americans against the revolutionaries after 1775. The idea was that this "long train of abuses" justified separation from the mother country, which was a big step to take.

Due to India's political and financial instability during the mid-1970s, Pi's father decides that it is best to sell the Pondicherry Zoo and move his family to Canada. Mr. Patel can't sell all of the animals to one zoo in particular, though. He has to sell off different animals to different zoos, which turns out to be a huge international project. By the end of Part One, the Patel family, along with most of the zoo animals, boards the Japanese ship Tsimtsum  on June 21, 1977. For the Patel family, they are not just moving; they are changing cultures. They are moving away from their ancestral country to a new home in an unfamiliar country. At the end of Part One, Pi says the following: "I wildly waved goodbye to India. The sun was shining, the breeze was steady, and seagulls shrieked in the air above us. I was terribly excited. "Things didn't turn out the way they were supposed to, but what can you do? You must take life the way it comes at you and make the bes...

"Harrison Bergeron" depicts a dystopian future in which "equality" is misunderstood and enforced in an oppressive way. In American history, the idea of equality that great American thinkers and philosophers have supported is that every American should have the same opportunities to succeed: "life, liberty, and the pursuit of happiness." If the government decides to limit any of those "unalienable rights" (as it says in the "Declaration of Independence"), then the people's freedoms have been taken away. The correct way to ensure equality without interfering with freedom is to encourage success and put infrastructure in place to help and motivate those who are born into situations which limit their opportunities. In this story, the government has not done this. Their idea is to enforce equality by handicapping talented people and preventing those with less talent from bettering themselves. It is also a society obsessed and placated by...

Annemarie takes the packet because no one will suspect a little girl. Peter and Annemarie’s parents are preparing the Jews for their escape to Sweden. They are pretending that Annemarie’s Great-aunt Birte died to explain why all of the people are gathered, but there is no person in the coffin. It contains clothing and blankets for the escapees.  Annemarie watches her mother help the people get ready. They all get food, blankets, and warm clothes. They give the baby something so it will sleep, in case the crying might alert someone.  "I want you to deliver this. Without fail. It is of great importance." There was a moment of silence in the hall, and Annemarie knew that Peter must be giving the packet to Mr. Rosen (Chapter 11). Peter, who is a Resistance member, tells Mr. Rosen he is not going to go all the way to the boat. Once he gets his group to the boat, he has to go on. Peter doesn’t tell Mr. Rosen what’s in the packet, and Annemarie realizes he is protecting Mr. Rosen by...

The short answer would be that her faith enables Dilsey to maintain her strength.  She has, indeed, "seed the first and de last," whether that refers to the Compson children or to a more spiritual truth.  But Dilsey is also a version of the Faulkner family's own servant, Caroline "Mammy Callie" Barr,  whom, according to Jay Parini's Faulkner biography, One Matchless Time , Faulkner described as "'a fount not only of authority and information, but of affection, respect, and security.'"  Faulkner went on to say that she had been "'born in bondage ... a dark and tragic time for the land of her birth,' and 'went through vicissitudes which she had not caused.' Through all of this, she 'assumed cares and griefs which were not her cares and griefs,' accepting whatever trials and trevails befell her 'without cavil or calculation or complaint.'"  If Dilsey is the representation of Mammy Callie, who in many w...

Red Chief's real name is Johnny Dorset. Bill and Sam kidnapped the young boy from Ebenezer Dorset because they believed that the man would pay the big ransom demand to get his son back. Unfortunately for Bill and Sam, Johnny Dorset is more than a handful. The boy turns the tables on his captors, and Bill and Sam look for just about any opportunity to get rid of the kid. The two kidnappers write the ransom letter to Mr. Dorset, but instead of paying the ransom, Mr. Dorset offers the kidnappers an alternative proposal. He wants Bill and Sam to pay  him $250 dollars to take his own son back. Bill and Sam think that is a great deal.  "We’ll take him home, pay the ransom and make our get-away." The two men return Johnny Dorset at midnight, pay Ebenezer the money, and run as fast as they can out of town. It was just twelve o’clock when we knocked at Ebenezer’s front door. Just at the moment when I should have been abstracting the fifteen hundred dollars from the box under the ...

The Agrarians were fiercely opposed to industrialization, especially in the South, but really just about anywhere. They considered it a grave sin against both man and God to take human beings away from their "natural" stewardship of the land as farmers and make them work in factories and live in cities. They thought that industrialization would destroy arts and culture and reduce human beings to little more than machines, preoccupied with efficiency in production above all else. They viewed industrialization as degrading, dehumanizing, and destructive, and they hearkened back to a "simpler" way of life where people lived off the land. Of course, this peaceful agrarian past they wanted to go "back" to was largely imaginary, or else limited to a very small portion of the population. The only reason the upper class could live so comfortably in an agrarian economy in the South was the fact that farms were largely operated by millions of workers who made very l...

The irony of the ending of "The Gift of the Magi" is the fact that both Della and Jim unselfishly sacrificed their most prized possessions in order to purchase gifts that the other would be thrilled about receiving, but each of them sacrificed the very thing for which the other bought the gift. So, neither can use his/her Christmas present. After counting her money--one dollar and eighty-seven cents--and realizing that she does not have enough for the gift which she wishes to purchase for her husband, Della is disconsolate. She wants to buy something ...just a little bit near to being worthy of the honor of being owned by Jim. After she passes the pier glass, Della suddenly has an idea: She can sell her hair to Madame Sofronie. With this happy plan, Della hurries out while Jim is still gone.  By the time Jim arrives, she has bought the gift worthy of him: a platinum fob chain for his gold watch that he inherited from his grandfather. Excitedly, Della uses the curling iron on ...

This is, of course, a matter of opinion. My own view is that John is not disrespectful in “By the Waters of Babylon” because he does not truly defy his father’s advice or the law. His father repeats the law to him, but clearly accepts the idea that John is going to break the law. While John does break the letter of the law, he seems to accept the spirit of the law, and he breaks it because he feels that it is, in a sense, his duty to do so. Early in the story, John does seem to disobey his father’s advice. He goes to his father and asks his blessing for the journey that he (John) is about to undertake. His father tells him It is forbidden to travel east. It is forbidden to cross the river. It is forbidden to go to the Place of the Gods. All these things are forbidden. John acknowledges what his father says and agrees with him, but he says that it was only his father's voice that spoke, not his spirit. In other words, he did not really mean it when he agreed with his father. It seem...

This article is about the judicial consequences of the Supreme Court case District of Columbia v. Heller (2008), in which the court held that the Second Amendment protects an individual's right to own a firearm and to use it for self-defense in the home. This article takes a social welfare perspective to consider the impact of this case on future court rulings on taxes and safety programs related to firearms. The first part of the article discusses the prevalence of gun ownership. The authors estimate that there are 200-250 million firearms in the U.S. (page 5). The authors also discuss the demographics of gun ownership and regulations related to gun ownership. Their review of regulation reveals that there is a layer of federal regulation and that state regulations vary across the country (page 15). The authors then review the Heller decision, which was the first successful challenge of the Second Amendment in the history of the court (page 17). In this case, the court allowed gu...

Johnny is the speaker, and he is saying that he wishes his parents paid more attention to him. Johnny says this, because he comes from a very dysfunctional household.  Like many kids who have been abused, he just wishes his parents would pay attention to him.  Johnny’s parents seem to ignore him a lot, and when they don’t ignore him they are demeaning him or hitting him. Johnny’s real family is the gang.  He has no problem wandering around late at night with Pony when Pony runs away after Darry hits him, because his own parents do not care where he is.   Pony and Darry fight, but Darry does not usually hit Pony.  He was frightened when Pony fell asleep and came home late, and he lost his temper.  Pony has had it with fighting with Darry, and leaves.  Johnny tells Pony that to him, being hit by his father is nothing. Johnny is trying to make Pony feel better about his bother hitting him, by telling him at least someone cares, but he is also expressing the fact that he feels he has no fa...

To say that Chapter 4 represents a turning point in the novel means that it marks some significant change in the plot or narrative. Nick begins this chapter by listing the usual guests at Gatsby's parties, and Gatsby and Nick spend some time alone together. Gatsby tells his ludicrously romantic story, which Nick can scarcely believe until Gatsby produces apparent evidence of this history: a photograph. Nick and Gatsby go into the city, and Gatsby introduces Nick to Meyer Wolfsheim. Later, Jordan explains the history between Gatsby and Daisy and how Daisy ended up marrying Tom Buchanan.  This chapter, then, really initiates the present story line between Gatsby and Daisy and sets into motion all the events which follow.  The chapter also begins to confirm some of our—and Nick's—suspicions about Gatsby's illegal activities, given the crowd he runs with and his sudden fortune. In other words, Gatsby becomes both more sympathetic and morally problematic in this chapter.  Perhap...

Harper Lee does not explicitly state whether or not Jem killed Bob Ewell during the struggle, but Sheriff Tate does suggest that Arthur "Boo" Radley stabbed and killed Bob Ewell with Bob's own knife. One reason to support the idea that Jem could not have killed Bob is the fact that Jem broke his arm during the attack. In Chapter 28, Scout comments, " We were nearly to the road when I felt Jem’s hand leave me, felt him jerk backwards to the ground. More scuffling, and there came a dull crunching sound and Jem screamed " (Lee 160). The crunching sound was Jem's arm breaking. It is hard to imagine that Jem, with a broken arm, was able to retrieve Bob's knife and stab him. Also, Scout mentions that someone was carrying Jem from the scene of the attack which indicates that Jem was incapacitated. When Scout arrives home, she thinks that Jem is dead because he is lying in his bed unconscious. The severity of Jem's injuries and his inability to function in...

The objectivity of truth has been the focus of many philosophers, including Nietzche, Plato, and Kierkegaard. To better understand the "objective conception of truth," let's break down the phrase into its individual components. First,  truth,   or that which is factual.  Conception  of truth is referring to how we understand and think about truth. Finally, the term  objective  refers to that which is not dependent upon personal thoughts or experiences- things which  are  regardless of how we perceive them, or if we perceive them at all. With that, the objective conception of truth implies that is a factual truth which we can come to understand, but which exists regardless of our own perceptions. The opposite would be subjective truth, which may be different for many people because it is based on personal perceptions.  The idea of objectivity has plagued numerous scholars because being human is a highly relative experience. For humans, no knowledge exists in a vacuum, safe...

Your first step in writing an essay at this level is reviewing the existing scholarship on the subject. This enables you to situate your own paper within the ongoing scholarly conversation and talk about what you are adding to it. This is absolutely essential at a postgraduate level. You should use the MLA International Bibliography to find links to existing scholarship; it should be available on your university website. For your approach, one common feminist issue is the relationship between women and insanity. This strand of feminism argues that when women rebel against the boundaries of patriarchal society, one way to dismiss the legitimacy of their attempts to empower themselves is to condemn it as a mental health problem, calling women who wanted equality or sexual freedom mentally disturbed to invalidate their desires by a sort of gaslighting. Foucault is especially important for an analysis of diagnosis and treatment of "insanity" as social control mechanisms. Also, th...

There are two concepts to address to answer this question: polarity and density. First, water is a polar molecule which means that one end (the oxygen end) has a slight negative charge and the other end (where the hydrogens are) has a slight positive charge. This is because oxygen is more electronegative and pulls the electrons closer to it than the hydrogens. As a lipid, butter is nonpolar and has an equal charge throughout the molecule. As a rule in chemistry, polar and nonpolar molecules do not mix, which explains why the butter stays together and will not mix with the water.  Second, the butter floats because it is less dense than water. Water has a density of 1 g/mL, and butter has a density of about 0.9 g/mL. This slight difference is enough for the butter to float. In order for any substance to sink in water its density must be greater than 1 g/mL.