Notes

The question is referring to events that happen in chapter seventeen of  Tuck Everlasting. Miles and Winnie are awake early that morning, and Miles offers to take Winnie with him while he fishes for breakfast. Late in the chapter, Miles hooks a fish and pulls it into the boat. Winnie is horrified and amazed at the same time. Winnie drew up her knees and stared at it. It was beautiful, and horrible too, with gleaming, rainbow-colored scales, and an eye like a marble beginning to dim even as she watched it. Winnie must be more horrified by the thought of the fish dying than anything else, because she insists that Miles put it back. The hook was caught in its upper lip, and suddenly Winnie wanted to weep. "Put it back, Miles," she said, her voice dry and harsh. "Put it back right away." I believe that Winnie asks Miles to put the fish back because she is sympathetic toward the fish. Not only fish, though—Winnie is sympathetic toward all life. She can't bear the th...

When Rainsford is still on the yacht with Whitney, they discuss hunting. Whitney suggests that while hunting is a great sport, it is not so great for the prey (in this case, the jaguar). Rainsford replies that he doesn't care about the jaguar's feelings. He adds, "The world is made up of two classes—the hunters and the huntees." Ironically, he ends up being the "huntee" when Zaroff forces Rainsford to become his prey. At this point, Rainsford finally understands the jaguar's feelings. In other words, he finally appreciates the fear one experiences while being hunted. Given this new appreciation, it is possible that, after killing Zaroff, Rainsford might swear off hunting forever. Since he knows the anguish of being hunted, he might decide never to put another living being through such an ordeal. The end of the story suggests otherwise, though. After defeating Zaroff, Rainsford sleeps in his (Zaroff's) bed. This suggests that he has become just like Z...

Bobby Gillian is a man in love and he seems to be willing to do anything to express that love, including giving up, first a thousand dollars and then fifty thousand dollars to the woman he loves without her ever knowing about it. As in another O. Henry short story, "Gift of the Magi", Gillian's generosity is quite in line with the best principles of Christianity. He knows that neither money nor appearing to be rich will win the heart of Miss Hayden. He is self-deprecating and magnanimous. He displays incredible generosity and a carefree style which indicates that for Gillian, love is more important than money. In the end, it is doubtful whether Miss Hayden will ever love Gillian. When he confesses that he loves her, she simply says she is sorry. Gillian, however, cannot resist giving her the money anyway. It is for him only important that she be happy. Although he is initially portrayed as irresponsible and somewhat of a bore, he turns out to be quite passionate and honor...

The Root Test says that this limit will converge if and only if the following limit (actually limit superior) is less than 1: `C = lim_{n rightarrow infty} |{n!}/{n^n}|^(1/n)` `C = lim_(n->oo) |{(n!)^(1/n)}/n|` Since `n! lt n^n` for `n gt 1` , `(n!)^(1/n) lt n` . Therefore this limit converges to 0, therefore the series converges.

We are asked to write the equation of the parabola with directrix y=5/12 and vertex at the origin: The equation for a parabola with vertex at the origin and focus (0,a) is `x^2=4ay ` Since the vertex is the midpoint of the perpendicular segment from the focus to the directrix we find the focus to be at (0,-5/12). The equation we seek is ` x^2=-5/3y `

 To evaluate the given integral problem:  `int_0^4 x/sqrt(3+2x)dx` , we determine first the indefinite integral function F(x). From the table of indefinite integrals, we may consider the formula for integrals with roots as: `int u/sqrt(u+-a) du = 2/3(u-+2a)sqrt(u+-a)+C`  Take note that we have "`+` " sign inside the square root on `int_0^4 x/sqrt(3+2x)dx`  then  we will follow:  `int u/sqrt(u+a) du = 2/3(u-2a)sqrt(u+a) +C.`  We may let `a = 3` and `u = 2x`  or `x= u/2` For the derivative of u, we get `du = 2 dx` or `(du)/2 = dx` . Plug-in the values: `u = 2x` or `x=u/2` ,and `(du)/2 = dx` , we get: `int_0^4 x/sqrt(3+2x)dx =int_0^4 (u/2)/sqrt(3+u)* (du)/2`                         `=int_0^4 (u du)/(4sqrt(3+u))`  Apply the basic properties of integration:` int c*f(x) dx= c int f(x) dx` . `int_0^4 (u du)/(4sqrt(3+u)) =1/4 int_0^4 (u du)/sqrt(3+u)` Apply the aforementioned integral formula from the table of integrals, we get: `1/4 int_0^4 (u du)/sqrt(3+u) =1/4*[2/3(u-2(3))sqrt(u+...

The Vietnam War was actually started under false pretenses--the  U.S.S. Maddox  was attacked off the coast of North Vietnam while electronically simulating an attack against radar defenses around Hanoi.  The United States reacted by mining Haiphong and bombing Hanoi.  In 1965, Lyndon Johnson escalated the war by sending in thousands more ground troops to fight alongside the South Vietnamese army.  The Vietnam War was not a traditional war because while there were set-piece battles, the North Vietnamese Army worked closely with the Vietcong in order to create chaos behind the front lines.  Robert McNamara, Secretary of Defense under Kennedy and Johnson, claimed that America was winning the war in terms of tons of bombs dropped and enemy kill counts.  This was the message on the nightly televised news.  However, in 1968, North Vietnam launched the Tet Offensive against American military bases and the embassy in Saigon.  While the offensive was turned back and the North Vietnamese lost he...

Some quotes that show Gregor's father has dehumanized him come from embedded flashback narration that provides (through indirect interior monologue) Gregor's memories of part of the family history. The family business had failed in the past and Gregor, with great pleasure, enthusiasm, and devotion, had at that time taken over all financial responsibility. After a while, as the indirect interior narration explains, his father's gratitude and loving appreciation faded to the point that Gregor's efforts and contributions were seen as routine, expected, and mechanical, so much so that affection was lost and Gregor's father stopped standing up to greet him during the few times he was home from traveling. Dehumanization is defined as the rendering of unique human qualities and actions as nothing more than routine and mechanical, as not human-like. Gregor's only concern at that time had been to arrange things. . . [H]e started working especially hard, with a fiery vig...

When Tom finally makes it back to the window ledge, both he and the reader feel as though the danger has passed. But his wife won't be home for many hours, the window won't open, it's cold, and it's hard for him to keep his balance on the ledge. How will he get in? First, he tries to smash the window with a large coin, then with his shoe. This doesn't work. Next, he tries shouting for help again. There's no answer. Third, he considers waiting for his wife to come home, so that she could get the superintendent of the building to open the window from the inside. But the wait would be too long for him to continue keeping his balance on the ledge. He's really cramped, and he has to move around to relieve the pain in his muscles--and every time he moves, he risks falling to his death. Fourth, he wonders if someone in the building across the street or in his own building might notice him and come help him. Or perhaps someone on the street below. But even though he...

Maclaurin series is a special case of Taylor series which is centered at `c=0` . We follow the formula: `f(x)=sum_(n=0)^oo (f^n(0))/(n!)x^n` or `f(x) = f(0)+ f'(0)x +(f^2(0))/(2!)x^2 +(f^3(0))/(3!)x^3 +(f^4(0))/(4!)x^4 +...` To list the `f^n(x)` , we may apply derivative formula for trigonometric functions:  `d/(dx) sin(x) = cos(x)` and `d/(dx)cos(x) = -sin(x).` `f(x)=cos(x)` `f'(x)=d/(dx)cos(x) = -sin(x)` `f^2(x)=d/(dx) -sin(x) = -cos(x)` `f^3(x)=d/(dx) -cos(x)= - (-sin(x))= sin(x)` `f^4(x)=d/(dx)d/(dx) sin(x) = cos(x)` Plug-in ` x=0` , we get: `f(0)=cos(0) =1` `f'(0) = -sin(0)=0` `f^2(0) = -cos(0)=-1` `f^3(0)=sin(0)=0` `f^4(0)= cos(0) =1` Note: `cos(0)= 1` and `sin(0)=0` . Plug-in the` f^n(0)` values on the formula for Maclaurin series, we get: `cos(x) =sum_(n=0)^oo (f^n(0))/(n!)x^n`               `=1 +0*x+(-1)/(2!)x^2+(0)/(3!)x^3+(1)/(4!)x^4+...`                `=1 +0-1/2x^2+0/6x^3 +1/24x^4+...`               `=1 +0-1/2x^2+0 +1/24x^4+...`                `=1 -1/2x^2 +1/2...

The answer to this question is, of course, a matter for debate, both for modern historians and for people who actually lived through the period in question. The effects of the Spanish-American War and the First World War led to major questions about the proper extent of American involvement in global affairs. The Spanish-American War ended with the Philippines, formerly a Spanish province, in American hands. Many Filipinos who had welcomed the overthrow of Spanish rule hoped to achieve independence, and the result was a bloody war that pitted American troops against Filipino rebels. The conflict raised obvious issues for the United States, itself a former colony, which was now waging a war to deny other peoples their freedom. With the rebellion brutally crushed, the United States controlled the Philippines, which gave it a major strategic foothold in the Pacific. Many Americans, then and later, viewed this action as immoral and contrary to American values, and it would be very difficul...

Though there is disagreement among readers about whether or not the Weird Sisters truly possess the ability to prophesy or influence the future, it is clear they do have some supernatural powers at least. For example, after delivering their predictions to Macbeth and Banquo in Act I, Scene 3, the witches vanish. Obviously, this is not something the average person can do, so it does show us the Weird Sisters have some power.  Later, the Weird Sisters meet up with Hecate, the ancient Greek goddess of witchcraft and magic, and they discuss how they are going to continue to manipulate Macbeth.  Namely, they will make him feel safe so he lets down his guard and becomes vulnerable. Hecate says, "you all know security / Is mortals' chiefest enemy" (Act III, Scene 5, lines 32-33). She and the witches powerfully manipulate Macbeth so he feels secure, using the apparitions they conjure to do so. They are thus powerful in this way as well.

Two moments where "life has to go on" can be seen when Baldeo loses his weapon in his fight with the tiger and when Tembu must assume responsibility for his family's welfare.  The moment when Baldeo comes face to face with the tiger is a significant one.  He draws his weapon as the animal makes towards him, and then brings "his axe down on the animal's shoulder."  This wounded the animal, but also ensured that "Baldeo was left without a weapon."  Baldeo was placed at a tremendous disadvantage, however, "life has to go on."  He was forced to fight the tiger without a weapon, resulting in his death.   Another situation that shows "life has to go on" is when Tembu must assume his father's duties.  Tembu is the one who discovers his father's lifeless body. He has to guard it from "from jackals and hyenas."  He and his mother and sister mourn for days.  Despite such intense pain, Bond writes that "life had to g...

The statement "the individual identity of a person is determined by their external influences" is certainly an opinion-based statement; evidence from the text can be used to agree or disagree with this idea. Conventions and techniques refer to literary techniques and conventions used by the author, such as foreshadowing, figurative language, character development, flashback, flashforward, backstory, unreliable narrator, and more.  I would suggest you choose a position (is a person's identity in fact determined by external circumstances or not?) and back it up with evidence from the text, which would include the literary techniques of the author. For example, if one were to argue that a person's identity is determined by his/her external circumstances, using the example of Darry would work well to support this argument. Darry doesn't finish high school and becomes the sole breadwinner of the household after his parents' deaths. He had a lot of potential as an a...

Although this sentence does not use any of the “FANBOYS” coordinating conjunctions, it is nevertheless a compound sentence. This is because the semicolon can take the place of a coordinating conjunction. In a typical compound sentence, there are two independent clauses which are linked by a coordinating conjunction. For example, Sentence #6 in the screenshot you attached is clearly a compound sentence. It uses the coordinating conjunction “and” to imply Achilles’ anger was related to the fact that he only had one real friend. Sentence #1, about which you are asking, does not have a coordinating conjunction. Even so, it is still a compound sentence. Compound sentences (as you can see in the link below) can be constructed using a semicolon instead of a coordinating conjunction. In Sentence 1, we have two independent clauses that could each form a standalone sentence. These two sentences are combined with a semicolon, which implies that the two clauses are related in some way. Because a c...

This is a very broad question.  In general, European colonization had many impacts on Native Americans.  In some cases, these were positive such as the trade relationships that were opened between the French and some Native populations in what is now Canada. In some cases, they were neutral, such as intermarriage and the spread of new cultural ideas in both directions. In some cases, they were negative, bringing epidemic diseases that wiped out Native populations and violence that forced Native populations to relocate or be overtaken by European colonizers.  There were several factors involved in creating the Spanish empire.  One was gunpowder.  Since many of the Spanish conquerors had guns and by and large the Native populations did not, guns were not only a deadly weapon but also a factor in intimidating and psychologically overpowering populations.  Horses were another factor.  Many of the Spanish warriors were mounted on horseback.  This was both a military advantage and also a too...

A group of organisms of the same species form a population. Populations of different species interacting with each other form a community, while an ecosystem is composed of living organisms of different species interacting with their environment. Thus, we can say that organisms that live together and interact in an environment form a community . If we add in the interaction between organisms and the environment, then we can say that organisms that live together and interact with an environment form an ecosystem . For example, a marine community is composed of different organisms such as fish, plants, diatoms, etc. These organisms live together and interact in the marine environment (a sea or ocean). Their interactions with the environmental elements (abiotic factors) as well as with each other constitute a marine ecosystem. Hope this helps.

Corruption and militarism are the primary problems addressed by Aristophanes in his criticism of Greek democracy. The Acharnians was produced in the late fifth-century city-state of Athens and it explores the various weaknesses of democracy as a form of government.  Through satire, Aristophanes expresses his disdain for the Greek military's attitude towards war. He also criticizes what he views as the petty concerns and actions of the country's democratic politicians and thinkers, including an often scathing parody of Greek political drama and the work of Euripides. Militarism The Acharnians is set during the Peloponnesian War during the sixth year of conflict between Athens and Sparta. The Athenian military faces pressure to escalate the conflict for revenge against Sparta, while Dicaeopolis wishes to negotiate peace for his family alone. Throughout the play, Dicaepolis must use his wit to thwart his militaristic opponents. Democracy is presented as a vehicle for militarism a...

Partly paid up preference shares are shares that the shareholder has not entirely paid for either at the time of incorporation or issuance. During incorporation and issuance, the shareholder is allowed to pay an amount less than the face value of the share. However, the company expects the remainder of the cost at face value to be paid at some point in the future. Fully paid up preference shares are shares that have their face value paid up in full by the shareholder. In most jurisdictions, the Companies Act requires partly paid up preference shares be paid up in full before they are redeemed by the shareholder. The logic behind the concept holds that the firm cannot pay for what the shareholder does not completely own. The shareholder of partly paid up preference shares is considered to be in debt, and it is only after they completely service the debt that they can claim the full value of the shares. It is also important to note that the price to be paid by the company at redemption i...

The woods near the spring do not change.   In this story, we learn the Tucks are immortal because they drank from a spring in the woods near Winnie’s house. We also find out that not only have the Tucks not changed, but neither have the woods.   "It hadn't changed, no more'n we had," said Miles. "And that was how we found out. Pa'd carved a T on the tree, remember, twenty years before, but the T was just where it'd been when he done it. That tree hadn't grown one whit in all that time. It was exactly the same. And the T he'd carved was as fresh as if it'd just been put there." (Ch. 7)  The Tuck family had no idea they would become immortal when they drank from the spring. They were just thirsty. The Tucks later realized they could not die or appear to grow older. They were stuck. This meant they had to live an isolated life because anyone who spent too much time around them would realize they were different.  The Tucks try to keep the spr...

Laurie Halse Anderson's novel  Speak is about Melinda Sordino's emotional journey after she has been sexually assaulted at a party. This is Melinda's freshman year of high school, and she is ostracized from the very beginning for calling the police after her assault, resulting in the breakup of the party. She is struggling with post-traumatic stress disorder, extreme isolation, and troubles at home. The title of the book relates directly to the main theme of the book—Melinda feels she cannot speak to anyone about her assault, so she doesn't speak to anyone at all.  Melinda struggles to assert herself to her teachers, parents, and fellow students, and this only creates more problems and anxiety for her. If she can't speak up about something little, like how she doesn't really want to teach a guy basketball, how could she speak up about such an earth-shattering experience as rape? Slowly but surely, Melinda comes to make sense of what has happened to her, and gro...

By definition, pressure is a force (exerted perpendicularly to some surface) divided by an area of that surface. If this force is not constant over a surface, this is the definition of an average pressure. The Si unit for pressure is `N/m,` which is called Pascal (`Pa`) after the French scientist and philosopher. In our case, the force is more or less uniform and is given (`600 N`). The area is given also: twice `0.0015 m^2,` or `0.003 m^2.` So the pressure is equal to `600/0.003 = 200,000 (Pa).` This is about twice as much as the standard atmospheric pressure (if you ask "is this a high pressure?"). If she stood on one foot, the pressure would be twice as high. The answer: the pressure is 200,000 Pa .

Both the DeLacey and the Frankenstein families are close, loving families, although Felix and Agatha are much more devoted to their father and each other than is Victor Frankenstein to his family. Initially, in Chapter 1 of Shelley's novel, narration about the Frankenstein family describes them as in relationships that involve the one cared for and the caretaker. For instance, Alphonse Frankenstein comes "like a protecting spirit" to the rescue of Caroline Beaufort who has been orphaned by the death of her father, a true friend of the senior Frankenstein. Further, Caroline Frankenstein rescues Elizabeth Lavenza, saving her from a life of poverty, and she is received by Victor as though she is a cousin. There is love in this family; as Victor tells Walton, "Everyone loved Elizabeth." Similarly, the DeLacey family, although having fallen upon misfortune, are a loving, caring family. The children of M. Delacey, a man who has lost his affluent social position in Fra...

Rukmani grew up as the fourth and youngest daughter of a village headman. During her childhood years, her father had been a man of consequence and wealth. As a result of their father's position, Rukmani's two eldest sisters had managed to make good matches; they married well, with the requisite dowries, jewelries, and lavish wedding ceremonies expected of daughters of a village headman. By the time her third sister married, however, Rukmani discovered that her father's influence had been infinitely diminished. It was now the tax collectors who held all the power and consequence in the villages. As a result of this change in affairs, Thangam, Rukmani's third sister, only managed to secure a modest wedding and to wed with minimal jewelry on her person. By the time Rukmani was to marry, the family could not afford a dowry at all. Without beauty and without a dowry of any sort, Rukmani was forced to marry an impoverished tenant farmer at the age of twelve. The family's ...

Duncan arrives at Macbeth's castle in Act I, scene vi thanking Lady Macbeth for taking the trouble to host him. He speaks of Macbeth and Lady Macbeth as hospitable, which would include providing protection to him as their guest. He mentions Macbeth's great love for him: And his great love, sharp as his spur, hath holp him To his home before us. Fair and noble hostess, We are your guest tonight. Duncan refers to Lady Macbeth as "noble" and says that because of his great love for Duncan, Macbeth has ridden home ahead to help prepare to greet him as a guest.  In fact, Lady Macbeth plans to have her husband murder Duncan. Rather than offer hospitality and protection, she plans to kill this guest so that her husband can become king. This is an example of dramatic irony, which is when the audience knows something a character doesn't. In this case, the audience already knows from the previous scene that Lady Macbeth's plans for her king are anything but loving and ho...

In Shakespeare’s “Macbeth,” Banquo is a foil for Macbeth.  The definition of a foil is a character who provides a contrast to another character in order to show that character’s flaws. Banquo is an excellent example of a foil. Both Macbeth and Banquo are brave soldiers, members of the nobility, and respected by the king. Shakespeare shows key differences between the two, though. When the men meet the witches, Macbeth is immediately interested in them. Banquo, on the other hand, is suspicious of them. Instead of immediately accepting them, he laughs at and dismisses them. When the witches give Macbeth a prophecy, Macbeth is both fearful and intrigued. Banquo, on the other hand, is skeptical. He tells them that if they are able to make predictions, they should make one for him. When they do, he makes light of their cryptic remarks. While Macbeth is inclined to believe them, Banquo is more cautious, warning his friend that witches cannot be trusted. “Oftentimes, to win us to our harm/ the...

`y'+3x^2y=x^2y^3` Multiply the above equation by `y^(-3)` `y^(-3)dy/dx+3x^2y(y^(-3))=x^2` `y^-3dy/dx+3x^2y^(-2)=x^2` Taking the transformation  `v=y^(-2)` `(dv)/dx=d/dy(y^(-2))*dy/dx` `(dv)/dx=-2y^(-3)dy/dx` `-1/2(dv)/dx=y^(-3)dy/dx` Now the Bernoulli equation is transformed as , `-1/2(dv)/dx+3x^2v=x^2` `(dv)/dx-6x^2v=-2x^2` Now the above is a linear equation in the dependent variable v and independent variable y. The integrating factor is n(x)=`e^(int(-6x^2dx))` `=e^(-6x^3/3)` `=e^(-2x^3)` Then, `e^(-2x^3)*(dv)/dx-6e^(-2x^3)*x^2v=-2e^(-2x^3)*x^2` `d/dx(e^(-2x^3)*v)=e^(-2x^3)(dv)/dx+ve^(-2x^3)(-6x^2)` `=e^(-2x^3)(dv)/dx-6e^(-2x^3)*x^2v` `=-2e^(-2x^3)*x^2` `intd/dx(e^(-2x^3)*v)dx=int-2e^(-2x^3)x^2dx` `e^(-2x^3)*v=-2inte^(-2x^3)*x^2dx` Let `t=x^3` `dt=3x^2dx` `e^(-2x^3)*v=-2inte^(-2t)*dt/3` `=-2/3(e^(-2t)/(-2))+C` `=e^(-2t)/3+C` Substitute back `t=x^3` `e^(-2x^3)*v=1/3e^(-2x^3)+C` Substitute back `v=y^(-2)` `e^(-2x^3)*y^(-2)=1/3e^(-2x^3)+C` `y^-2=1/3+C/e^(-2x^3)` `1/y^2=1/3+Ce^(2x^3)...

When Jem and Scout attend First Purchase African M.E. they are treated hospitably by the congregation and pastor. As they enter the church, the men take off their hats as a sign of respect and the women politely make way for them. After their short run in with Lula, Zeebo graciously introduces himself and lets Scout and Jem know that everyone is happy to see them at Sunday service . While Reverend Sykes is at the pulpit, he acknowledges Scout and Jem for visiting and says that the church and its members are particularly glad to have them this morning . After the service is over, Calpurnia chats with Zeebo and his family, while Jem and Scout have a conversation with Reverend Sykes. Reverend Sykes says, " We were 'specially glad to have you all here ," and mentions that the church has no better friend than Atticus (Lee 163). Scout curiously asks Reverend Sykes questions about why they were taking a collection for Helen Robinson, and Sykes is more than happy to answer Sco...

In Poe's short story "The Tell-Tale Heart," the narrator murders an old man he lives with, dismembers the body, and buries it under the floor. As the narrator contemplates the murder, standing in the doorway of the man's room, he believes he hears the beating of the man's heart as he lies in his bed. The narrator believes that due to an illness his senses have been heightened. He believes the man's heart is beating loudly in fear. As he descends upon the man to suffocate him, he continues to hear the beating, but at last the sound subsides, and the narrator determines the man is dead.  After the narrator buries the body under the floor, three policemen enter the house. The narrator is so confident that his crime will not be discovered that he invites them to sit down, right over the place where the corpse is buried. Although he laughs and chats with the policemen at first, soon he becomes distraught. He believes he hears the same sound he heard previously, whi...

Mass incarceration is the imprisonment of an historically large proportion of Americans. Today, 5% of the population is in jail, which is five times the proportion of Americans who were in prison in the 1970s. Among the causes of the mass incarceration are federal laws regarding criminal justice, including mandatory minimum sentencing laws for certain crimes. These laws were passed in response to the growth of crime in the late 1960s and early 1970s, and the political response that called for "getting tough on crime." Both major political parties, Democrats and Republicans, have passed these laws, particularly before elections, to gain favor with the public.  The problem with this system, as John Oliver's video points out, is in part the very high rate of recidivism. This means that each year an inmate serves time in prison increases the chance he/she will commit another crime. According to the video, the national recidivism rate is 50%. That means that 50% of inmates wil...

To write this diary entry, you should put yourself in the mindset of Caliban and try to think like he does. The scene you are being asked to write about actually occurs before the action of the play, before Prospero and Miranda, a three-year-old child, arrive at the island. Caliban at that point has never seen any people except his "dam," or mother, Sycorax. Sycorax was an evil witch who imprisoned the spirit Ariel in a pine tree before Prospero arrived. Sycorax herself was no longer on the island when Prospero arrived. So in your diary, you could mention that you are seeing creatures of a kind you have never seen. You could mention how your mother abandoned you and you have been so lonely. You could anticipate having someone to play with, but you could also express some fear that the large creature might not like you and might lock you up in a tree like your mother did to that nice spirit Ariel. There are other spirits on the island; you could make mention of Caliban's r...

Durkheim believed the division of labor is beneficial for social solidarity because the division of labor draws people together, puts people into frequent contact, and increases the opportunities for people to engage in mutually beneficial relationships. The two types of social solidarity are mechanical solidarity, in which an individual is tied to the larger society without any force except the collective conscious (a system of shared values), and organic solidarity, in which people are connected to each other through the functions they perform and a division of labor that breeds interdependence.  Societies with mechanical solidarity rely on repressive laws—that is, laws that punish the perpetrator—and have a great number of penal laws. Societies with organic solidarity have rules with restitutive penalties, meaning the laws aim to make the situation right and restore the situation to an earlier state. It could be argued that our society has come to rely more on repressive laws than r...

Lyric poetry has three academically recognized features that are usually stated as emotion, imagination and melody. Friends, behold! In a sacred manner I have been influenced At the gathering of the clouds. Sacred I have been made. (excerpt from "Song Concerning a Dream of the Thunderbirds") Upon examining this excerpt from the poem, we see that the poetic phrase "gathering of the clouds" in association with being made sacred ("Sacred I have been made") is an example of the feature of imagination. Imagination envisions clouds and the glory of sacredness. The stirring line "Sacred I have been made" is an example of melody. The word "sacred" conveys an innate musicality because of meaning combined with phonetic sounds [/s/ /a/ /r/]. When "sacred" is in arrangement with the personal pronoun "I" and the state of having "been made" (or transformed), melody is produced. In its simplest terms, melody is vocal pitc...

The first chapter of  The Scarlet Letter  opens with a description of the prison door, specifically the prison where Hester Prynne has been held since it was discovered that she committed adultery. But at the end of this short chapter comes this sentence: But, on one side of the portal, and rooted almost at the threshold, was a wild rose-bush, covered, in this month of June, with its delicate gems, which might be imagined to offer their fragrance and fragile beauty to the prisoner as he went in, and to the condemned criminal as he came forth to his doom, in token that the deep heart of Nature could pity and be kind to him. If the reader has not read "The Custom House," the pseudo-introduction to the book, then s/he will have no idea what the rose symbolizes. However, the next chapter jumps directly into a description of Hester and her sin, thus linking the rose to Hester. As she exits the prison for the first time, her baby held to her bosom, she is described as beautiful and...

In James Hurst's short story "The Scarlet Ibis" Doodle should definitely be considered a round character. A round character is one who displays many different character traits. They are three dimensional and realistic. Doodle is a sensitive, smart and imaginative young boy despite being physically handicapped. He reveals his sensitivity early in the story when he is fearful of being left behind in the loft of the barn when his brother, who was displaying his mean streak, showed Doodle the coffin which had been built for him when he was still an infant. He also shows his sensitivity to the beauty of nature when his brother first takes him to Old Woman Swamp: His eyes were round with wonder as he gazed about him, and his little hands began to stroke the rubber grass Then he began to cry..."It's so pretty," he said. "So pretty, pretty, pretty." Doodle has an amazing imagination for a boy his age. His brother says that Doodle made up "lies" w...

After Jane is confined in the red room of the Reed house, she senses the recurring memory of the trauma she experienced whenever her individual self-expression or independence is challenged or threatened. When Jane is unjustly treated and thrown into this room where her uncle died, she is certainly traumatized. After she spends a terrifying night, Miss Abbot draws Jane's attention to her lowly status, informing her that her cousins will inherit money, so her place "...is to be humble, and to try to make yourself agreeable to them [or] Missus will send you away."(Ch. 2) This declaration of her inferiority profoundly affects Jane. While she is at Lowood School, Jane finds herself singled out and humiliated in a similar fashion. This experience triggers the memory of the red room as, again, Jane suffers from lack of self-worth and loss. Further, on the night that she wonders if she must leave Thornfield because she cannot bring herself to live with him as a mistress, Jane dr...

There are really two sets of events in “Contents of the Dead Man’s Pocket” that explain why Tom Benecke went out on the ledge. One set of events happens in the time the story is being told. The other set of events has already happened by the time that the story begins. The events that happen just before Tom goes out on the ledge have to do with the fact that he feels bad about staying home and working instead of going to the movies with his wife. First, he feels hot, which he attributes to his guilty conscience. This causes him to go over and make the effort to open the window. Next, Clare leaves. Tom, conflicted, watches her walk down the hallway for a while instead of closing the door immediately. As he holds the door open, air rushes because of the open window. He now has to push to get the door closed. As this happens, he hears the paper that holds his notes rustling as it is blown off the desk and out the window. He considers what to do for a while, and then goes out the window on...

`int1/(25+4x^2)dx` Let's transform the denominator of the integral, `int1/(25+4x^2)dx=int1/(4(x^2+25/4))dx` Take the constant out, `=1/4int1/(x^2+(5/2)^2)dx` Now use the standard integral:`int1/(x^2+a^2)dx=1/aarctan(x/a)` `=1/4(1/(5/2))arctan(x/(5/2))` simplify and add a constant C to the solution, `=(1/4)(2/5)arctan((2x)/5)+C` `=1/10arctan((2x)/5)+C`

This is a third law problem in disguise. You have two forces: electric force and gravitational force. Using the equations for gravity, electric force, electric potential, density, and volume of a sphere, you can solve for radius. We start with Newton's third law, `SigmaF=0` and substitute in the equations for gravity and electric force. `F_(g)-F_(e)=0` `F_(g)=F_(e)` `mg=qE` Because gravity is negative, I am ignoring the minus. Next, solve for mass. `m=qE/g` Then substitute in the equation for electric potential. `m=(V/y)q/g` We proceed to substitute in density, with X for volume, `dX=(V/y)q/g` and finally substitute for volume of a sphere. `d[(4/3)pir^3]=(V/y)q/g` At long last we can isolate the radius and solve with numbers. `r=root(3)((3/4pi)Vqd/yg)` `r=root(3)((3/4pi)(97)(2.403*10^-18)(860)/(.012)(9.8))` `r=6.681*10^-10` meters. Does this answer make sense? Oil droplets are very small, so a radius that small is logical. Did we need terminal velocity? Not for this solution, but o...

Mechanical advantage is a term commonly used with respect to machines. It gives us an idea of how much force needs to be applied to achieve a certain level of work from that particular machine. Mechanical advantage is defined as the ratio of force produced by a machine to the force applied to it. In other words, Mechanical advantage = force produced / force applied Ideally, we want the mechanical advantage to be more than 1. In such a scenario, more force is produced by the machine as compared to the force applied to it. This will result in work with less force expended. If the mechanical advantage is less than 1, then we will have to apply more force to get the same amount of force output. One can think of this situation as analogous to spending more money but getting a product worth less. In other words, force applied is more than force produced. Hope this helps. 

Kennedy's foreign policy and defense strategy was a complete shift from Eisenhower's reliance on nuclear deterrence.  Kennedy sought a "flexible response" that would be more inexpensive than spending the entire defense budget on missiles and bombers to deliver nuclear weapons.  Kennedy sought to increase special operations groups to fight clandestine wars against Communism.  This was the thought behind the Bay of Pigs fiasco, where anti-Castro rebels landed in Cuba in an attempt to start a revolution.  The rebels were met and captured on the beach by Castro's forces, and Kennedy looked like a laughingstock.  The Soviet Union took this opportunity to put missiles in Cuba, thus creating the tense stalemate of the Cuban Missile Crisis.  Kennedy became a national hero again when he blockaded Cuba and forced the Soviets to take the missiles out of Cuba; in reality, Kennedy struck a deal with the Soviet Union where he took American intercontinental ballistic missiles ou...

The Purify Parasite Cleanse is an herbal tonic taken to rid the body of parasites like tapeworms and pinworms. This herbal tonic contains ingredients like black walnut hull, clove, peppermint, and fennel. Many of these herbs are stomach-soothing or have anti-emetic qualities. This tonic is intended to clear the digestive tract of parasites, so unfortunately I do not think it will help you be rid of topical parasites on the skin or in hair. Additionally, this herbal tonic is not regulated or approved by a drug testing agency, so it is difficult to be sure of the safety or efficacy of the product. If you are experiencing parasites of any kind, please see a physician! They can recommend and prescribe a safe, regulated, and effective treatment. 

Brian sees a very large bear among the raspberry bushes.  He is terrified of the bear, who he fears will kill him and eat him.  However, Brian soon realizes that the bear is not interested in him and has no intention of harming him.  He bravely continues to pick the raspberries and is able to eat a full meal of them as well as save some of them for later.  When he goes home that night, he places the hatchet by his head when he goes to sleep in case the bear shows up.  From this experience Brian learns to overcome some of his fears of being lost in the wilderness.  He realizes that he need not blindly fear everything in the wilderness, and sees that if he is observant and cautious he can survive even the things that seem the scariest.    

As you correctly point out, the signalman dies at the end of the story, so consider writing a newspaper report from the perspective of the narrator. An interview-style report will work best for this task and there are a number of questions you might like to include. Firstly, ask the narrator about his initial impressions of the signalman. His answer might include details about their first conversation, in which the signalman appeared distracted by the red light and had the feeling that he had met the narrator before. Include the following quote which demonstrates the signalman's sense of mystery, during this first meeting: The monstrous thought came into my mind, as I perused the fixed eyes and the saturnine face, that this was a spirit, not a man. Secondly, ask the narrator about his invitation to return to the signal box on the second night. Relate the details of his conversation with the signalman in which he described the appearances of the ghost and the tragic accidents which ...

The ancient Greeks told the story of their sexuality through paintings, legends, myths, theater, and sculpture. For example, the satyr plays of ancient Greece correspond to the sex or romantic comedies of today. These plays featured half-man, half-goat characters who spouted ribald lines, donned phalluses, engaged in sexual trysts, and imbibed wine to excess. Few manuscripts of ancient Greek satyr plays survived intact, but Euripides's  Cyclops did. Meanwhile, the Iliad was one play that celebrated heterosexual love (the one between Achilles and the beautiful Briseis). In the play, Achilles was so furious with Agamemnon for taking Briseis from him that he refused to fight against the Trojan forces. You can see a painting of Patroclus separating Briseis from Achilles here. In the area of sculpture, the Greeks could not have been more adventurous. Sexually-explicit sculptures were de riguer , and the Greeks were certainly not bashful about their sexual proclivities. One such scul...

Great book.  I could pick five important events in the book, but I feel that wouldn't be doing the story justice.  A lot happens to Lyddie in a relatively short period of time.  I will list ten events that I think are quite important to the story.   Lyddie protects herself and her family from the bear that enters their small house.   Lyddie is forced to work at Cutler's Tavern.   Lyddie decides to go to Lowell to become a factory girl.   Lyddie helps get the stagecoach unstuck.  This act results in Lyddie being taken to Mrs. Bedlow's boarding house.    Lyddie begins work in the factory. Lyddie gets hurt while working in the textile mill.   Mr. Marsden makes a sexual advance toward Lyddie, and Lyddie defends herself.   Lyddie is forced to teach Brigid to work in the factory.  Lyddie is not happy about it. Lyddie goes to sign the petition, but she finds out that she is too late.   Mr. Marsden makes a sexual advance toward Brigid.  Lyddie protects Brigid by dumping a bucket of...

In Shakespeare's  A Midsummer Night's Dream , Puck changes Bottom's head into that of a donkey's in Act 3, scene 1. When Bottom approaches his friends in the forest, they think that the monster has either murdered their friend or he has been "changed" for some haunted reason (III.i.102). Having been through a traumatizing event, Bottom's friends are wondering where he is the next morning after losing him to the mysterious monster or enchantment. The actors are found in Act 4, scene 2 deliberating about the previous night's experience. They check Bottom's house, but Starveling says that "He cannot be heard of. Out of doubt he is transported" (IV.ii.3-4). This means that Starveling thinks that Bottom has been transformed for good and that they will never see him again. Flute worries that Bottom has lost his chance to earn some money by performing for the Duke. All of Bottom's friends are bewildered and sad that they have lost him. When ...

In Chapter 3 entitled "Wendell," Ana, Wendell's upstairs neighbor, calls him while he is sleeping and tells him to come to her apartment as quick as he can. Wendell mentions that he hopes that he won't find Ana laying dead on the floor when he gets to her apartment. Ana is an old Romanian woman whose apartment overlooks the vacant lot on Gibb Street. When he arrives at her apartment, Ana tells him that the little bean plants are dying, and the girl who planted them hadn't come to water the plants in four days. Ana then mentions that she thinks the little girl is either sick or out of town. The reason Ana couldn't walk down the steps to water them herself is because she had twisted her ankle badly and couldn't "manage stairs." Ana proceeds to tell Wendell to fill up her pitcher with water and soak the wilted bean plants. Wendell reluctantly fills the pitcher and heads down to vacant lot to water the little girl's plants.

To evaluate the given equation `log_6(3x)+log_6(x-1)=3` , we may apply the logarithm property: `log_b(x)+log_b(y)=log_b(x*y)` . `log_6(3x)+log_6(x-1)=3` `log_6(3x*(x-1))=3` `log_6(3x^2-3x)=3` To get rid of the "log" function, we may apply the logarithm property: `b^(log_b(x))=x` . Raise both sides by base of `6` . `6^(log_6(3x^2-3x))=6^3` `3x^2-3x=216` Subtract `216` from both sides of the equation to simplify in standard form: `ax^2+bx+c= 0` . `3x^2-3x-216=216-216` `3x^2-3x-216=0` Apply factoring on the trinomial. `3*(x + 8)*(x - 9)=0` Apply zero-factor property to solve for `x` by equating each factor in terms of `x` to `0` . `x+8-8=0-8` `x=-8` `x-9=0` `x-9+9=0+9` `x=9` Checking: Plug-in each `x` on  `log_6(3x)+log_6(x-1)=3` . Let `x=-8` on `log_6(3x)+log_6(x-1)=3` . `log_6(3*(-8))+log_6(-8-1)=?3` `log_6(-24)+log_6(-9)=?3` undefined +undefined =?3       FALSE Note that `log_b(x)` is undefined on `xlt=0` . Let `x=9` on `log_6(3x)+log_6(x-1)=3` . `log_6(3*9)+log_6(9-1)=?3` `l...

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

What unifies the sights the speaker sees is the rhythms of nature.  From his vantage point on a farm,  he observes the butterfly that sleeps on a tree trunk, the cows that graze in a nearby pasture, the manure that dries in the sun, and a hawk that heads home.  The speaker is only able to notice these things because he is at rest, outdoors, under a tree.  One way of interpreting the poem's last line, "I have wasted my life" is that perhaps the speaker has spent his life away from the natural world and missed out on these simple beauties.  In this way, the line could be read as a lament.  It could also be read as an expression of wry humor. Perhaps the speaker wishes for a more simple life and thinks that the animals have an ideal existence. Or, it could be that he finds the whole scene too rural and boring and is being a bit sarcastic about what he witnesses. 

The Weird Sisters have told Macbeth that he will become Thane of Cawdor and, later, that he will become king as well.  Banquo, curious, then asks for some news for himself, and the witches tell him that he will be "Lesser than Macbeth and greater" because he is going to father a line of kings, but not be king himself (1.3.66).  Because he will never be a king, he is going to be "less" than Macbeth, but because his descendants will be kings and Macbeth's won't be, he is greater than his friend.  Further, the witches tell Banquo he will be "Not so happy, yet much happier" for the same reasons: he will not be so happy as to be king like Macbeth, but he will be happier in that his children will run the country (1.3.67).  They finally reveal how all these paradoxes can be true when they say to him, "Thou shalt get kings, though thou be none" (1.3.68).  In other words, he will never rule, but his descendants will.

We will use conservation of energy to solve this problem. We need to consider the rotational energy of the cylinder and the translational energy of the center of mass. `E_i=E_f` `U(h)=K_(trans)+K_(rot)` `Mgh=1/2 Mv^2+1/2 I omega^2` `Mgh=1/2 Mv^2+1/2 I (v/R)^2` We need to find the moment of inertia. `I= int r^2 dm=int r^2 rho(r) dv` `I=int_0^R r^2 rho(r) z (2pi r) dr` `I=2pi zA int _0^R r^4 dr` `I=(2pi zAR^5)/5` Now to get A in terms of  `M` . `M=int dm=int_0^R rho(r) z(2pi r) dr` `M=2A z pi int_0^R r^2 dr=2A z pi (1/3)R^3` `A=(3M)/(2z pi R^3)` `I=(2pi zAR^5)/5=(2pi z)(3M)/(2z pi R^3)*(R^5/5)=3/5MR^2` Now solve the energy equation for `v` . `Mgh=1/2 Mv^2+1/2 I (v/R)^2` `2Mgh=Mv^2+(3/5MR^2)*(v/R)^2` `2gh=v^2+(3/5)v^2` `2gh=(8/5)v^2` `5/4 gh=v^2` `sqrt(5gh)/2=v`

Great question! No. It doesn't mean that. That's an option, and a possibility, but not a certainty. First, let us review the final line of the story. Marquez wrote, "She kept watching him even when she was through cutting the onions and she kept on watching until it was no longer possible for her to see him, because then he was no longer an annoyance in her life but an imaginary dot on the horizon of the sea." That's a crucial distinction. Marquez doesn't say the old man is an imaginary dot per se. He's saying that's how Elisenda sees him. This is a narration of Elisenda's view of things. She's so fixed on watching the old man that she keeps staring even after she can't see him. The most likely meaning of the "imaginary dot" is that she stares so hard she sees little shadows or birds or even flecks in her eye as the angel. She wants to keep seeing him, and she wants to figure him out, so badly that she stares even after it isn...

To evaluate the given integral problem: `int_0^(pi/2) t^3 cos(t)dt` , we may apply the First Fundamental Theorem of Calculus. It states that when continuous function `f` on closed interval `[a,b] ` and `F` as indefinite integral of `f` then `int_a^b f(x) dx = F(x)|_a^b` or `F(b)-F(a)` . The given integrand is `f(t) =t^3 cos(t)dt` on closed interval `[0, pi/2]` . To determine the indefinite integral `F(t)` , we may consider the formula from integration table. The integral `int_0^(pi/2) t^3 cos(t)dt` resembles the formula:`int x^3 cos(ax) dx = ((3x^2)/a^2-6/a^4)cos(ax)+(x^3/a-(6x)/a^3)sin(ax)` . By comparison, the corresponding values are: `x=t` and `a=1` . Applying the corresponding values on the formula, we get: `int_0^(pi/2) t^3 cos(t)dt=[((3t^2)/1^2-6/1^4)cos(1*t)+(t^3/1-(6t)/1^3)sin(1*t)]|_0^(pi/2)` `=[(3t^2-6)cos(t)+(t^3-6t)sin(t)]|_0^(pi/2)` To solve for the definite integral, we may apply the  formula: `F(x)|_a^b = F(b)-F(a)` . `[(3t^2-6)cos(t)+(t^3-6t)sin(t)]|_0^(pi/2)` `=[(3(pi...

This poem is a meditation on death. The speaker says that everyone who has lived has died. The idea is that we should not fear death because it is a natural part of life, and one should not feel alone in dying because the earth is like one big sepulcher full of everyone one who has ever lived and died. The speaker suggests a kind of togetherness in death. The speaker says that "each one" (currently), "as before" (just like everyone who ever lived), "will chase / His favorite phantom." This means that every person pursues some desire, some goal, or some achievement in life. This is not necessarily a bad or good thing. One could pursue the love of another person. One could pursue power and wealth. The notion that these pursuits are "phantoms" stresses their transitory existence. These are phantoms because they only exist for a short time: while a person is alive. Referring to desires, employments, or pursuits as "phantoms" suggests that t...

No, it is not possible to achieve total equality in a society. While the Declaration of Independence declares that "all men are created equal," it does not mean that everyone is equal in intelligence, physical skills, etc. It means that they hold equal rights that are inherent in all people. This concept is one propounded during the Enlightenment of the eighteenth century, an age of great thinkers such as Jean-Jacques Rousseau and John Locke. These Enlightenment thinkers believed in the concept of natural rights, rights that allow people to freely make their own choices and have the opportunity to prosper. This Enlightenment concept of natural rights--"all men are created equal"--is greatly different from the "equality" established by the 211th, 212th, and 213th Amendments to the Constitution and enforced by agents of the United States Handicapper General Diane Clampers. In order to make Harrison Bergeron "equal," the young man must wear handicap...

`int1/((x-1)sqrt(4x^2-8x+3))dx` Let's rewrite the integral by completing the square of the term in denominator, `=int1/((x-1)sqrt((2x-2)^2-1))dx` Apply the integral substitution: `u=2x-2` `du=2dx` `=>dx=(du)/2` `u=2(x-1)` `=>(x-1)=u/2` `=int1/((u/2)sqrt(u^2-1))(du)/2` `=int1/(usqrt(u^2-1))du` Again apply integral substitution: `u=sec(v)` `du=sec(v)tan(v)dv` `=int1/(sec(v)sqrt(sec^2(v)-1))sec(v)tan(v)dv` `=inttan(v)/(sqrt(sec^2(v)-1))dv` Use the trigonometric identity:`sec^2(x)=1+tan^2(x)` `=inttan(v)/sqrt(1+tan^2(v)-1)dv` `=inttan(v)/sqrt(tan^2(v))dv` `=inttan(v)/tan(v)dv`   assuming `tan(v) >=0` `=intdv` `=v` Substitute back `v=arcsec(u)`  and  `u=(2x-2)` and add a constant C to the solution, `=arcsec(2x-2)+C`

In the late 1600s, Massachusetts was heavily Puritan.  Puritan beliefs demanded moral behavior and a devotion to Christianity and the church.  Those who were different were viewed with suspicion.  This was especially true of people who held different religious beliefs, such as Quakers and Native Americans. In 1692, two girls living in Salem Village started to experience strange fits.  They were cousins Betty Parris and Abigail Williams.  Betty was the minister's daughter and Abigail was his niece.  It was recorded that they made animal sounds, threw themselves onto the floor, and tossed objects around the house.  This behavior was highly unusual for Puritan young ladies, who were expected to be meek and respectable.  It was especially unusual for members of the minister's own family to behave in such a way.  Soon other girls in Salem Village started to experience similar fits.  It was concluded that all the girls had been bewitched.  This was given as the explanation for their ...

A decomposer is an organism that breaks down organic material, thus keeping nutrients in the ecosystem. At the bottom of the food chain, decomposers break down dead plants and animals and other types of waste into things like nitrogen and carbon and release those nutrients into the soil in the natural process of decomposition. Decomposers are unique in their ability to reduce organic material to chemical components. Some decomposers are microscopic, such as bacteria. Other decomposers are much larger, such as fungi, snails, slugs, worms, and insects. Although decomposers primarily serve the environment by recycling dead plants and animals, decomposers can begin the process of decomposition while a plant or animal is still alive. Furthermore, several types of decomposers can work together to complete the process of decomposition.

`int 5/(x^2+3x-4)dx` To solve using partial fraction, the denominator of the integrand should be factored. `5/(x^2+3x-4)=5/((x+4)(x-1))` Then, express it as sum of fractions. `5/((x+4)(x-1))=A/(x+4)+B/(x-1)` To determine the values of A and B, multiply both sides by the LCD of the fractions present. `(x+4)(x-1)*5/((x+4)(x-1))=(A/(x+4)+B/(x-1))*(x+4)(x-1)` `5=A(x-1)+B(x+4)` Then, assign values to x in which either x+4 or x-1 will become zero. So plug-in x=-4 to get the value of A. `5=A(-4-1)+B(-4+4)` `5=A(-5)+B(0)` `5=-5A` `-1=A` Also, plug-in x=1 `5=A(1-1)+B(1+4)` `5=A(0)+B(5)` `5=5B` `1=B` So the partial fraction decomposition of the integrand is `int 5/(x^2+3x-4)dx` `= int 5/((x+4)(x-1))dx` `= int (-1/(x+4)+1/(x-1))dx` Then, express it as two integrals. `= int -1/(x+4)dx + int 1/(x-1)dx` `= - int 1/(x+4)+int 1/(x-1)dx` To take the integral, apply the formula `int 1/u du = ln|u| + C` . `= -ln|x+4| + ln|x-1| + C` Therefore, `int 5/(x^2+3x-4)dx= -ln|x+4| + ln|x-1| + C` .

Science has solved so many mysteries that it seems almost impossible that there are questions that science may not be able to answer. There are a lot of questions still unsolved, however, and here is a small list of them: Existence of God: Religions have always stressed the presence of one or more higher beings. Science has always avoided this question. Science may not be able to answer whether God exists or what his or her purpose is. Afterlife: Life after death has been a topic of constant discussion among human beings. Scientists have been able to answer many questions regarding our birth and lives, but it seems science may not be able to tell what happens to us after we die.  Existence of Soul: similar to existence of God, the existence of souls is another mystery to science. Does the soul exist, where does it come from, and what happens to it through our lives and after our death are all tough questions for scientists to try to answer. Before Universe: What was there before our un...

In short, Suleiman's father fails him by being absent and Suleiman's mother fails him by being drunk.  Of course, there are legitimate reasons behind both actions; however, Suleiman (as a nine year old boy) does not understand them fully. Suleiman's father is most often not at home because not because he is the "successful businessman" that he has made himself out to be, but because he is involved in the underground movement of democracy in Libya.  Suleiman's father's absence creates a lot of tension in the story.  It especially creates tension for Suleiman's mother who responds to this absence by drinking too much alcohol.  This, of course, affects the way she cares for young Suleiman.  In his misunderstanding, Suleiman thinks that the bottles of alcohol are bottles of his mother's "medicine" and that her drunkenness is a sad side effect. Adults also fail Suleiman through their betrayal of his family in In The Country of Men.   The most ...

`sum_(n=1)^oo 3^n/n^3` To determine if the series is convergent or divergent, apply the ratio test. The formula for the ratio test is: `L = lim_(n->oo) |a_(n+1)/a_n|` If L<1, the series converges. If L>1, the series diverges. And if L=1, the test is inconclusive. Applying the formula above, the value of L will be: `L = lim_(n->oo) | (3^(n+1)/(n+1)^3)/(3^n/n^3)|` `L= lim_(n->oo) | 3^(n+1)/(n+1)^3 * n^3/3^n|` `L = lim_(n->oo) | (3n^3)/ (n+1)^3|` `L= lim_(n->oo) | (3n^3)/(n^3+3n^2+3n+1)|` `L=lim_(n->oo) |(3n^3)/(n^3(1+3/n+3/n^2+1/n^3))|` `L= lim_(n->oo) |3/(1+3/n+3/n^2+1/n^3)|` `L= 3/(1+0+0+0)` `L=3` Therefore, the series diverges.