Notes

Lemon juice contains organic acids. There are 3 main organic acids present in the lemon juice. Citric acid is the dominant organic acid in the lemon juice. We also have ascorbic acid and malic acid in the lemon juice. These acids are the reason lemon juice has that peculiar acidic taste.  Depending on the type or variety of lemon, the citric acid content may vary slightly. In general, lemons contain 6-8% citric acid. Lemons also have ascorbic acid (also known as vitamin C). Vitamin C is an essential nutrient for human beings and needs to be supplied to our body. Malic acid is also present in the lemon juice. Each of these acids have their unique properties and make lemon juice useful for a number of purposes. Lemon juice is used as a preservative. People often add it to food preparations and also drink lemon juice, apart from consuming lemon flavored food materials.  Hope this helps.

“The Poison Tree” is a poem about the evil effects of holding anger in. The premise is introduced in the first stanza, in which the poet explains I was angry with my friend; I told my wrath, my wrath did end. I was angry with my foe: I told it not, my wrath did grow. The rest of the poem uses language that suggests the story of the Garden of Eden and the fall of man from the Bible to show how nurturing bad feelings can be harmful. The “wrath” that is not told grows and grows until it bears “fruit,” an “apple bright” which tempts his foe and kills him when he eats it (“In the morning glad I see; / My foe outstretched beneath the tree”). I think Blake is getting at two things here. First, the untold anger leads to the “death” of the foe—in other words, the end of their relationship. Second, and more importantly, is the poet’s “gladness” at seeing his enemy defeated; in harboring the hatred, the poet has turned himself into the serpent in the Garden of Eden story, an agent of destruction,...

Georg and Ulrich hate each other so much that on the night the story takes place, they are actively hunting each other. But an interesting thing occurs when they meet face to face: They hesitate. Neither man is prepared to take another man's life. In spite of their mutual hate, something prevents them from resorting to murder: But a man who has been brought up under the code of a restraining civilization cannot easily nerve himself to shoot down his neighbor in cold blood and without a word spoken, except for an offense against his hearth and honor. After this mutual hesitation, nature takes over and pins the men beneath the tree. They are still teeming with contempt for one another. But that previous hesitation showed that they are capable of civilized behavior. Ulrich and Georg had always been hunters. But being pinned beneath the tree, they are vulnerable. In this helpless situation, they are now more like prey than predators or hunters. It is a terrifying experience and they on...

Psychologists study a wide variety of phenomena. For instance, some specialize in understanding social behavior. Others study memory, or child development, or cognitive neuroscience. But regardless of the area of specialization, you can usually categorize a piece of research in one of two ways. It's either (1) research aimed at helping people, or (2) research aimed at furthering knowledge for its own sake. For example, imagine a study designed to test the effectiveness of two different ways of teaching mathematics to young children. The researchers might call themselves "educational psychologists," but we can also say their work is designed to address a practical, real-world problem. They want to see which teaching method is better, and the results of their study can be put to immediate use. Another way to say this is that the research has clear, immediate applications. It's what scientists call "applied research." By contrast, cognitive psychologists might ...

Although there is nothing specific mentioned in the novel about the location of the family's first campsite, there are some clues that lead one to believe they probably camped on the beach close to where they landed. The text tells us that as soon as they landed, the family set about finding a suitable place to erect a tent in which to pass the night. This [they] speedily did; thrusting a long spar into a hole in the rock, and supporting the other end by a pole firmly planted in the ground, [they] formed a framework over which [they] stretched the sailcloth [they] had brought; besides fastening this down with pegs, [they] placed our heavy chests and boxes on the border of the canvas, and arranged hooks so as to be able to close up the entrance during the night. (Wyss, 1812, Ch. 1, para. 81) There are a couple of clues here that indicate the family camped close to where they landed. First, we are told they found their set-up spot "speedily." This would not have been the ca...

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. For the given series `sum_(n=2)^oo n/(nln(n))^n` , we have `a_n =n/(nln(n))^n` . Applying the Root test, we set-up the limit as: `lim_(n-gtoo) |n/(nln(n))^n|^(1/n) =lim_(n-gtoo) (n/(nln(n))^n)^(1/n)` Apply Law of Exponent: `(x/y)^n = x^n/y^n` and `(x^n)^m = x^(n*m)` . `lim_(n-gtoo) (n/(nln(n))^n)^(1/n) =lim_(n-gtoo) n^(1/n)/((nln(n))^n)^(1/n)`                                 `=lim_(n-gtoo) n^(1/n)/(nln(n))^(n*1/n)`                                 `=lim_(n-gtoo) n^(1/n)/(nln(n))^(n/n)`                                 `=lim_(n-gtoo) n^(1/n)/(nln(n))^1...

Roger is obviously evil. He is a bully; from the beginning he takes pleasure in bothering Henry by throwing rocks at him without hitting him. When he turns his aggression on the sow, he seems to take an unhealthy pleasure in jamming his spear up the animal's rectum as "the terrified squealing became a high-pitched scream." When he learns that Jack has tied up Wilfred and beat him for no apparent reason, he sits still, "assimilating the possibility of irresponsible authority." He uses that authority to roll the boulder onto Piggy, murdering him. He does so "with a sense of delirious abandonment." There is no doubt that Roger's acts are immoral. As horrific as Roger's deeds are, however, Jack's are even worse. Jack, as one of the oldest boys on the island, has a responsibility to set an example and lead the other boys in a way that will create a safe and functional society. However, he shows himself to be ultimately selfish and short-sighted,...

Rob Roy is Black Beauty's brother.  Rob Roy is killed because his leg is broken during a hunting accident. The hunt is described in chapter two of Anna Sewell's classic tale Black Beauty .  During the hunt Black Beauty is standing with his mother, Duchess, and learning about the tradition.  He is so enthralled by the killing of the hare he hardly notices two horses are down along with their riders.  One of the riders is later discovered to be George Gordon, the squire's only son.  The horse he was riding is named Rob Roy.  It is found his leg is broken, and because there is no proper manner to repair a broken leg on a horse, Rob Roy is killed to end his pain.  Sewell hints at the connection between Duchess and Rob Roy because Duchess refuses to go near the spot where Rob Roy was killed. It is not until a few chapters later that Black Beauty learns of his family tie to Rob Roy.  John Manly, the coachman, is overheard by Black Beauty talking to James Howard, the stable boy.  ...

Jackson Jackson is the main character and the first-person narrator of Sherman Alexie's short story "What You Pawn I will Redeem." He is a homeless Native American man from the Spokane tribe, living in the streets of Seattle. Jackson describes himself in various ways throughout the story, telling us that after getting married and having a family he goes "crazy," and that he may or may not have been diagnosed with asocial disorder. He also tells us that he has learned to be "an effective homeless man." We see this through the ways he has learned to survive in the city. Jackson's quest to earn back his grandmother's regalia could symbolize a few different things. Perhaps most importantly, this quest symbolizes Jackson's deeply rooted desire for family, community, and a sense of belonging. We know this because Jackson touches on these themes several times throughout the story. Everyone in the city seems to know him, including a police officer,...

A delusional disorder is a form of psychosis in which the affected person is unable to tell the difference between reality and imagination. Delusions are the hallmark of this disorder, and they are characterized as a rigid belief in something that is not based on reality. Those with delusional disorders typically experience delusions that could happen in real life, such as being stalked or poisoned. Delusional disorder was once known as paranoid disorder and is often confused with other forms of mental illness. Delusional Disorder and Hispanic Cultural Norms While it is important to remember that Hispanic culture encompasses a variety of nationalities, races and other aspects of cultural heritage, there are some common experiences that Hispanic patients with delusional disorder often face. Multiple studies have been conducted to analyze the rates of mental health issues in Latino culture, including the Mexican American Prevalence and Services Survey (MAPSS). Another key study is the Na...

When the troupe of actors comes to Elsinore and Hamlet begins to conceive of his plan to have them act out a play that is similar in its plot to the way his father was killed by his uncle (or so a ghost in the shape of his father would have him believe), Hamlet reveals one psychological reason why he has not acted on the ghost's charge to exact revenge so far: doubt. He says, I'll observe [my uncle's] looks I'll tent him to the quick. If he do blench, I know my course. The spirit that I have seen May be a devil, and the devil hath power T' assume a pleasing shape (Act II, Scene 2, lines 625-629). Hamlet worries that the spirit he saw on the ramparts was not actually his father. It is possible that the ghost is not really the spirit of his father at all and that it is actually the devil, come to persuade Hamlet to do something evil and so ruin his own soul in the process. If he can get Claudius to reveal his guilt, then Hamlet will know for sure that he was his fathe...

Given` (2y-e^x)dx + xdy = 0` =>` 2y-e^x+xdy/dx =0` =>` 2y/x -e^x/x +dy/dx=0` =>` 2y/x +y'=e^x/x` => `y'+(2/x)y=(e^x)/x` when the first order linear ordinary Differentian equation has the form of `y'+p(x)y=q(x)` then the general solution is , `y(x)=((int e^(int p(x) dx) *q(x)) dx +c)/e^(int p(x) dx)` so, ` y'+(2/x)y=(e^x)/x--------(1)` `y'+p(x)y=q(x)---------(2)` on comparing both we get, `p(x) = (2/x) and q(x)=(e^x)/x` so on solving with the above general solution we get: y(x)=`((int e^(int p(x) dx) *q(x)) dx +c)/e^(int p(x) dx)` =`((int e^(int (2/x) dx) *((e^x)/x)) dx +c)/e^(int (2/x) dx)` first we shall solve `e^(int (2/x) dx)=e^(ln(x^2))=x^2`      So proceeding further, we get y(x) =`((int e^(int (2/x) dx) *((e^x)/x)) dx +c)/ e^(int (2/x) dx)`  =`(int (x^2 *e^x/x dx) +c)/x^2` =`(int xe^xdx +c)/x^2` `=(xe^x -e^x +c)/x^2 ` =`(e^x (x- 1) +c)/x^2` `y(x) =(e^x (x- 1) +c)/x^2 `

According to Hrdy, as elaborated upon in her conclusion, advancing technological society has caused splintering of child-rearing support groups. These groups of related or nearly-related individuals are identified as alloparenting and allomothering groups. This splintering has resulted in changes to child-rearing, leaving human young with few individuals to identify with, be empathetic with and mind read with. The consequence of this change in child-rearing culture is already traceable in the diminishment of qualities that are distinctly, definitively human, a claim Hrdy backs up with contemporary studies.  Further loss of these qualities due to, as Hrdy says, rapid continuing human evolution wherein traits that are not used are lost may lead to a future of humans who lack the altruistic, intersubjective qualities that make our species empathetic, mind-reading, and collaborative--that make us, as we now define it, human. Some of these losses would be to such qualities as these: mind re...

Permanent tissues are tissues that contain non-dividing cells. As a result, they stay around for a long time and are relatively static, as opposed to meristematic tissues that contain dividing cells and are therefore usually in a state of growth and expansion. Simple permanent tissues are comprised of a single type of cell, usually in many layers; there are four major types, parenchyma (functional cells), collenchyma (flexible structure), sclerenchyma (rigid structure), and epidermis (outer skin). Complex permanent tissues are comprised of two or more types of cell in combination, usually with a complex structure that makes the cells interact with one another (otherwise they would probably be considered different tissues). Xylem and phloem are the two major types of complex permanent tissues. There are also special or secretory tissues, which form glands that excrete different substances. These three categories comprise all the different types of permanent plant tissues.

You didn't specifically mention the title, but Walden Bello's most famous work on the World Trade Organization is "The Global Conjuncture: Characteristics and Challenges", and his other work makes similar arguments so it doesn't matter too much. Written in 2001, the essay is really quite dated; it misses out on 15 years of economic development that was largely due to globalization---including the milestone that extreme poverty has now dropped below 10% for the first time in recorded history (source linked below). It has something of the feel of articles written in the 1980s about how the Internet will never take off and nobody will need more than a few megabytes of RAM. But okay, let's address the actual arguments he makes, cognizant that we now have some hindsight he lacked. Bello's basic argument is that globalization and the institutions that support it (such as the World Trade Organization and the World Bank) are largely institutions by elites, of elit...

Shakespeare's  Macbeth shows us the beginning and end of Macbeth's downfall once he embraces evil.  At the beginning of the play, Macbeth is a loyal and valiant warrior, praised by everyone, including the king of Scotland. He is given honors for his honesty and bravery, and our first impression is that things could not go better for Macbeth.  Once we examine Macbeth more closely in his soliloquies, however, we begin to understand he harbors some perilous ambitions which could change his life for good. His tragic flaw is his unrestrained ambition because he is ready to cast aside all the true values for the sake of gratifying his needs. He knows that in order to become the king, he must resort to the most illegal means—he must kill Duncan.  When Macbeth murders the king with his manipulative wife's help, his life begins to change for the worse. He manages to fulfill his ambition of taking the throne, but he loses other people's support and his own inner peace, stability...

Inside the world of the play, Lodovico has come to Cyprus in order to bring news from the Duke of Venice. He says that the Duke wants Othello to return to Venice and Cassio to take over command in Cyprus. From a narrative standpoint, though, Lodovico enters the play at this time to witness the fall into tragedy that the story takes. He sees Othello slap Desdemona (who is Lodovico's kin) and is horrified by his actions and the change in his personality. When he mentions his shock to Iago, Iago suggests that this is the new normal for Othello and that he has seen him do even worse things. In Act 5, Lodovico also witnesses Cassio's screaming and Iago's implication of the stabbed Roderigo as Cassio's assailant. At the end of the play, Lodovico is able to bring out proof of Iago's treachery in the form of letters Roderigo kept, explaining the intricacies of the plan. After he gives some lectures about the tragedy that has happened, he leaves to take the tale back to Veni...

Recall that the integral test is applicable if f is positive and decreasing function on the infinite interval `[k, oo)` where `kgt= 1` and `a_n=f(x)` . Then the series `sum_(n=1)^oo a_n` converges if and only if the improper integral `int_1^oo f(x) dx` converges. If the integral diverges then the series also diverges. For the given series` sum_(n=1)^oo 1/n^3` , the `a_n = 1/n^3` then applying `a_n=f(x)` , we consider: `f(x) = 1/x^3` .  The function is positive and as `x` at the denominator side gets larger, the function value decreases. Therefore, we may determine the convergence of the improper integral as: `int_1^oo 1/x^3 = lim_(t-gtoo)int_1^t 1/x^3 dx` Apply the Law of exponent: `1/x^m = x^(-m)` . `lim_(t-gtoo)int_1^t 1/x^3 dx =lim_(t-gtoo)int_1^t x^(-3) dx` Apply Power rule for integration: `int x^n dx = x^(n+1)/(n+1).` `lim_(t-gtoo)int_1^t 1/x^3 dx =lim_(t-gtoo)[ x^(-3+1)/(-3+1)]|_1^t`                              ` =lim_(t-gtoo)[ x^(-2)/(-2)]|_1^t`                             `=l...

I think you are referring to the form of government that the United States and some other countries have, with a legislative organ, an executive organ, and a judicial organ.  We usually refer to these as branches of government.  When we make reference to the judiciary, we often mean the Supreme Court of the United States, which is meant to have nine members, although there is a vacancy at the moment.   The Supreme Court was established by Article III of the Constitution.  The legislative branch, Congress, has established other courts below the Supreme Court, federal district courts and federal circuit courts.  The district courts are throughout the United States, and they are trial courts to make determinations about federal laws and the Constitution.  The circuit courts are appellate courts, and anyone has the right to appeal a district court decision to the circuit court.  From the circuit court, one may ask the Supreme Court to review the decision, but it is up to the Supreme Court ...

Arguably the most tragic element of Chekhov's The Cherry Orchard is the auctioning off of the titular cherry orchard which belongs to Lyubov Andreyevna Ranevskaya and her brother, Leonid Andreieveitch Gayev. The orchard must be sold off in August to the highest bidder in order to pay off the debts of the family; the only alternative option—the destruction of the orchard to make room for summer cottages—does not appeal to this sentimental family. Other tragic elements within the play include: - The death by drowning of Ravenskaya's son, Grisha, a tragedy which prompted her to run off to France for five years and leave the ancestral estate unattended, and which is brought back to the surface by the arrival of Peter Trofimov, Grisha's former tutor. - Ravenskaya's subsequent suicide attempt, which prompted her daughter, Anya, to bring her back from France. - The heartbreak of Dunyasha, whose feeling are selfishly toyed with by a fellow servant, Yasha.  - The strange passiv...

Cause related marketing (CRM) is an advertisement campaign where companies link products with social causes.  The effect is to convince the consumer the product is a win-win.  The consumer gets the products and the company provides some compensation towards the social cause.  However, disreputable companies may use CRM to advertise inferior products or fail to deliver on the promise of support to the cause. CRM has been around since the mid-1970s, although it has surely been around for much longer without formal recognition.  The goal is two-fold for the company.  First, by tying a product to a social cause the company hopes to increase sales beyond the cost of supporting the cause, thereby earning a profit.  Secondly, the company is seeking to connect the franchise name with charitable works and gain market share via positive association.  The consumer is expecting to receive a product they would most likely purchase anyway with the benefit of supporting a social cause.  When the two ...

`int (5+4x^2)^2dx` To solve, expand `(5+4x^2)^2` . `= int [(5+4x^2)(5+4x^2)]dx` `= int (25+20x^2+20x^2+16x^4)dx` `= int (25+40x^2+16x^4)dx` To evaluate this integral, use the formulas: `int adx = ax + C`  `int x^n dx = x^(n+1)/(n+1) + C` Applying the formulas, it results to `= 25x + (40x^3)/3 + (16x^5)/5 + C` Therefore, `int (5+4x^2)^2dx =25x + (40x^3)/3 + (16x^5)/5 + C` .

This quote is a play on the adage, "Give a man a fish, and he will eat for a day. Teach a man to fish, and he will eat for a lifetime." Marx's alteration of the second half is a commentary on the the ways in which business can exploit personal needs and capabilities. One of the basics of business is the relationship between supply and demand. In the case of this quote, the demand is for fish. If a man does not know how to fish (or otherwise acquire food,) he must buy fish from someone else. The supply is coming from someone who does know how to fish and can profit by selling their fish to others.  The man who knows how to fish and sells what he catches can be considered to be exploiting the needs of the man who does not know how to fish. Many businesses supply goods and services that others cannot perform for themselves. While this is a reasonable course of action and business model, as not everyone can know how to do everything on earth, the moral or ethical debate has t...

I think that the tone of this short story shifts during the story.  In the beginning of the story, the tone is one of loneliness.  The house in the story is smart, but Bradbury has given the house an emotional base as well.  The house knows that something is wrong, and it is worried about the absence of the people.  The house feels lonely, and that tone is carried out in how the house keeps asking its questions despite never being answered.  That tone moves from loneliness to fear as the house realizes that it is alone.  Until this day, how well the house had kept its peace. How carefully it had inquired, "Who goes there? What's the password?" and, getting no answer from lonely foxes and whining cats, it had shut up its windows and drawn shades in an old maidenly preoccupation with self-protection which bordered on a mechanical paranoia. It quivered at each sound, the house did. If a sparrow brushed a window, the shade snapped up. The bird, startled, flew off! No, not eve...

In Flannery O'Connor's "A Good Man is Hard to Find," the Misfit is an escaped convict who has been in jail for murdering his father. Of course, the Misfit claims that his father "died in nineteen ought nineteen of the epidemic flu" and that he is innocent. When the grandmother asks the escapee why he thinks he went to jail, though, he says that he can't remember. It is interesting how he describes himself because he mentions many normal life experiences that he has had. For example, the Misfit says that he served in the armed forces, was married twice, and has worked on railroads, on farms, and as an undertaker. These jobs all seem honorable compared to a criminal's life and prison. However, what the Misfit says about himself is different than how he acts because he and his buddies kill a young family of four along with the grandmother, which doesn't seem to equal any type of normal or honorable life. Based on the fact that actions speak louder t...

Throughout the novel, Atticus Finch is subjected to criticism by the prejudiced community members of Maycomb for his decision to defend Tom Robinson. Atticus is even targeted and ridiculed by his own family members. In Chapter 9, Francis Hancock tells Scout, "I guess it ain’t your fault if Uncle Atticus is a nigger-lover besides, but I’m here to tell you it certainly does mortify the rest of the family— " (Lee 52). Francis' comment depicts his family's negative views of Atticus. Francis' grandmother, Aunt Alexandra, believes that Atticus is ruining the family's reputation by defending a black man. Scout and Jem are even subjected to derogatory comments aimed at their father by racist community members. In Chapter 11, Mrs. Dubose tells the children, " Your father’s no better than the niggers and trash he works for! " (Lee 64). Mrs. Dubose's comment is prejudiced towards Atticus and portrays her unapologetic, racist beliefs. During Aunt Alexandra...

According to Klaus von Lampe, the term "organized crime" first developed in the  early 1920s, after the founding of the Chicago Crime Commission in 1919. The commission, organized by civic leaders, focused on reforming the criminal justice system and conditions in society that gave rise to crime. The public was seen as too soft on criminals, and the criminal justice system was seen as inept in persecuting criminals. In the mid 1920s and into the Depression, the focus on organized crime turned to gangsters and syndicates who, like Al Capone, who was deemed the number one "Public Enemy." While earlier media coverage of organized crime focused on reforming local conditions to reduce crime, the media in the 1920s turned to vilifying gangsters, who became the focus of law enforcement nationwide. By the 1950s, the Kefauver Commission under Estes Kefauver targeted organized crime nationwide and referred to its target as the "mafia" (also sometimes known as the ...

The metaphoric path that elderly Phoenix Jackson treads is long established. She is a woman who has toiled throughout her long life, and the journey she takes in the story is common to many women: she is looking after a child—in this case, her grandson. The path has deeper symbolism because Phoenix is African American, elderly, and remembers the end of the Civil War. She is first patronized, then menaced, by a white man with dogs, a familiar narrative in a country with a history of slavery. He pulls a gun on her, but she is unmoved, clearly having endured this type of affront in the past. When he drops a nickel, she patiently waits for an opportunity to retrieve it, saying nothing, because she has learned guile as a survival technique. Near the story's end, Phoenix is patronized again when she is called "Grandma" and subjected to humiliation by being called a charity case in the clinic. She accepts not only the medicine for her grandson, but also a nickel offered patroniz...

Recall that indefinite integral follows `int f(x) dx = F(x) +C` where: `f(x)` as the integrand function `F(x)` as the antiderivative of `f(x)` `C` as the constant of integration. The given integral problem: `int 1/(x^2sqrt(2+9x^2)) dx` resembles one of the formulas from the integration table. We follow the integral formula for function with roots as: `int 1/(u^2sqrt(a^2+u^2))du =- sqrt(a^2+u^2)/(a^2u) +C` We apply u-substitution by letting: `u^2 = 9x^2` or `(3x)^2` then `u = 3x`  or `x=u/3` . For the derivative of u, we get: `du = 3 dx` or `(du)/3 = dx` . Note: The corresponding value of `a^2=2` . Plug-in the values of `u = 3x` , `x=u/3` and `(du)/3 = dx` , we get: `int 1/(x^2sqrt(2+9x^2))dx=int 1/((u/3)^2sqrt(2+u^2))* (du)/3`                                `=int 1/(u^2/9*sqrt(2+u^2))* (du)/3`                                `=int 9/(u^2sqrt(2+u^2))* (du)/3`                                `=int (3 du)/(u^2sqrt(2+u^2))` Apply the basic integration property: `int c*f(x) dx = c int f(x) dx...

The quilts are valuable to Dee because she is eager to take proofs of her heritage back home with her.  She has suddenly become interested in having items that were hand-made by family members; however, those items are still being used by her mother and sister.  Despite this, Dee wants to take them and turn them into "something artistic," something decorative, like a centerpiece.  She's not interested in the stories behind these items, who made them and when.  She's only interested in having pieces of her heritage to show off to others.  That's why she would hang the quilts on the wall instead of actually use them. For Maggie, the quilts are valuable because they are something that she will make use of and because they are something which she has been promised.  In a family where her sister got everything -- new clothes and shoes, books, an education away from home -- Maggie has had very little of her own.  However, Mama promised these quilts to her and they are m...

We are asked to write the equation of the parabola with vertex at the origin and directrix x=11: The equation of a parabola with vertex at the origin and focus at (a,0) is `y^2=4ax ` ; the parabola opens to the right if a>0 and to the left if a<0. The vertex is the midpoint of the perpendicular segment drawn from the focus to the directrix. Here the focus will be at (-11,0) so the equation we seek is `y^2=-44x `

This is a big question, one that drives a lot of the novel's tension. First of all, if you haven't already done so, you should definitely read Ishiguro's  Never Let Me Go  because it is a beautiful, powerful, and strange story.  Kathy is the first-person narrator of  Never Let Me Go , so right away Ishiguro gives us an intimate connection to Kathy, as well as seemingly complete access to her thoughts. Kathy controls how we view the entire story and its characters, including her own character. Kathy's POV, however, can be frustrating at times. Ishiguro, through Kathy's narration, depicts Kathy as rather hesitant and unsure. Many times throughout the story, Kathy doubts the quality of her own memory, telling us that she can't be sure the way she recalls something is how it actually happened. Kathy's actions and life events, however, starkly contrast with her hesitant storytelling—Kathy is one of the oldest carers, and therefore one of the story's survivors...

Helen got an illness when she was about a year old that left her blind and deaf. Helen started life as a normal baby.  She walked at one year old.  She was very intelligent.  However, when she was nineteen months old, she contracted a terrible illness.  She recovered, but with a tragic loss of senses. Then, in the dreary month of February, came the illness which closed my eyes and ears and plunged me into the unconsciousness of a new-born baby. They called it acute congestion of the stomach and brain. The doctor thought I could not live.  (Ch. 1) The exact illness is not specified, but doctors called it “acute congestion of the stomach and brain.”  They did not expect Helen to live.  She was in great pain.  She recovered, but her intellectual growth was stagnated by the fact that she could no longer hear or see.  It is hard to learn language when you can’t hear.  Helen had not been talking much yet since she wasn’t even two years old.  She had to learn to make do. My hands felt every o...

The question seems to have two different unrelated parts, one having to do with a novel and one concerning the nature of post-structuralism.  First, post-structuralism is a general rubric covering many specific types of theory, including theories about gender, language, and political and social structures. It is rarely applied to the sciences as its main focus is on social construction of understanding. Where it would apply to science is not so much in judging whether a theory is accurate but in looking at how our assumptions influence the way we approach science. For that reason, evaluating the big bang theory may not be the best way to demonstrate an understanding of post-structuralist thinking. If you're interested in considering something scientific, I'd recommend looking at something in the realm of science that has a strong social component so you can think about the assumptions people bring to bear on scientific concepts. A good area to discuss might be something like ou...

On one hand, I think Miller might have added this fictional affair because it provides Abigail with a really concrete reason, a very strong motivation, to continue making accusations: she wants to eliminate John Proctor's wife and have him all to herself. Abigail's willingness to accuse innocent people like Elizabeth really characterizes her as incredibly manipulative, conniving, and malicious. On the other hand, Miller might have added this fictional affair because it problematizes the character of John Proctor. He is not some perfect and guiltless man; he is a sinner, and he feels terrible guilt for his affair with Abigail. John initially thinks of himself as a fraud as a result of his affair with Abigail, and his struggle to regain his self-respect and sense of his own goodness is a major component of the play.  His internal conflict is, in many ways, even more important than the external conflict. It is, in the end, John's personal redemption that matters most to him (a...

In Shirley Jackson's disturbing story, the characters are differentiated from one another by their attitudes about the lottery. And, while there are some points that may be interpreted as suggestive of Tessie's being "singled out," the only substantial evidence for Tessie Hutchinson's selection as the scapegoat is the random drawing done by her husband, Bill Hutchinson. On the day of the traditional lottery, the boys hurriedly fill their pockets with stones and some form huge piles of them, while the girls stand apart as they talk among themselves. The smallest children roll in the dust or hold tightly to the hand of an older sibling. When the men gather, they talk quietly and uneasily among themselves; they merely smile at a joke, rather than laugh. The women exchange tidbits of gossip; then they call their children to them and take their place beside the head of their family. Bringing with him an old black box, Mr. Summers, who directs the lottery, calls everyon...

In this chapter, Helen Keller describes her life from the time she overcame her illness until just before her teacher Anne Sullivan came.  Since she had become blind and deaf at such a young age, Helen found it hard to communicate with others and did not experience the world like most little kids. I understood a good deal of what was going on about me. At five I learned to fold and put away the clean clothes when they were brought in from the laundry, and I distinguished my own from the rest. I knew by the way my mother and aunt dressed when they were going out, and I invariably begged to go with them.  (Ch. 2) Little Helen Keller found it frustrating when she could not talk, the way others did.  She had the capability to talk, but did not know language.  She was too young when she got sick.  As a result, she was curious and annoyed when others talked with their mouths instead of making signs, as she had to do. I do not remember when I first realized that I was different from other peo...

`x/(x^2-9)+(x+1)/(x^2+6x+9)` Apply the following identities to factorize the denominators of the above rational functions: `a^2-b^2=(a+b)(a-b)`  and `a^2+2ab+b^2=(a+b)^2` `x/(x^2-9)+(x+1)/(x^2+6x+9)=x/(x^2-3^2)+(x+1)/(x^2+2x(3)+3^2)` `=x/((x+3)(x-3))+(x+1)/(x+3)^2` LCD of the above expression is `(x-3)(x+3)^2` `=(x(x+3)+(x+1)(x-3))/((x-3)(x+3)^2)`  `=(x^2+3x+x^2-3x+x-3)/((x-3)(x+3)^2)` Combine the like terms of the numerator, `=(x^2+x^2+3x-3x+x-3)/((x-3)(x+3)^2)` `=(2x^2+x-3)/((x-3)(x+3)^2)` Factorize the numerator by splitting the middle term, `=(2x^2-2x+3x-3)/((x-3)(x+3)^2)` `=(2x(x-1)+3(x-1))/((x-3)(x+3)^2)` `=((2x+3)(x-1))/((x-3)(x+3)^2)`

Given to solve , `int 4/(csc(theta)-cot(theta)) d theta` just for the convenience let` x= theta` so,` int 4/(csc(theta)-cot(theta)) d theta` =`int 4/(csc(x)-cot(x)) d x` =`int 4/((1/sin(x))-(cos(x)/sin(x))) d x` =`int 4/((1-cosx)/sinx) dx`  = `int 4sinx/(1-cosx) dx`----------(1) let `u = 1-cosx` => `du=sinx dx` so , the equation (1) implies  `int 4sinx/(1-cosx) dx` = `4 int (1/u) du` = `4 ln(u)+c` = `4ln(1-cosx)+c` but `x= theta` , so = `4ln(1-costheta)+c`

Madame Matilda Loisel, the main character in Guy De Maupassant's short story, "The Necklace," is a dynamic character whose attitude and perspective about life goes through changes over the ten years she spent repaying her debt.  In the beginning of the story, Madame Loisel is obsessed with status and money. She is dissatisfied with her station in life. She was born into a family of low status. She takes a husband who is a lowly clerk, and she is dissatisfied with the modest home she lives in. Following is an example of her desires from the text: "She suffered endlessly, feeling herself born for every delicacy and luxury. She suffered from the poorness of her house, from its mean walls, worn chairs, and ugly curtains. All these things, of which other women of her class would not even have been aware, tormented and insulted her. The sight of the little Breton girl who came to do the work in her little house aroused heart-broken regrets and hopeless dreams in her mind. ...

You would need to confirm with your teacher or whomever assigned the original question, but it is most likely referring to Gatsby and Nick.  These are two characters who, despite seemingly having everything and doing what society expected of them, were not fulfilled and did not earn their individual "American Dream" at the end of the novel.  Gatsby rises from the child of poor farmers in the midwest to a man everyone recognizes in New York City.  He throws extravagant parties and has an excessive amount of money, but none of that is enough to get him what he truly desires. On the surface, that desire seems to be Daisy, but as the novel progresses, the reader realizes that Daisy is more than just a woman to Gatsby: she represents youth and beauty and everything he couldn't have when he was poor. At the end of the novel, he loses Daisy and his life when he's forced to confront the idea that Daisy cannot be everything he needs and wants her to be. He dies still clinging ...

Given to solve `int x^5 ln(3x) dx` let `u= ln(3x) ,u' = (ln(3x))'` =`(1/(3x))*(3) = 1/x` so `u' = 1/x` and `v'= x^5 => v= x^6/6 ` by applying the integration by parts we get, `int uv' dx= uv - int u'v dx` so, `int x^5 ln(3x) dx ` =`(ln(3x))(x^6/6) - int (1/x)(x^6 /6) dx` = `(ln(3x))(x^6/6) - (1/6) int (1/x)(x^6 ) dx` =` (ln(3x))(x^6/6) - (1/6) int (x^5 ) dx` = `(ln(3x))(x^6/6) - (1/6) int (x^5 ) dx` = `(ln(3x))(x^6/6) - (1/6) [x^6 /6]+c` = `ln(3x)x^6/6 - 1/36 x^6 +c` = `x^6/6(ln(3x)-x^6/6) + c`

Bruno is a nine-year-old boy who initially lives with his family in Berlin, Germany. The novel takes place during WWII and Bruno's father, a Nazi Commandant, is sent to manage the concentration camp at Auschwitz. Bruno is not happy that his family has decided to move to a new home called "Out-With." As the novel progresses, Bruno becomes friends with a Jewish prisoner named Shmuel who lives on the other side of the fence. Throughout their conversations, Bruno tells Shmuel that Germany is the greatest nation on earth and expresses pride in his German heritage. Bruno's beliefs reflect his upbringing and the indoctrination of the Nazi youth. However, Bruno is too young and innocent to realize the gravity of the situation. The Third Reich was not only attempting to take over Europe in the 1940s, but they were also involved in the systematic annihilation of the Jews. Despite the fact that Bruno grew up in a Nazi household, he is not prejudiced towards the maids or Jewish p...

The Industrial Revolution made countries powerful in the 1900's.  In many respects, the Industrial Revolution was a separator between powerful states and ones that would woefully lag behind.  Geography and political stability were important factors in whether a country could industrialize or not.  Countries that saw an increase in manufacturing because of the utilization of machines were advantaged in a number of ways.  First, it was easier to mass produce weapons that were on the cutting edge of battlefield technology.  Second, the increase in wealth, and by extension, tax revenues allowed industrialized nations to invest in their defense industries.  A third reason that industrialization made nations powerful is because it helped them to expand their empires.  Industrialized nations looked to other lands to acquire natural resources and markets.  These lands provided both economic and military benefits to those nations.  

The central idea shared by these two stories is that it is impossible to escape death.  In "The Tell-Tale Heart," the narrator develops an aversion to the old man's "vulture eye," a metaphor .  The vulture is associated with death, as is old age (which has caused what are likely cataracts in the old man's eye), and it begins to become apparent that the narrator is so anxious to rid himself of the eye, a reminder of his own mortality, that he kills the old man.  However, the narrator himself is unaware of what is really bothering him; he thinks it's just about the eye, without realizing what the eye symbolizes.  Thus, Poe uses dramatic irony -- when the audience knows more than the character -- to build tension and suspense in the story, leading up to the narrator's murder of the old man and his eventual confession, a confession necessitated by his own anxious heartbeat rather than the dead old man's, as he believes. In "The Masque of the Re...

Yes, plants need and use oxygen to process glucose.   Not every plant cell has access to sunlight energy in order to perform photosynthesis.   In order to make energy in those cells, the plant must burn sugar.  This process is called cellular respiration, and it is the same process that humans do in order to make ATP energy.  The process occurs in the mitochondria of a cell, and plants do indeed have mitochondria in their cells.  Cellular respiration has a lot of steps within it, but the basic formula is the following: sugar + oxygen --> carbon dioxide + water + energy That formula is basically the reverse formula from photosynthesis.  The photosynthesis formula is the following: carbon dioxide + water + sunlight --> sugar + oxygen As you can see, the products of photosynthesis are the raw materials needed for cellular respiration.  Plants don't eat in order to consume glucose, because the plant produces it.  The plant then takes the sugar that it produces and burns it during...

Since you are asking about the election itself, I assume you are not asking for an evaluation of candidates but rather of the election process and the media coverage of the election. My own sense is that there are far more cons than pros. Much of the election coverage has, in part due to the antics of Donald Trump, been reduced to tweets and gossip rather than focusing on issues and policy details. It reveals a very highly polarized society, often prey to sensationalism rather than reason, where truth and fact checking are replaced by partisanship. Much of the populace seems frustrated with the political process. On a positive side, many of the procedural problems and tricks that have been used, especially by the Republicans, to make the election process undemocratic, are being revealed, including egregious gerrymandering and putting in place rules that are intended to prevent minorities and the poor from being able to vote. The election is making these tactics obvious and many groups ...

In Chapter 8, Ralph mentions that the boys would never be able to defeat a beast and that they would run the second they encountered it. Jack then says, " What about my hunters? " (Golding 125). Ralph responds by saying, " Boys armed with sticks " (Golding 125). Jack then becomes upset and blows the conch to hold a meeting. Jack begins by telling the boys that there is definitely a beast on the mountain and that Ralph doesn't think that the hunters are any good. Jack then says that Ralph commented that the hunters were cowards, and Ralph is not fit to be chief because he likes Piggy. Jack proceeds to call Ralph a coward and holds a vote on whether or not Ralph should be the chief. When nobody raises their hand in agreement that Ralph should not be the chief, Jack says,  " All right then...I'm not going to play any longer. Not with you...I'm not going to be a part of Ralph's lot " (Golding 127).  Jack then turns to walk away and says, "...