Notes

Winters are cold for two main reasons.  Both of these reasons come about because of the fact that the Earth tilts on its axis.  When the Earth tilts, sun comes to hit one of its hemispheres more directly and the other less directly.  The hemisphere which the sun hits less directly gets colder. The first reason has to do with the length of the day.  As the Earth tilts, the sun “moves” farther towards the equator.  When this happens, days at higher latitudes get shorter and shorter in terms of how long the sun is above the horizon.  Because the sun spends less and less time above the horizon, it has a much shorter time during which it can heat the atmosphere. When the Earth tilts on its axis, the angle at which the sun’s rays hit Earth also changes.  During the summer, the sun’s rays hit the Earth at an angle that is close to 90 degrees.  This means that the light points (more or less) straight down at the Earth.  The light does not have to pass through much of the atmosphere before it h...

There are several possible answers, and the circumstances would have to be more specifically defined to identify the most likely explanation. Some windows are double-paned to provide soundproofing. The second pane essentially provides a barrier and additional layer of material through which the sound waves, which are just vibrations in air molecules, need to pass before they can reach you. The more material they have to pass through, the lower the energy by the time you hear it, and therefore the quieter the sound.  Double-paning can also provide insulation, especially if the space between the panes is filled with some kind of transparent insulating material—some inert gases such as krypton are used in commercial products. As with the sound waves, the gap provides an additional layer of material which any heat must excite and pass through, which can serve to prevent heat from entering or escaping.  Finally, double paning can provide some degree of shatter resistance, especially if one ...

In Kate Chopin's "A Pair of Silk Stockings," when she unexpectedly finds that she has an extra fifteen dollars, Mrs. Sommers first considers the needs of her children. Because "[T]he question of investment was one that occupied her greatly," Mrs. Sommers deliberates so intensely that she walks around for one or two days, barely conscious of her surroundings. Instead, she is "absorbed in speculation and calculation" because she does not wish to act rashly and later regret her actions. In fact, she lies awake calculating how she will slightly increase the amounts that she would usually spend on each child, and how she can make the best use of her windfall. With "the needs of the present absorb[ing] her every faculty," this mother rides the cable car to town. However, when she arrives, Mrs. Sommers feels rather faint because in her preoccupation she has forgotten to eat lunch. So, as she enters a department store, Mrs. Sommers is "a little ...

At the beginning of Harper Lee's  To Kill A Mockingbird,  Jem and Scout believe that Boo Radley is a monstrous menace who's been locked away in his family's home to prevent him from wreaking havoc on society. It is believed, for instance, that he stabbed his father with a pair of scissors, and so Jem and his sister see Boo as some kind of boogeyman. However, Jem begins to realize the truth behind Boo's reputation when he and Scout begin finding gifts in the knothole of a neighborhood tree. Gradually, Jem understands that Boo is leaving the gifts for them, and so he suspects that Boo is far kinder than the local rumors would suggest. Jem's opinion of Boo is further changed by his experience of Maycomb's prejudice later on in the book. Witnessing his neighbors' senseless racism in the wake of the Tom Robinson trial, Jem theorizes that Boo is not being locked away against his own will; instead, the local recluse remains locked up to voluntarily stay away from s...

To determine the power series centered at c , we may apply the formula for Taylor series : `f(x) = sum_(n=0)^oo (f^n(c))/(n!) (x-c)^n` or `f(x) =f(c)+f'(c)(x-c) +(f''(c))/(2!)(x-c)^2 +(f^3(c))/(3!)(x-c)^3 +(f'^4(c))/(4!)(x-c)^4 +...` To list the ` f^n(x)` for the given function `f(x)=2/(6-x) ` centered at `c=-2` , we may apply Law of Exponent: `1/x^n = x^-n`  and  Power rule for derivative: `d/(dx) x^n= n *x^(n-1)` . `f(x) =2/(6-x)`       `=2(6-x)^(-1)` Let `u =6-x` then `(du)/(dx) = -1` `d/(dx) c*(6-x)^n = c *d/(dx) (6-x)^n`                          `= c *(n* (6-x)^(n-1)*(-1)`                         ` = -cn(6-x)^(n-1)` `f'(x) =d/(dx)2(6-x)^(-1)`            `=-2*(-1)(6-x)^(-1-1)`            ` =2(6-x)^(-2) or 2/(6-x)^2` `f^2(x) =d/(dx) 2(6-x)^(-2)`             `=-2(-2)(6-x)^(-2-1)`             `=4(6-x)^(-3) or 4/(6-x)^3` `f^3(x) =d/(dx)4(6-x)^(-3)`             `=-4(-3)(6-x)^(-3-1)`             `=12(6-x)^(-4) or 12/(6-x)^4` `f^4(x) =d/(dx)12(6-x)^(-4)`             `=...

William Shakespeare's tragedy Macbeth is a study in the character development of an anti-hero. When the play starts, Macbeth is a real hero—having just helped King Duncan's forces win a key battle that led to the defeat of the rebel enemy. Macbeth is rewarded with a new title: Thane of Cawdor. Thanks to the witches' prophecy, though, Macbeth, and then Lady Macbeth, begin to burn for King Duncan's throne. They eventually achieve it with a sneaky, bloody murder. Although the murder creates the desired result—Macbeth quickly becomes king—the pressure begins to build on both Macbeth and Lady Macbeth in the form of paranoia. Macbeth remembers the witches didn't only prophecy his rise to royalty; they also said that Banquo's "issue" (his children, grandchildren, and so on) would one day rule. Obviously, that means that at some point Macbeth or his lineage will lose the throne, so Macbeth immediately begins to worry about Banquo and Banquo's son Fleance:...

Danforth proves his bias in Act Three when he says that witchcraft is an invisible crime, and only the witch and her victim may be aware of it.  So, since the court cannot rely on the witch to accuse herself, the court must rely on her victims to testify, and the children do.  He says, "As for the witches, none of them will deny that we are most eager for all their confessions."  Therefore, even prior to a trial or questioning, Danforth assumes the guilt of all the accused.  Further, he tells John Proctor that it is the "contention of the state [...] that the voice of Heaven is speaking through the children."  He is biased in favor of the girls, believing that they not only speak the truth but serve as God's mouthpiece. In Act Four, Danforth shows that he cares more about his reputation and authority than he does about finding the truth.  Even after learning that Abigail has robbed her uncle and fled Salem, he refuses to consider postponing the day's hanging...

Montresor never mentions even one of the "thousand injuries" that Fortunato has supposedly inflicted upon him:  The thousand injuries of Fortunato I had borne as I best could, but when he ventured upon insult I vowed revenge.  Montresor also does not detail what the "insult" was. The reader could simply take Montresor's word for it, but that is an assumption. A narrator establishes himself as a reliable source by providing explanations and reasons for his statements. Montresor never does this with the injuries and insults.  Montresor also brags about his ability to hide the truth:  It must be understood that neither by word nor deed had I given Fortunato cause to doubt my good will.  Montresor proves how he can lie to and manipulate Fortunato. Since he is directly addressing the reader, who's to say he is not being a manipulative narrator as well?  Some have suggested that Montresor's French name implies that he is new to Italy and therefore, he would ha...

Near the end of chapter seven, Myrtle Wilson is struck and killed by Gatsby's car as it passes through the Valley of Ashes on the way to East Egg from Manhattan.  Michaelis, the coffee shop owner, is the first to reach her after the impact.  It is later determined that he had been feeling concerned about George Wilson's unusual behavior and proclamation that he and Myrtle would be moving soon.  Wilson is inconsolable in the wake of the accident and doesn't respond to attempts to comfort him.   In chapter eight Nick discloses that Michaelis and a number of men stayed with George until dawn.  Around 3:00 a.m., George Wilson becomes more focused and tells Michaelis that he knows Myrtle was running toward a man when she was "murdered" and that he has a way of finding out who did it.   Michaelis and the other men who sit with George Wilson through the night are clearly concerned that George is wild with grief and may intend to do harm to himself or someone else.

In the book, Robert Neville's father was named Fritz. When Fritz was alive, he insisted that his logical temperament would never permit him to accept the existence of vampires. A fan of the scientific method, Fritz needed substantive proof before he could ever admit the possibility of such an incredible hypothesis. Robert states that his father died "denying the vampire violently to the last." Fritz's unyielding position reinforces Robert's claim that "THE STRENGTH OF THE vampire is that no one will believe in him." Much of what we know about Fritz is told through Robert's perspective. For his part, Robert actually resents the fact that he takes after his father. He feels that, like his father, he is sometimes too obsessed with orderliness and too preoccupied with facts and logical arguments. He later comes to appreciate the trait of orderliness that he has inherited from his father, though. Grudgingly, almost amused, he soon had a place for everythi...

Hello! Kepler's first law states that an orbit of a planet around the Sun is an ellipse with the Sun being at one focus of it. Our problem is close enough: the Milky Way Galaxy may be considered as a sun (large central body), and the Sun may be considered as a planet orbiting it. I assume this ellipse is almost a circle, because in the opposite case the speed of the Sun would be different at the different points of its trajectory. Denote the radius of this orbit as `R,` it is given, and the speed as `V,` it is unknown. Also denote the given mass of the Milky Way Galaxy as `M` and the Sun's mass as `m,` it is about `2*10^(30) kg.` Then the Newton's Law of Universal Gravitation tells us that the gravity force `F` is `G*(M*m)/R^2,` so by Newton's second law the acceleration is `F/m = (GM)/R^2.` We also know that the acceleration of a body in uniform circle motion is `V^2/R,` so `(GM)/R^2 = V^2/R,` or `V^2 = (GM)/R,` or `V = sqrt((GM)/R) = sqrt((G*10^11*m)/R).` Numerically ...

There could be a few answers to this question. If you were referring to the United States of America, then the first written constitution would be the Articles of Confederation. After the colonists won their independence from Great Britain, they needed to have a plan of government. The colonists wanted to be sure that the new government wouldn’t be able to abuse its powers. This was one of the reasons why they fought for their freedom from Great Britain. They believed the King was abusing his power. Thus, the government created by the Articles of Confederation created a weak federal government. For example, the federal government couldn’t levy taxes or make people join the military. The states held most of the power during the time when the Articles of Confederation was our plan of government. If you were referring to the first written constitution in the American colonies, it would be the Fundamental Orders that was written in Hartford, Connecticut mainly by Roger Ludlow. Representati...

Kevin loves his mom dearly and tries his best to do what she tells him to. You can tell this by the way he obeys her when she tells him to leave the moving crew alone in Chapter 2, and by how he responds instantly to her call to come home to dinner in Chapter 4, when Kevin was hanging out with Max at his house when they first met. At the same time, Kevin keeps his most serious dream a secret from her: the dream of being upgraded to a robot body. It may be because Kevin realizes it's an impossible dream, and he wants to protect his mom from the knowledge of his own false hope. Kevin is also aware that his mother, whose first name is Gwen, is exceptionally beautiful. He calls her "the Fair Gwen," or the "the Fair Guinevere," meaning "the beautiful Gwen." It's a reference to Arthurian legend, so you might say that by comparing his mother to a beautiful legendary queen, Kevin is showing his love and admiration for her. (Check out how excited he is in ...

New Historicism attempts to understand what a text tells us about currents of thought at the time it was written. From this approach, Great Expectations can be seen as a commentary on the rise of new types of wealthy English people and their attempt to emulate the manners and education of gentlemen and gentlewomen. When Pip mysteriously comes into his fortune, he is working as a blacksmith's apprentice in Kent. After receiving his money, he travels to London and attempts to turn himself into a gentleman by dedicating himself to studying the classics, learning how to eat properly, and largely abandoning himself to idleness and sports such as rowing. However, while he becomes more learned, he never really feels like a gentleman, and when his money runs out, he returns to Kent and to feeling more comfortable alongside Joe, the kind but unlearned man who raised him. Using the approach of New Historicism, the reader can understand that Dickens is critiquing the ability of the new indus...

One of the largest challenges that teachers face in the classroom is knowing where students are in their processing of content.  In other words, teachers struggle with knowing if their students "got it." I am confident that many teachers stand in front of the classroom, instruct students on content, and are convinced that they have done the best possible job.  However, the lingering question is if the kids "get it."  The best instruction is meaningless if the students cannot show they understood the content.  This situation can be alleviated through the use of technology.  Teachers can have students use mobile devices to display their learning while a lesson is ongoing. One way is if a teacher can set up an account whereby students send text messages answering specific questions during the instructional process. For example, in an Algebra lesson on the FOIL process, teachers can take breaks and ask students to text answers to specific questions.  Teachers can review...

There is definitely a strong theme of family and friendship in  Freak the Mighty.  What's nice about this story is that the family and friendship theme is not always a nice "feel good" theme, either. For example, Max's real dad is a horrible person. Kane killed Max's mother in front of Max. Max goes through the entire novel being terrified of his father and wanting nothing to do with him. Max hates the very genetics that he holds inside of himself. It's not a fun way to look at family, but I appreciate how the author shows that not all families are perfect and wonderful. Grim and Gram are Max's grandparents, so they are family to Max. They take care of Max and treat him well, but they are not the emotional core of Max or the story. Kevin is the emotional anchor for Max. Their relationship clearly illustrates a theme of friendship. This story is not about having lots of friends. This story is about the importance of having a good, close friendship. Max and ...

Direct characterization occurs when the narrator of a story tells the audience what a character is like. A character in the story may state the direct characterization as well.  In "Two Kinds," Jing-mei is the narrator of the story, and there are several times when she directly describes what her mother is like.  The opening paragraph is a good place to look.  My mother believed you could be anything you wanted to be in America. The quote directly tells readers about a basic belief that Suyuan has.   Indirect characterization occurs when an author shows readers what kind of person a character is through that character’s thoughts, words, and deeds. Indirect characterization requires readers to make inferences about why a character would behave in a particular manner.   In "Two Kinds," I would describe Jing-mei as stubborn, a description I came up with by looking to examples of indirect characterization. The narrator of this story, Jing-mei, is never explicitly descri...

Arc length of a curve C described by the parametric equations x=f(t) and y=g(t),`a<=t<=b` , where f'(t) and g'(t) are continuous on [a,b] and C is traversed exactly once as t increases from a to b , then the length of the curve C is given by: `L=int_a^bsqrt((dx/dt)^2+(dy/dt)^2)dt` Given parametric equations are :`x=sqrt(t),y=(3t-1) , 0<=t<=1` `x=sqrt(t)` `=>dx/dt=1/2(t)^(1/2-1)` `dx/dt=1/2t^(-1/2)` `dx/dt=1/(2sqrt(t))` `y=3t-1` `dy/dt=3` Now let's evaluate the length of the arc by using the stated formula, `L=int_0^1sqrt((1/(2sqrt(t)))^2+3^2)dt` `L=int_0^1sqrt(1/(4t)+9)dt` `L=int_0^1sqrt((1+36t)/(4t))dt` `L=int_0^1sqrt(1+36t)/sqrt(4t)dt` `L=int_0^1 1/2sqrt(1+36t)/sqrt(t)dt` Take the constant out, `L=1/2int_0^1sqrt(1+36t)/sqrt(t)dt` Let's first evaluate the indefinite integral:`intsqrt(1+36t)/sqrt(t)dt` Use integral substitution:`u=6sqrt(t)` `du=6(1/2)t^(1/2-1)dt` `du=3/sqrt(t)dt` `intsqrt(1+36t)/sqrt(t)dt=int1/3sqrt(1+u^2)du` `=1/3intsqrt(1+u^2)du` Use th...

While Michael Obi is not really a hero or a villain, he comes closest to being a villain. He hopes to be a hero, bringing modern ideas to the villagers; he acts, however, with "misguided zeal," and to the villagers, he would likely be seen as a villain.  Michael Obi, who has just been named headmaster of the Ndume School, sees the school as "backward in every sense of the word." He is young, energetic, and modern and hopes to bring a positive change to the village. Yet his inability to respect the villagers and their customs and beliefs shows arrogance and makes him appear as more of a villain to the community. Despite the fact that the footpath has sacred importance to the villagers, Obi insists on blocking the pathway with sticks and barbed wire. When a villager explains that the path is used by the dead to depart and visit the living and by children being born, Obi responds, "The whole purpose of our school [...] is to eradicate just such beliefs." Whil...

1. The most likely diagnosis is  bacterial conjunctivitis . Conjunctivitis is an infection of the mucous membrane (conjunctiva) of the eye. 2. Bacterial conjunctivitis is usually due to infection by Staphylococcus aureus or Haemophilus influenzae. Other bacteria that can cause conjunctivitis include: Pseudomonas aeruginosa, Moraxella lacunata, Streptococcus viridans, and Proteus mirabilis. 3. Bacterial conjunctivitis is suspected because the patient has a red, irritated eye with thick discharge. 4. Many antibiotics can be used to treat bacterial conjunctivitis. These include: 0.3% Ciprofloxacin, 0.5% Levofloxacin, 0.5% Moxifloxacin, 0.3% Tobramycin, 0.3% Gentamycin, 0.5% Erythromycin, 1% Azithromycin, Bacitracin ointment, Bacitracin/Polymixin B ointment, Neomycin/Polymixin B/Bacitracin, Neomycin/Polymixin B/Gramicidin, Polymixin B/trimethoprim, Sulfacetamide. 5. Bacterial conjunctivitis is contagious. It is spread through direct or indirect contact with infected eye secretions. 6. Defe...

President Truman took several actions to deal with racial inequality. In 1946, a committee was created to examine how African-Americans were treated. Its report was very critical of the mistreatment of African-Americans in a country that said it was focused on treating people fairly and fighting against governments that took away people’s rights. In 1948, President Truman took two actions that tried to correct issues dealing with inequality. The first action banned segregation in the military. The military had segregated units during both world wars, which seemed contrary to the ideals in which we believed and for which we fought. The second action ended discrimination in the area of civil service jobs. The Federal Employment Board was set up to ensure the equal treatment of minorities in agencies of the federal government dealing with employment. Finally, in 1951, President Truman issued an order that said that any company that wanted to provide the federal government with military eq...

There are a number of times when it is clear that Rainsford survives and the last few lines of the story suggest that, in the end, he lives and Zaroff dies. First, Rainsford clearly survives after falling off the yacht. He swims toward the gun shots, correctly thinking they are coming from land. With his remaining strength he dragged himself from the swirling waters. During the first night he is being hunted, Rainsford manages to evade Zaroff enough that Zaroff decides to go home for the night. Although Zaroff could probably continue hunting, he is enjoying how cunning Rainsford is and wants to extend this hunting exhibition. Zaroff adds, Your Burmese tiger pit has claimed one of my best dogs. Again you score. I think, Mr. Rainsford, I'll see what you can do against my whole pack. I'm going home for a rest now. Thank you for a most amusing evening. Pursued again, Rainsford is forced to leap into the sea. He survives this as well. This is evident when Zaroff finds him waiting in...

The proximate (most direct) cause of the Terror was the rise to power of the radical Jacobin faction within the National Convention in 1793. These politicians had the support of the sans-culottes , the Parisian working class, and they were able to use this broad base of political support to prevail over moderate factions, sometimes known as the Girondins. The Jacobins instituted radical reforms that included price supports and instituted the Committee of Public Safety to run the country. The Committee, as well as local revolutionary councils, famously sent tens of thousands of supposed enemies of the Revolution to their deaths, most memorably using the guillotine. The Terror did not end until it consumed its own leaders, as Maximilian Robespierre and others were themselves guillotined in 1794. To understand the deeper origins of the Terror, however, we must remember that it took place in a time of extreme crisis for the Revolution. In the words of one historian, the Committee was essen...

At the beginning of Part Three, Beatty commands Montag to burn his home and gives him a flamethrower. After Montag torches his home, Beatty tells him that he is under arrest. Beatty then explains to Montag that his wife and her friends called an alarm on him. As Beatty is speaking, Faber yells into Montag's ear to get away. Beatty then strikes Montag on his head, and the green bullet falls out of his ear onto the sidewalk. Faber's voice can faintly be heard yelling for Montag to leave as Beatty walks over and picks up the green bullet. Beatty then turns it off and puts it into his pocket. Beatty looks at Montag and tells him that he saw the green bullet in his ear when Montag tilted his head. Beatty mentions that initially, he thought it was a Seashell radio, but when Montag "turned clever" he began to wonder. Beatty then tells Montag that he will trace the green bullet back to its owner.

The Declaration of Independence was written for several reasons. The main reason was to let the other countries of the world know that we had declared our independence from Great Britain and were no longer under British rule. This would let other countries know they could make agreements with us since we were an independent nation. The Declaration of Independence was also written to let people know why we were upset with the British government. The Declaration of Independence stated our belief that the government should protect the rights of the people. When the government doesn’t protect the people’s rights, then the people must replace the government. According to the Declaration of Independence, all people have certain rights, called inalienable rights, that can’t be taken away. These are the right to life, liberty, and the pursuit of happiness. We believed the British government was no longer protecting our rights. The Declaration of Independence then went on to list the complaints...

The dynamic between the narrator and his uncle in James Joyce's "Araby" is an interesting one, although it's touched on briefly. In the story, the narrator anxiously waits for his uncle to return from work, as his uncle promised to give him some money to go a local bazaar. The narrator is particularly anxious about making it to the bazaar on time, as he promised to buy a gift for Mangan's sister, the girl he has a crush on. When the narrator's uncle finally comes home (much later than he promised to), it's apparent he has been drinking and does not care about his nephew's urgency. The uncle's lateness is the main reason the narrator arrives to the bazaar too late to buy anything for Mangan's sister. Unlike the narrator, who is anxious to prove his worth and love for Managan's sister, the uncle seems to care much less for the relationships in his life. Rather than supporting his nephew, for example, the uncle stays out drinking after work an...

Benito Mussolini did not play a very direct role in the outbreak of WWII.  Italy did not start the war.  In fact, it did not even enter the war until Germany had already defeated France.  Therefore, we cannot say that Mussolini played a very large role in starting the war. While Mussolini did not play a direct role in starting the war, he contributed to it in three indirect ways.  First, Mussolini was an inspiration for Hitler and the Nazis.  Mussolini and his fascist movement took power in Italy more than a decade before the Nazis came to power in Germany.  The Nazis shared many beliefs with the Italian fascists and the rise of fascism in Italy helped inspire Hitler and the Nazis to believe that they could take power in Germany.  By helping Hitler come to power, Mussolini helped start WWII. Second, Mussolini helped bring about WWII by allying Italy with Germany.  With Italy as an ally, Germany did not have to worry about having to fight a war in the south when it started WWII.  This a...

One similarity between the approaches of functionalism and conflict theory is scope. Both of these sociological viewpoints can be described as macro-sociological because they primarily deal with societal institutions and the means through which they are shaped rather than individual interactions. Both understand society systematically, by looking at interactions between institutions. Another similarity between these two sociological theories is their focus on society as constantly changing and adapting. Conflict theory understands change as the result of competition and struggle for power between the classes, and functionalism views society as constantly adapting to best preserve stability. While the origin of change and adaptation is interpreted differently under each theory, both agree that institutions are always shifting- either for the benefit of the most powerful class or society as a whole, depending on the perspective.

I am going to assume, even though it is not very clear from the question, that the part of the track on which the car accelerates is straight. Then, the motion of the car on this part of the track can be described by the equation of the one-dimensional motion with constant acceleration: `d = v_it + 1/2at^2` . Here, d is the displacement (or in this case, the length of the track on which the car accelerates), v_i is the initial velocity,  a is the acceleration and  t  is the time during which the car accelerates. All these quantities, except for the acceleration, which we have to find, are given in the question. `2.20 cm = 29.0 (cm)/s*0.0376 s + 1/2 a (0.0376 s)^2` . Solving for a, we get `a = ((2.20 - 29.0*0.0376)*2)/(0.0376)^2 (cm)/s^2 =1570 (cm)/s^2 = 1.57*10^3 (cm)/s^2` The acceleration the track provides to the car is 1570 cm/s^2, or 15.7 m/s^2.

`a_n=2+2/n-1/n^2` Assume n begins with 1, `a_1=2+2/1-1/(1)^2=2+2-1=3` `a_2=2+2/2-1/2^2=2+1-1/4=11/4` `a_3=2+2/3-1/3^2=2+2/3-1/9=23/9` `a_4=2+2/4-1/4^2=2+1/2-1/16=39/16` `a_5=2+2/5-1/5^2=2+2/5-1/25=59/25` The first five terms of the sequence are `3,11/4,23/9,39/16,59/25`

From the text, we get the idea that Arun is trustful, compassionate, perceptive, as well as philosophical about life. He is the type of man who doesn't let life worry him, and he takes each day as it comes. Although Arun appears to be a poor man, he still consents to take Deepak in. As for our protagonist, Deepak isn't his real name (he has alternately called himself Ranbir, Sudhir, Trilok, or Surinder). When Deepak pesters Arun to let him work for him, Arun reluctantly agrees. He can't pay Deepak but promises to feed him if he will cook for both of them.  Deepak maintains that he can definitely cook. In reality, however, he's a terrible cook, and Arun has to give the first meal Deepak makes to the neighbor's cat. In the end, Deepak's charm wins Arun over, and Arun decides to keep Deepak on as a sort of errand-boy. In exchange, Arun teaches Deepak how to write, to cook, and to add money on paper; he welcomes Deepak into his home wholeheartedly and unreservedly. ...

Hello! This is a linear equation for `x.` We'll see this if we open the parentheses using the distributive property: `2(x + 2) = 2x + 4,`  `3(x - 3) = 3x - 9,` so their difference is `2(x + 2) -3(x - 3) =2x + 4 - (3x - 9) = 2x + 4 - 3x + 9 = ` `= (2x - 3x) + (4 + 9) = -x + 13` (we grouped the terms with `x` and without `x`). And this is equal to the right side,  `-x + 13 = x + 7.` Add `x` to both sides and obtain `13 = 2x + 7,` subtract `7` and obtain `6 = 2x.` Finally, divide both sides by `2` and the answer is `x = 3.`

Firstly, if there is a specific context to which you are referring (e.g., a book that you are reading), please be sure to include that so that we may help you with referencing. Otherwise, if you are speaking merely in terms of historical contexts, I would have to disagree with you slightly. The Middle Ages, sometimes still referred to as The Dark Ages, generally get a bad rap. It is true that those who lived during The Middle Ages were more concerned with religion, but this was due to the desire to firmly establish Christianity in the West, which remained under perceived threat from pagan Vikings in the North -- who frequently sacked the continent -- and Muslims from the East.  It is also true that literacy did not begin to expand until the Late Middle Ages (c. 1300), as romances began to include the middle-class. Geoffrey Chaucer's  The Canterbury Tales  was written for and about such an audience. However, even before this time, there was an appreciation for illuminated manuscript...

The ending could have been prevented by better parenting. If Connie had received more guidance and support from her parents, she may have felt less inclined to test the limits of her emerging sexuality. The dysfunction in Connie's family is evident in the way her parents treat her. While her father largely ignores her, Connie's mother is antagonistic and critical. She constantly denigrates Connie for her looks. The impression we get of Connie's mother is that she is unhappy with her own fading looks and jealous of Connie's fresh beauty. Connie's mother constantly compares Connie to June, her older sister. June is twenty-four and works as a secretary at Connie's high school. She has plain looks, but she is a hard worker. When she is home, June is helpful, conscientious, and dutiful. She is constantly praised by her mother and her aunts for these traits. On the other hand, Connie is persistently belittled by the same group of family members. Because she has such a...

The edition of Bernard Malamud's 1952 novel The Natural  consulted is 249 pages in length. The average novel has between 250 and 300 words per page. The average high school student reads at a pace of 214 to 250 words per minute, the lower end of the scale representing 9th grade students and the upper end seniors. One could, therefore, logically estimate that it will take the average high school student -- assuming, let's say, 300 words per page in a 249 page novel -- approximately four hours to read Malamud's novel. The student's question did specify "average high school student." It is important to keep in mind that some students read at faster speeds than others, and some, especially those with a reading disorder, may read considerably slower. The above data, however, is based upon averages, per the student's request. It is also useful to keep in mind that reading a novel is generally a much quicker process than reading a nonfiction textbook, especially ...

Johnny refuses to see his mother when he is in the hospital because he feels that she does not care about him. Johnny Cade came from a troubled home where he suffered abuse at the hands of his father and was neglected by his mother.  We learn early on that Johnny does not like to go home, and that his father often beats him and his mother blames him.  His father was always beating him up, and his mother ignored him, except when she was hacked off at something, and then you could hear her yelling at him clear down at our house. I think he hated that worse than getting whipped. (Ch. 1)  This is what makes it so heartbreaking when he gets jumped by a group of Socs.  Johnny is even more nervous after that, afraid of his own shadow.  He only has the gang to look out for him, since as Pony says his father is an alcoholic and his mother is a “selfish slob” (Ch. 3). When the Socs jump Johnny and Pony in the park, he panics.  After accidentally killing a Soc, Bob, Johnny and Pony went on the ru...

Carolus Linnaeus was instrumental in developing a system for the classification of living things. It is known as binomial nomenclature . It is still used today. Each species is assigned a two-name scientific name that is universally understood by all scientists. It is generally written in Latin. By the 1700's, the names that scientists used to classify organisms were generally long and very confusing. The system devised by Linnaeus made taxonomy (the naming of organisms) much simpler. The genus name is assigned because it represents a group of closely related species. An example of this is the genus Canis. This represents organisms that are in the canine group including dogs, jackals and wolves. The next part of the scientific name is the species name. The definition of a species is a group of organisms who can interbreed. Canis lupus is the scientific name for gray wolves. During Linneaeus' time organisms were categorized into categories from most general to most specific i...

The semi-barbaric king of a mythical land in Frank Stockton's short story "The Lady or the Tiger" is, quite simply, a despot, a ruler with total power who often uses it unfairly. The king rules in a completely undemocratic fashion, seemingly ignoring any input from advisors. Once he has made up his mind, there is no arguing against him. His decisions are based only on his judgement and are final:  He was a man of exuberant fancy, and, withal, of an authority so irresistible that, at his will, he turned his varied fancies into facts. He was greatly given to self-communing, and, when he and himself agreed upon anything, the thing was done. By "self communing" the king has only one adviser, and that is himself. That his laws and decrees could be considered unfair would never occur to him. His plan for justice in the arena is a perfect example of his despotism. That this is cruel and not even close to being fair, is lost on the king. His justice could cause an innoc...

Candy's relationship with his dog is significant to the novella because it mirrors and foreshadows George and Lennie's relationship. Both Candy and his dog are old and have outlived their use on the ranch. Carlson urges Candy to put his dog down, but Candy continually puts it off until Carlson eventually kills the dog. When Candy's dog dies, he is emotionally wounded. Similar to Candy's loyal but useless dog who is eventually shot, Lennie blindly follows George and has been his longtime friend. Unfortunately, Lennie accidentally kills Curley's wife, and George is forced to shoot his best friend to spare him from the brutal lynch mob. Candy and his dog's relationship also illuminates two significant themes throughout the novella. Steinbeck examines how only the strong and vibrant survive in harsh environments, and portrays how personal relationships are important to maintain.  

Miss Emily Grierson is in conflict with her family history, her culture, and time. Family history In the exposition of Faulkner's haunting story, Miss Emily is introduced as a "fallen monument" whose "august name" will join those others in the "cedar-bemused cemetery" who fought for the Old South. Clearly, then, she is burdened with her name and the noblesse oblige  attached to it. As part of this history, Miss Emily has lived under the patriarchy of her father and been both prevented from certain opportunities like marriage, which would offer her freedom from the burden of her family name. We had long thought of them as a tableau; Miss Emily a slender figure in white in the background, her father a spraddled silhouette in the foreground, his back to her and clutching a horsewhip, the two of them framed by the back-flung from door. Symbolic of this patriarchal repression, also, is the crayon portrait of Emily's father resting on the fireplace behin...

Paragraph 1: Hurston describes herself as "colored" and doesn't pretend to have Native American heritage. 2: Hurston brings up the idea that there was a particular day that she realized she was "colored." She and her neighbors grew up in a small town, Eatonville, with other black people, and they would stare at travelers from the North as they drove through town. 3: Hurston, as a child, would watch the travelers from her front porch and call out friendly greetings to them. 4: Hurston "belongs" to the black people of her town, and the white visitors who pass through are different because they give her coins to talk, sing, and dance for them. 5: Hurston felt that she transformed into "a little colored girl" the day she arrived in Jacksonville at age 13 to attend school there. (This is the idea that she brought up back in Paragraph 2.) 6: Being "colored" doesn't make Hurston feel sorrowful or unlucky at all. She believes that life ...

In Chapter Seven of Tuck Everlasting , the Tuck family explains to Winnie how they became immortal. Having stopped in the woods surrounding Treegap to rest, they all drank from a spring... including their horse. As years passed, various bizarre incidences started to indicate that something was not quite right with the family. Jesse was sawing large branches off of a tree when he lost his balance and fell out of it, landing on his head but experiencing no injury. The next strange event involved the horse. Hunters who were passing by the Tuck residence shot the horse at sunset, believing it to be a deer, but "The bullet went right on through him, and didn't hardly even leave a mark." After several more near-catastrophic injuries that didn't affect the Tucks, they realized they were going to live forever. (On a side note, it is also worth mentioning that The Man in the Yellow Suit steals the horse much later in the book and rides it to the Fosters' home, although it ...

Chapter 6 of To Kill a Mockingbird is centered around the concept of fear. Jem and Scout walk across the street in order to say good-bye to Dill, who will be returning home and starting a new school year. The boys talk for a short while, then Dill suggests to Jem that they go for a walk. When Scout seems troubled by this action which will take them closer to Boo Radley, Jem says "You don't have to come along, Angel Mary." Then, he tells his sister that they are not going to do anything. However, the boys do put actions to work. They decide to look into the window of the Radley house. But as Jem tries to peer inside, he hears another sound on the porch and a shadow moves over him. Terrified, Jem jumps off the porch and opens the gate for Scout and Dill. But, just then they hear the roar of a shotgun. Terrified, the children hurry back across the street. Jem, then, tells the others his fears, "We better go down there. . . They'll think it's funny if we don'...

Alcohol plays a big role in the work of Jack Kerouac, and On the Road  is no exception. One of the most prominent themes in this novel is the importance of having new experiences, altering one's perception of the world, and generally having a good time. Alcohol plays a central role in these enterprises for a couple of reasons. First, and perhaps most simplistically, alcohol use helps characters in the story supposedly "have a good time" (at least, until their alcohol-fueled adventures result in the seriously depressing dissolution of their relationships). More importantly, however, alcohol serves as a tool for altering one's perception of reality, as alcohol consumption changes one's state of consciousness and leads one to see the world in a different way. Thus, drinking alcohol ostensibly facilitates the characters' ability to have new experiences, as it enables them to engage with the world with a different consciousness. Additionally, Sal's reliance on ...

Whether the astrologer deserves every bit of his wages is a matter of opinion. The anonymous narrator of the story is evidently expressing the astrologer's opinion rather than his own. He was as much a stranger to the stars as were his innocent customers. Yet he said things which pleased and astonished everyone: that was a matter of study, practice, and shrewd guesswork. All the same, it was as much an honest man's labour as any other, and he deserved the wages he carried home at the end of the day. Although the astrologer is not a "legitimate" astrologer, there is no proof that anyone can read anything in the stars, regardless of how long them may have studied this ancient but spurious pseudo-science. The astrologer in this story provides entertainment for all the passers-by, and he is capable of giving his paying customers good advice because of his "study, practice, and shrewd guesswork." He may not understand the stars, but he understands people. He had ...

Indefinite integrals are written in the form of` int f(x) dx = F(x) +C`  where: `f(x)` as the integrand            `F(x)` as the anti-derivative function             `C`  as the arbitrary constant known as constant of integration For the given problem `int sin(theta)sin(3theta) d theta`  or  `int sin(3theta)sin(theta) d theta`   has a integrand in a form of trigonometric function. To evaluate this, we apply the identity: `sin(A)sin(B) =[-cos(A+B) +cos(A-B)]/2` The integral becomes: `intsin(3theta)sin(theta)d theta= int[-cos(3theta+theta) + cos(3theta -theta)]/2 d theta`  Apply the basic properties of integration: `int c*f(x) dx= c int f(x) dx` . `int[-cos(3theta+theta) + cos(3theta -theta)]/2 d theta= 1/2int[-cos(3theta+theta) + cos(3theta -theta)] d theta`  Apply the basic integration property: `int (u+v) dx = int (u) dx + int (v) dx` . `1/2 *[int -cos(3theta+theta)d theta+cos(3theta -theta)d theta]` Then apply u-substitution to be able to apply integration formula for cosine function...

Postpartum depression is a mood disorder affecting a woman who recently delivered a baby. It may present with symptoms such as low mood, anxiety, exhaustion, feelings of extreme sadness, or other symptoms similar to other forms of depression. For some, symptoms may be so debilitating they cannot undertake normal daily activities such as looking after themselves and their babies. The onset of symptoms often occurs within one or two months after delivery of the baby, but onset of symptoms may be delayed for several months after having the baby. When the disorder occurs postpartum (after delivery), it is referred to as postpartum depression. Some women begin to have symptoms of depression during pregnancy that persist after the delivery of the baby. In such cases, the disorder is referred to as peripartum depression. The arrival of a new baby is a huge change in the life of a mother, and many new mothers experience varying emotions and mood swings. A rapid drop in estrogen and progesteron...

`2(log_3 (20) - log_3 (4)) + 0.5log_3(4)` First, apply the difference-quotient rule of logarithm `log_b (m/n) = log_b(m) - log_b(n)` . `= 2 (log_3 (20/4))+0.5log_3(4)` `=2log_3(5) + 0.5log_3(4)` Then, apply the power rule `log_b(a^m) = m*log_b(a)` . `= log_3(5^2) + log_3(4^0.5)` `=log_3(25) + log_3(2)` And, apply the sum-product rule `log_b(m*n) = log_b(m) + log_b(n)` . `= log_3(25*2)` `=log_3(50)` Therefore,   `2(log_3 (20) - log_3 (4)) + 0.5log_3(4)=log_3(50)` .

First, let's talk about how the story is actually structured.  It's divided into three parts. The first part describes the setting and protagonist. A planter from Alabama is about to be hanged from a bridge that spans a rushing creek. He stands on one end of a plank, and a sergeant in the Union army stands on the plank's other end. The planter feels as though time is slowing down, and the sergeant steps aside, off of the plank. Part II tells us about the protagonist, Peyton Farquhar, in much greater detail. He is ardently devoted to the Southern cause in the Civil War. He is so devoted, in fact, that when a man dressed as a Confederate soldier appeared at his gate one day in the not too distant past, he heard the soldier's declaration that anyone who disrupted the railways would seriously damage the North's war effort with great interest.  The punishment for interfering with the bridges and railroads is death. The soldier even described how one might go about settin...

The world Huxley describes values stability and conformity above all else. Genetic engineering and conditioning are the crucial elements that ensure stability and conformity will occur. Genetic engineering allows the growth of multiple sets of completely identical humans, which aids conformity. Further, embryos are manipulated in the test tube (all babies are grown in test tubes) to ensure they have the proper attributes of whatever caste to which they have been designated. For example, the brains of low-caste groups, such as Epsilons, are deprived of oxygen at crucial times so they will lack intelligence. This makes them more likely to be satisfied with their manual jobs. Genetic engineering also ensures Epsilons are smaller than the "superior" castes so it seems natural to take orders from the superior groups. Finally, all castes are conditioned from birth to prefer the group to which they were born and happily do what they are expected to do to ensure social harmony. Betas...

The Holocaust could certainly have been avoided.  It was definitely not inevitable in the same way that, for example, we might say that the American Civil War was inevitable.  Here are three ways in which the Holocaust could have been avoided. First, the Holocaust could have been avoided if the Allies had been less harsh on Germany in the Treaty of Versailles.  If the Allies had not been so harsh, the German people would have been less angry at the world.  If they had been less angry, they would have been much less likely to turn to radical political parties like the Nazi Party.  If the Nazis had not come to power, the Holocaust would surely not have happened. Second, the Holocaust could have been avoided if the French and British had not engaged in appeasement in the time before Hitler had rebuilt the German military.  Hitler came to power in 1933.  In late 1936, he sent the German military back into the Rhineland.  This was a direct violation of the Treaty of Versailles.  At that poi...

Gulliver actually escapes from Lilliput fairly easily: after falling out of favor with the Emperor of Lilliput, Gulliver walks across the channel separating Lilliput from Blefuscu, and then from there he finds a boat, sails away, and is eventually picked up by an English ship.  Gulliver's need to suddenly escape to Blefuscu can be seen as a satire of the fickle nature of European court culture. Just as Gulliver quickly falls out of favor with the Lilliputian elite, so too did popular courtiers run the risk of becoming suddenly very unpopular, often for trivial reasons. Such a position was often very dangerous, and a punishment similar to the one Gulliver narrowly escapes (being blinded, starved to death, etc.) was probably not out of the ordinary in many European courts. In this way, Swift points out that perhaps being a member of the ruling elite is not as enviable a position as one might think.  

The author's main reason for handling Patrick Maloney's announcement in the way he does was probably that he wanted to avoid a dialogue between husband and wife. Mary would be more than likely to argue, to plead, to explain, to ask for explanations, and, of course, to bring up the subject of her expected baby. The impact on Mary would not be as decisive, and the end result would be the same. Patrick wants out of a boring marriage. This fact is essential to the rest of the story. His cold, brutal announcement leads, understandably, to his being clobbered with a frozen leg of lamb. Mary's behavior before Patrick makes his surprising announcement was intended to illustrate dramatically what it is about her that makes her husband want out of their marriage. She doesn't realize that she is giving him claustrophobia. Any counter-arguments that Mary could make would only soften the impact of Patrick's cold, hard, irrevocable decision to walk out on her. His decision has to...

Before answering this question regarding George Orwell's protagonist in his dystopian novel  1984 , it's important that we define the literary term that you use in your question. A "dynamic character" is a character that develops in some capacity, experiencing growth or change in his/her perspective, values, actions, or otherwise.  To examine Winston's growth, we must first establish his starting point. In the beginning of the novel, Winston is miserable but quietly rebellious. The grand overview of his life is dictated by his dehumanizing society, but he secretly engages in small acts of rebellion, which to the reader seem symbolic, but within the context of the society, are terrifying to contemplate. Acts like writing "Down with Big Brother" or holding onto memories that contradict Party edicts could potentially get Winston killed.  As Winston grows, his rebellions also expand, until he engages in a forbidden act: a loving relationship with Julia. Once...

The argument could be made that it is easier to help someone farther away than it is to help someone in our community. If you take the example of a hungry child in Africa, for example, most people simply write a check to a charity that sends food to that child. The person writing the check does not have to do any of the work of getting the food to the person or actually getting to know the person. However, when we help someone in our own community, we often do more personal work to help that person. Feeding a hungry child in your own community might include writing a check, but it might also include serving food at a church or handing out food at a food pantry. Each of these would involve meeting the child and seeing the consequences of their hunger, which is difficult to do because no one wants to see a child go hungry. So, emotionally it can be more difficult to help a person closer to home. It has the potential for being much more intimate.

Albert Camus's "The Guest" details the story of Daru, a French-Algerian schoolteacher who is stationed in an isolated mountainous area of Algeria. After Balducci, a Corsican gendarme, arrives at the schoolhouse dragging an Arab prisoner behind him, Balducci informs Daru that the Arab man has killed his own cousin with a billhook over an unpaid debt of grain; Balducci demands that Daru host the man overnight in his home so he does not escape and then escort him the following morning to the police headquarters in Tinguit. Daru has no interest in performing these duties, but Balducci forces the responsibility upon him anyway. Although initially suspicious of the Arab man, Daru eventually develops a sort of strange and unwanted sense of brotherhood with the stranger: Men who share the same rooms, soldiers or prisoners, develop a strange alliance as if, having cast off their armor with their clothing, they fraternized every evening, over and above their differences, in the anc...

Gulliver arrived in Lilliput after his ship crashed into a big rock and split.  After the ship sank, he and a few companions rowed away in a life boat, but they became exhausted with rowing and had to give themselves over to the waves.  A storm eventually overtook them, and Gulliver had to swim for it.  He assumes that his compatriots from the life boat were all lost at sea. After he is brought into the town by the Lilliputians, he is housed in an old temple, a very large one, that had been "polluted" when a murder took place there some years before.  As a result, it fell into disuse and was now emptied of its contents so that it could accommodate Gulliver's large size.  The doorway was big enough that he could crawl through it, and he was chained and padlocked within so that he could be kept isolated.

Integral test is applicable if `f` is positive and decreasing function on interval `[k,oo)` where `a_n = f(x)` . If the integral `int_k^oo f(x) dx` is convergent then the series `sum_(n=k)^oo a_n` is also convergent. If the integral `int_k^oo f(x) dx ` is divergent then the series `sum_(n=k)^oo a_n` is also divergent. For the  series `sum_(n=1)^oo 3^(-n)` , we have `a_n=3^(-n)` then we may let the function:  `f(x) = 3^(-x)` which has the below graph: As shown on the graph, `f(x)` is positive and decreasing on the interval `[1,oo)` . This confirms that we may apply the Integral test to determine the convergence or divergence of a series as: `int_1^oo 3^(-x) dx =lim_(t-gtoo)int_1^t 3^(-x)dx` To determine the indefinite integral of  `int_1^t 3^(-x)dx` , we may apply u-substitution by letting: `u =-x` then `du = -dx` or `-1du =dx` . The integral becomes: `int 3^(-x) dx =int 3^u * -1 du`                   ` = - int 3^u du` Apply the integration formula for an exponential function:` int a^...

The film Four Daughters is a 1938 musical drama that follows the lives of the four Lemp sisters, three of whom were played by the famous Lane sisters. The Lemp family shares an interest in music, and each one of the girls is a musical prodigy; all of them take an interest in a composer named Felix Deitz, who lives in the boarding house owned by their parents. Each girl is also occupied with her own inner conflict, though. The eldest, Emma, must repeatedly reject the advances of the Lemps' neighbor, Ernest. Second eldest Thea is unsure if she loves Ben, a wealthy neighbor who has been trying to court her. The next eldest, Kay, receives a scholarship to a prestigious music school but can't decide if she is ready to leave home. Finally, youngest daughter Ann finds herself courted by two men, Felix and his other composer friend, Mickey. Felix decides to propose marriage to ensure he will end up with Ann, and she says yes.

Friar Lawrence is deserving of blame for the deaths of Romeo and Juliet because he is weak-willed and he has failed in his duty as spiritual adviser to follow through on the matters that he has said he would take action. Romeo and Juliet's marriage After admonishing Romeo that "violent delights have violent ends,"(2.1) and asking him how he could so easily have fallen out of love with Rosaline, the priest agrees to perform the marriage ceremony because he does not want Romeo to sin, and because he naively decides that somehow a marriage between Romeo Montague and Juliet Capulet might unify the two feuding families: In one respect I'll thy assistant be; For this alliance may so happy prove, To turn your households' rancour to pure love. (2.2) However, he makes no plans to confer with the two sets of parents as, normally, the priest and spiritual adviser of a community would. Instead, it seems that he leaves the amelioration up to chance. Romeo's banishment Fria...

Ophelia is a young female character in Hamlet . She is the daughter of Polonius, who is an adviser to King Claudius. She is also the sister of Laertes. Prince Hamlet has told Ophelia that he loves her, but both her father and brother, when she confides in them, warn her that princes are obliged to make marriages of state and thus are not free to follow their romantic inclinations. Ophelia promises to follow their advice and avoid Hamlet's company. Hamlet, in an effort to make his madness convincing, talks in a bizarre way to Ophelia, eventually rejecting her completely. Ophelia is a somewhat naive, innocent, and sentimental young woman, who genuinely loves Hamlet but also wants to please her family. Caught between the machinations of Hamlet and her family, she eventually descends into madness and commits suicide. 

`int (4x^2+2x-1)/(x^3+x^2)dx` To solve using partial fraction method, the denominator of the integrand should be factored. `(4x^2+2x-1)/(x^3+x^2)=(4x^2+2x-1)/(x^2(x+1))` Take note that if the factor in the denominator is linear and non-repeating, each factor in the denominator has a partial fraction form of `A/(ax+b)` . And if the factor is linear and repeating, its partial fraction decomposition has a form `A_1/(ax+b) + A_2/(ax+b)^2+... +A_n/(ax+b)^n` . So, expressing the integrand as sum of fractions, it becomes: `(4x^2+2x-1)/(x^2(x+1))=A/x+B/x^2+C/(x+1)` To determine the values of A, B and C, multiply both sides by the LCD of the fractions present. `x^2(x+1)*(4x^2+2x-1)/(x^2(x+1))=(A/x+B/x^2+C/(x+1))*x^2(x+1)` `4x^2+2x-1=Ax(x+1)+B(x+1)+Cx^2` Then, assign values to x in which either x, x^2 or x+1 will become zero. So plug-in x=0 to get the value of B. `4(0)^2+2(0)-1=A(0)(0+1)+B(0+1)+C(0)^2` `-1=A(0)+ B(1)+C(0)` `-1=B` Also, plug-in x=-1 to get the value of C. `4(-1)^2+2(-1)-1=A(-1)(-...