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Mathf(f(x)) = 4x+3 given. To find all linear functions , f(x). The solution f(x) is said to be linear. We assume f(x) = ax+b and determine a,b. f(f(x)) = a*f(x)+b = a(ax+b)+b = (a^2 )x+(a+1)b Therefore...

The Most Dangerous GameZaroff will permit any human prey who can survive three days to leave the island. However, he stresses to Rainsford that if he does survive, he can reveal the secrets of the island hunts to no...

Mathsin a + cos a=1 If we'll reduce the expression with cos a, the expression will become sin a/cos a + 1= 1/cos a tg a + 1= 1/cos a tg a= 1/cos a 1 tg 2a=tg (a+a)=tg a+ tga/(1tg^2a) tg 2a=...

The Most Dangerous GameIn the most dangerous game, what is general zaroff's opinion of the sailors he trains?I am deeply...While sitting down with Rainsford on his first night on ShipTrap Island, General Zaroff tells Rainsford all about the new game that he has decided to hunt. During this conversation, Zaroff tells...

Julius CaesarFrom the time that Brutus sees Caesar's ghost, he doubts the success of their battle in Phillippi. Though he still tries to form a good strategy, the prediction of the ghost seeing him there haunts...

MathSin(3x) appears on both sides.We keep this term as it is. Taking the other two terms on the left,we write as, sin(x)+sin(5x) = sin(3x2x)+sign(3x+2x)....(1). Using the trigonometric identity,...

MathBy vector theory we know that two vectors u and v are perpendicular if only their dot product u.v is zero. We use this idea to show that the given vectors' dot product is an expression involving...

MathIn triangle ABC, SinB =1 .Therefore B= 90 degree. The triangle is right angled at B and AC hypotenuse. Sin A = 1/2 . Therefore A = 30 degree and the remaing angle C = 180(90+30) = 60 degree....

Businessi dont no

MathIf z has the following form: z = a + b*i, then it's adjoint is z' = a  b*i z+2z'= a + b*i + 2a  2 b*i We'll group together the real parts and the imaginary parts: (a+2a)+i*(b2b)=3+i (from...

Math2x + sq root (16 + x^2)=11. sqrt(16+x^2) = 112x. Square both sides, 16+x^2 = 11^22*2*11x+4x^2 =12144x+4x^2. collect all similar terms on right side together. 0 = 1211644x +4x^2x^2=>...

Lord of the FliesThsi incident occurs in Chapter 10 of the novel, and it is after Jack has effectively seized power of the boys, and Ralph is left with Sam and Eric and Piggy, and they are trying to keep a signal...

MathBecause 1 is in the set (0,pi/2), meaning the first quadrant, where the function cosine is positive,then cos 1>0. Because 2 and 3 are in the set (pi/2,pi), then cos2 and cos 3<0, because of...

MathTo calculate the integral part of 1/(3^1/22^1/2), we rationalise the dnominator by mutiplying denominator and numerator by (3^1/22^1/2) and get, (3^1/2+2^1/2)/{(3^1/2*2^1/2)(3^1/2+3^1/2)}....

MathGiven f(x) = 0 has x1,x2,x3,x4 as roots. Putting 1x = y transforms the equation f(1y) =0 whose roots are 1x1, 1x2,1x3,1x4 and whose constant term / coefficent of y4 is the product...

HamletClaudius demands the Queen to explain Hamlet's behavior, she claims he is insane. Does she really...The short first scene of Act IV centres around Gertrude's betrayal of Hamlet. Although she does honour Hamlet's request to not tell Claudius that he is only feigning madness, it is clear that,...

Lord of the FliesYou are referring to the end of Chapter 3. Simon, after helping Ralph build huts, goes away and walks towards the forest. Walking through "acres of fruit trees", the group of littluns who have run...

MathWe can demonstrate if a function is a increasing/decreasing one, using the first derivative of that function. f'(x)=1sinx We know that the function sin x < 1, or the maximum value is sin x =1...

Lord of the FliesThe signal fire in the story is a symbol of hope of the boys' return to civilisation. By keeping the signal fire going they hope to attract the attention of a passing boat or aircraft who will then...

HamletWow. I agree with my colleaguethere is no evidence I'm aware of that Gertrude is not Hamlet's mother. Hamlet calls her his mother, King Hamlet calls her his wife, and Gertrude calls Hamlet her...

Lord of the FliesTo answer this question you need to consider the allegorical aspects of this novel, and what each of the main characters represent. It is clear that at the beginning of the novel Jack represents...

A Rose for EmilyThere are some clues in the story to give us some ideas about when this story takes place. In the first section, we are told that Miss Emily was relieved of the obligation to pay taxes in 1894,...

SciencePOP stands for "persistent organic pollutant". POPs are supposedly toxic chemicals that adversely affect human health and/or the environment around the world. They can persist or...

A Midsummer Night's DreamWhile Shakespeare purposefully does not attribute any truly unique characteristics to Hermia's personality nor any of the other related characters in this aspect of the play, there are a few...

Romeo and JulietIn Shakespeare's Prologue to Romeo and Juliet serves as an exposition of sorts. In the form of a sonnet, the Prologue tells the audience that the play is set in Verona. We learn of the feud...

Jane EyreThe first device you might want to take note of that the story is written in the first person point of view, which allows the reader to see the events, characters, and setting through Jane's eyes....

Lord of the FliesWe see this transformation right away. The island is a paradise, and then the boys land on it. The plane slashes a nasty burning line through the green peaceful vegetation. The burning strip hisses...

Lord of the FliesWilliam Golding first of thought of the idea of Lord of the Files while reading Coral Island by Ballantyne. The story is, "about a trio of boys stranded on an otherwise uninhabited island, shows...

Lord of the FliesFirst, William Golding was a school head master, so he has had an insight and plenty experience on the psychology and physicality of boys. Second, Ralph is his main character and (many writers...

The Waste LandI think that money in the waste land is a means of spiritual death. People are just looking for it and simply neglecting the moral values and principles. Modern human relationships are therfore...

Brave New WorldEach one of these themes can be found in the novel Brave New World. Huxley provides excellent examples for each theme in settings of the "uncivilized" world and the World State environment. In the...

1984Winston's first indication that O'Brien is on his side is in the first chapter, at the end of a 2Minutes Hate, when his and O'Brien's eyes meet briefly. Winston feels that the quick meeting of...

LiteratureI would talk about the pen's reaction to what the person holding it is writing. You can also include: the sound of the pen on the paper what the paper feels like to the pen whether the person is...

AeneidThis is a worthwhile question since Odysseus/Ulysses is one of the "good guys" in Homer. In Vergil's Aeneid, though, Ulysses is regarded as one of the most evil of the Greeks. The simplest...

English teachersI have had similar student populations, and my favorite way to get the class going is to give the students a list of words and phrases and ask them to write a story using the entire list. I try to...

The Things They Carriedawww no one =[

ReferenceHaving never read that book, I'll give you my thoughts, based on what you've described in your post: I think you can make a case for any book, most of the time. Some "great literature" is crappy...

BusinessAward of procuremet contracts involves choosing a vendor proposal from multiple proposals received from different vendors for something to be purchased. In doing so a company would obviously want...

The Souls of Black FolkJust to place it in a historical perspective, the Civil War ended in 1865, the Fisk Jubilee singers were founded or rose to prominence in 1871, and W.E.B. Du Bois enrolled at Fisk University in...

In Cold BloodYou could certainly use this quote to prove that Hickock deserved at least the same penalty as Perry but not because of his desire to rape the Clutter girl. Because he premeditated his crime,...

1984Language is the way we think and communicate; the wider the range of words, the more likely we are to find a way to express various thoughts. The purpose of Newspeak is simple  limit/control...

LiteratureIdiomatic expressions are statements in a language that cannot be literally translated into another language. Idioms are understood by most native speakers of a particular language. Idioms seem...

Lord of the FliesIn the previous chapter, there are arguments among the boys over what the "beast" is, and Jack berates the boys for being afraid saying that if there were a "beast," he would have seen it since he...

HealthNo, this medication has severe potential side effects and should only be used under strict physician supervision. When a medication is applied to the skin (topical), it is absorbed from the skin...

Angela's AshesKeep in mind that the McCourts literally have nothingno material possessions. One could even argue that the children did not even have the love of their father seeing as how he chose alcohol over...

The Love Song of J. Alfred PrufrockThe guidelines of this website allow for one question a day; I rather suspect that you are sneaking in more than that. I suggest keeping to the guidelines, and submitting the second question that...

William ShakespeareSonnet I, the first of the "young man" or "fair youth" cycle, introduces one of Shakespeare's recurring themes: that of the course time fading beauty and bringing eventual death. As a solution to...

HistoryThis quote has a literal and figurative meaning. Literally, if a nation has citizens who are starving or impoverished, they will look for someone to blame. When no one comes to their rescue (such...

The Love Song of J. Alfred PrufrockWell, he starts of his poem by describing scenes that are very lowkey, passive, and lifeless. For example, he describes the evening to "a patient etherised upon a table," a description that...

Fahrenheit 451Wowthat's quite a tall order. Have you read through the book and tried to find some yourself? To clarify, a simile is when you compare two things using the words like or as. Look to the very...