Given the polynomial f = x^4 + x^3 + x^2 + x +1 determine f(1) and f(-1)

# Given the polynomial f = x^4 + x^3 + x^2 + x +1 determine f(1) and f(-1)

• MATH

Given the polynomial f = x^4 + x^3 + x^2 + x +1 determine f(1) and f(-1)

f(x)=x^4+x^3+x^2+x+1 We need to determine f(1) That means we will substitute with x=1 in the functions: f(1) = 1+1+1+1+1=5 f(-1)= (-1)^4+(-1)^3+(-1)^2+(-1)+1 = 1 -1 +1 -1 +1 =1

• MATH

Determine the slope of the line x + 2y -3 = 0 .

The slope in the standard formula : y=mx +b The slope =m We have the equation : x+2y-3=0 we need to rewrite it in the standard formula: 2y= -x+3 ==> y= (-1/2)x +3/2 Then the slope = -1/2

• MATH

Find out the lenght of the circle radius inscribed in the triangle which has the sides lenghts of…

We know that: area of the triangle= radius of the circle* perimeter of the triangle/2 OR A= R*P/2 The perimeter= 12+14+15= 41 The p/2= 20.5 We can obtain the area of the triangle through the rule:…

• MARY DOUGLAS

“dusk is the hour of defeated ” by reffering this incidents in the story state how dusk is said…

dusk is time of defeated people as only defeated people come out of there house at dusk time to do their work so that no one can see and say some thing to them same as in story gorstby feel that he…

• MATH

Determine lg(1/2) + lg(2/3) + lg(3/4) + … + lg(99/100)

lg(1/2)+lg(2/3)+…+lg(99/100) We know that: logx1+lgx2+…lg(xn)=lg(x1*x2*…*xn) ==> lg(1/2)+lg(2/3)+…+lg(99/100)=lg(1/2*2/3*…*99/100) = lg(1/100) = lg(100)^-1 =…

• A TALE OF TWO CITIES

In Charles Dicken’s A Tale of Two Cities, how do Charles Darnay and Madame Defarge both put duty…

With regard to Mme. Defarge, the word duty does not seem appropriate. For, hers is no patriotic or altuistic cause for which she devotes herself. Instead, it seems more a personal devotion to her…

• MATH

Solve the equation 4^x + 2^x + 1 = 80

4^x+2^x+1=80 4^x+2^x-79=0 Let us substitute 4 with 2^2 (2^x)^2 + 2^x-79=0 Assume that 2^x=y y^2+y-79=0 y1=[-1+sqrt(1+4(79)]/2= (-1+sqrt(317))/2= 8 y2=-1-sqrt(317)= -9 Now to find x values:…

• LITERATURE

What is the nature of literature?

I would be extremely surprised if there was one definitive answer to this question. Be ready to sift through multiple responses. For my bet, I would say that literature’s nature has to address…

• MATH

Find out ctg(2x) if ctg(x) = 3

we need to determine ctg(2x) if we know that ctg(x)=3 we know that ctg(2x)=1/tan(2x) =1/tan(x+x) We know that tan(x+y)= (tanx+tany)/1-tanx*tany) ==> 1/tan(x+x)= [1-(tanx)^2]/2tanx We know that…

• MATH

Find the lenght of the segment AB, knowing that A(1,1) and B(-1,-1)

The length of the segment knowing the end points, we use the rule: The end points are (x1,y1) and (x1,y2) D= sqrt[(y2-y1)^2+(x2-x1)^2] We have the points (1,1) and (-1,-1) ==> D=…

• TO KILL A MOCKINGBIRD

How does Harper Lee use the courtroom scene in To Kill a Mockingbird to develop character,…

This is a huge question that will require a more in-depth look at chapters 17-20. To get you started however, I think everything you’ve asked for (character, setting and themes of fear and…

• MATH

Demonstrate that (1-x1)(1-x2)(1-x3)(1-x4) = 5 where x1,x2,x3,x4 roots of the equation x^4 + x^3 +…

We have the equation: x^4+x^3+x^2+x+1=5 x^4+x^3+x^2+x-4=0 According Viete’s rule we know that: x1+x2+x3+x4=-b/a= -1 x1*x2+x1*x3+x1*x4+x2*x3+x2*x4+x3*x4=1 x1*x2*x3+x1*x2*x4+x1*x3*x4+ x2*x3*x4=1…

• THE TEMPEST

In what way is The Tempest a play within a play?

The Tempest can be said to be a play within a play in that Prospero not only could be said to represent Shakespeare, but that the character of Prospero is quite deliberately directing all the…

What is mass tourism ? And leisure travel ? And recession tourism?three types of tourism….

Mass tourism is the act of visiting a destination with large amounts of people at one time, and the study of the effect that large amounts of people can have on a particular destination, or on a…

• BRAVE NEW WORLD

What is bioethics, and what do you think of the bioethics represented in Brave New World? Discuss…

Bioethics is the study of the moral and ethical issues that arise when we learn new things about science. So a bioethical issue might be whether we should keep people alive indefinitely just…

• 1984

What are the reasons for 1984 being the novel worthy of study today?

I am certain that you will receive much in way of feedback for this particular question. I would say that one strong reason why Orwell’s work is worthy of being studied is that it presents one of…

• HISTORY

What reasons do you believe account for the fundamental difference of view on individual…

So you are asking why the courts protect rights while individuals want to restrict them — is that the difference you are asking about? If so, the people tend to support the restriction of rights…

• SCIENCE

What is the hepatic portal circulation?

Another name for the hepatic portal system is the portal venous system. The purpose of hepatic portal circulation is to deliver blood from some parts of the gastrointestinal tract to the liver. In…

PLEASE explain this interesting paragraph ? Recession tourism Recession tourism is a travel…

This paragraph is describing the notion of recession tourism. Essentially, what it is articulating is that during a recession and times of financial difficulty, tourism is one of the first areas…

• SCIENCE

Can anyone tell me some facts regarding the Bermuda Triangle?

The so-called “Bermuda Triangle” is an area of the Atlantic Ocean off the island of Bermuda where there are more mysterious disappearances of ships and planes than anywhere else. Some…

• PRIDE AND PREJUDICE

Does Jane Austen address the theme of gender injustice in her treatment of love and marriage in…

Austen’s implicit questions in Pride and Prejudice are: How can women exist within the economic institution of marriage, and how can women and men achieve emotional balance (re: love) under these…

• THE DIARY OF A YOUNG GIRL

Describe any one incident faced by Anne in the concentration camp in not more than 150 words….

Given the fact that the diary is written before Anne and her family are sent to the camps, I would have to say that her experience at Bergen- Belsen would be the incident I would sadly identify….

• AMERICAN DRAMA

many American Dramatist in the 20 centuryThere are many American Dramatist in the 20 century….

Tennessee Williams is the first that comes to my mind. The Glass Menagerie and Cat on a Hot Tin Roof are two of his famous works that have been described as semi-autobiographical. Eugene O’Neill is…

• WILLIAM SHAKESPEARE

compare and contrastRomeo and Juliet and A Midsummer Nights Dream have themes that are common and…

A Midsummer Night’s Dream certainly has more comedic elements; there is little humor in Romeo and Juliet. The common themes in the two Shakespeare plays include love (at first sight), misplaced…

Which character in Much Ado About Nothing would be good to write a letter to, and what would I…

In Much Ado About Nothing, the two the funniest and most developed characters in the play are Benedick and Beatrice. Their titanic passions, love/hate relationship, and gender biases regarding the…

• ODE ON A GRECIAN URN

What does the “Attic shape” represent in “Ode on a Grecian Urn” by John Keats?

Keats begins the fifth stanza by addressing the urn as an “attic shape.” The word “attic” refers to Attica, a region of ancient Greece of which Athens was the chief (primate) city. “Shape” simply…

• NARRATIVE OF THE LIFE OF FREDERICK DOUGLASS, AN AMERICAN SLAVE

What was life like for Frederick Douglass as a young American slave boy in Maryland?

From the opening chapter of Douglass’ narrative, there is much to reflect the horrific nature of America’s original sin of slavery. Notice the lack of definition in the life of a slave. Douglass…

• ROMEO AND JULIET

What is a paraphrase of the sonnet in Romeo and Juliet, Act I, Prologue, that starts “Now old…

This is the prologue to Act II. It is setting the scene for that act. It says something to the effect that Now Romeo does not love his old love (Rosaline) any more — he loves someone else now….

• A THOUSAND SPLENDID SUNS

In an analogy paper on A Thousand Splendid Suns, how do I introduce Rasheed if I’m comparing him…

I think you are really on to something with the comparison to Rasheed to a grizzly bear. I hadn’t thought of this before but after a quick google search, I found a website that gave lots of…

• SCIENCE

What would happen if we did not have an occipital bone in our skull?

I think it is important to discuss the fact the occipital bone of the skull protects the occipital lobe of the brain. If we did not have the occibital bone we would most likely suffer sever head…

• THE HANDMAID’S TALE

In The Handmaid’s Tale how did Serena Joy’s past experiences shape her?

In the past, Serena Joy had been a singer. She had been small, angelic, and prone to crying and getting very emotional when she sang, especially religious songs about God. She was also an…

• REFERENCE

After reviewing the Köppen climate classification, which is one of the most widely used climate classification systems, I believe that the majority of Canada falls into the “warm summer…

• THE HANDMAID’S TALE

From Serena’s view in The Handmaid’s Tale, is fear an effective form of control?

If I were answering this question as if I were Serena Joy herself, remember to keep it in first person, and keep in mind that she was a true believer, and one who thought that the society that they…

• ROMEO AND JULIET

How would I reword quotes from Romeo and Juilet for a Grade 10 English level? The quotes are…

The first passage that you cite is talking about how Romeo and Juliet say that fate is influencing their lives. I would say something like this: Both Romeo and Juliet say that fate is having a…

• LITERATURE

Should certain books ever be banned from schools? If yes, why should they be banned? If no, why…

I do hate the idea of banning books, but elementary and middle school library shelves should be immune to some forms of adult material and literature as well as other forms of controversial reading…

• TO KILL A MOCKINGBIRD

How does Harper Lee strongly criticize hypocrisy in To Kill a Mockingbird?

Several of the characters in To Kill a Mockingbird are harshly treated for their hypocritical beliefs. Harper Lee is particularly tough on Scout’s two teachers, Miss Caroline and Miss Gates. Miss…

• THE OLD MAN AND THE SEA

How is Ernest Hemingway’s The Old Man and the Sea not only a story about a man fishing, but also…

Quote 1: He no longer dreamed of storms, nor of women , nor of great occurrences, nor of great fish, nor fights, nor contests of strength, nor of his wife. He only dreamed of places now and of the…

• SCIENCE

What is the average age for a girl to start her monthly cycle?

They say the average age is 12 – but of course average means there are outliers on either side all the way down to as young as 8 or as old as 16 or 17. A couple of controllable contributing factors…

• SCIENCE

What is the healthy weight and body fat percentage for a person whom is 5’5″ and i their 50’s?

It does depend what gender you are, as men and women carry weight differently, for different reasons and with varied health effects. We also tend to measure a person’s health (due to different…

• SCIENCE

Is smoking a pipe as bad as smoking a cigarette?

The arguments that say pipe tobacco isn’t as bad as cigarettes include: you don’t inhale pipe smoke as much as cigarettes, you merely “puff” a pipe like you do a cigar. “puffing” a pipe for the…

• ROMEO AND JULIET

What is happening at the moment of this declaration? from Romeo and Juliet: ROMEO O, she doth…

Literally, what is happening is that Romeo is seeing Juliet for the first time. He is at the ball at the Capulets’ home and he sees Juliet. He is immediately struck by her beauty and starts…

• MATH

Does a math teacher really affect how students learn and if so does it affect future years of…

As an English teacher, I guess it would be easy to argue that we have more influence on students than other subjects. However, for students who go on to pursue a math-related field later in life,…

• MENDING WALL

What do lines 40 to 46 in the poem “Mending Wall” by Robert Frost mean?explain each line please.

Line 40 finishes a sentence that was begun in Line 36. It describes the neighbor who is compared to an “old-stone savage armed,” as he lifts a stone and places it on top the wall. Yet, it is not…

• LITERATURE

What should not be classified as literature?What should not be classified as literature?

I’ve heard Roger Ebert, an expert in visual media, embrace nearly everything written and visual as art or literature except video games. Ebert says: There is a structural reason for that: Video…

• ROMEO AND JULIET

Question about Mercutio and the Queen Mab speech.What do you think Mercutio was getting at with…

In my opinion, Shakespeare is doing something more than just playing around with words, although I think that there is certainly some of that going on. What I think Shakespeare is doing here is…

• HISTORY

HOW DOES RAPID URBAN POPULATION GROWTH CONTRIBUTE TO ENVIRONMENTAL PROBLEMS?

Rapid urban growth can contribute to environmental problems in a number of ways. Some examples include: It typically means that more people are living in ways that require more fossil fuels to be…

• THE LEGEND OF SLEEPY HOLLOW

At the end of “The Legend of Sleepy Hollow”,the author gives several explanations for what…

Ichabod Crane was well known in the community to believe in witches and goblins and the story of the Headless Horseman. He had a copy of Cotton Mather’s book on witchcraft and: His appetite for…

• GOTHIC LITERATURE

If the gothic mode always uses the same conventions (dark, stormy night stuff) then how come it…

This is a very valid point you are making. I would say that Gothic conventions always seem to do something to our imaginations because it is set against the backdrop that creates a sense of…

• FLOWERS FOR ALGERNON

What are some symbols that could represent Charlie in Flowers for Algernon?I am trying to find a…

I believe the book paints a pretty obvious comparison between Charlie and Algernon. In many ways besides his progress and decline, Charlie is like a mouse. He is meek and timid – but not…