Is the number below an integer number (sqrt2 + 1)^3 – (sqrt2 -1)^3
- MATH
Is the number below an integer number (sqrt2 + 1)^3 – (sqrt2 -1)^3
(sqrt2 + 1)^3 – (sqrt2 -1)^3 we know that: (a+b)^3 = a^3 + 3ba^2 + 3ab^2 + b^3 (a-b)^3 = a^3 -3ba^2 + 3ab^2 -b^3 (sqrt2 + 1)^3 = 2sqrt2 + 3*2 + 3sqrt2 + 1= 5sqrt2 + 7 (sqrt2 – 1)^3 = 2sqrt2 – 3*2…
1 educator answer
- MATH
If m^2 + 2m = -1 calculate m^4 + 4m^3 + 6m^2 + 4m + 1
m^2 + 2m = -1 Let us square: (m^2 + 2m)^2 = m^4 + 4m^3 + 4m^2 = 1 ==> m^4 + 4m^3 + 6m^2 + 4m + 1 = 1 + 2m^2 + 4m + 1 = 2 + 2m^2 + 4m…
1 educator answer
- MATH
Calculate the value of the sum 1/(sqrt1+sqrt2) + 1/(sqrt2+sqrt3) + 1/(sqrt3+sqrt4) +…
1/(sqrt1+ sqrt2) + 1/(sqrt2 + sqrt3) + ….+ 1/(sqrt99+ sqrt100) We know that: 1/(sqrta + sqrt(1+a) = sqrt(a+1) -sqrta ==>sqrt2 – sqrt1 + sqrt3 -sqrt2 + …+ sqrt100 -sqrt99 = -sqrt1 + sqrt100 =…
1 educator answer
- MATH
Simplify the expression below : ( x^8 + x^6 + x^4 + x^2 + 1)/( x^4 + x^3 + x^2 + x + 1)
We’ll use the following formula: a^n – b^n= (a-b)*(a^(n-1) + a^(n-2)*b + ….+b^(n-1)) We’ve noticed that both, at denominator and numerator, we have the second paranthesis from such a…
- MATH
If a^2 – 100 = 0 then the value for a is ?
a^2 – 100= 0 You have 2 ways to solve: 1) a^2 – 100 = 0 ==> a^2 = 100 ==> take square root for both sides: ==> a= +-10 2) a^2 -100= 0 Factorize: ==> (a-10)(a+10) = 0 ==> a-10 = 0…
1 educator answer
- MATH
Which is the value of the sum? 1*1! + 2*2! + 3*3! + …+n*n! =
1*1! + 2*2! + …+ n*n! We know thatL n*n! = (n+1)! = n! Then, 1*1! = 2!-1! 2*2! = 3!-2! 3*3! = 4! – 3! Now substitute: ==> 2!-1!+3!-2!+4!-3! + …+ n!-(n-1)! + (n+1)! – n! = -1! + (n+1)! =…
1 educator answer
- DÉSIRÉE’S BABY
Did Armand truly love Desiree?
I totally agree with the prior post – very well done and insightful. The only thing I might add is that if you are preparing an assignment on this, you could use some other examples from literature…
1 educator answer
- MATH
Determine a half range cosine series to represent the function given byf(t) = 2t + 3 0…
The Fourier’s half range expansion in cosine series of a function f(t) defined over (0 ,L) is given by: f(t) = a0/2 + summation {an cos (npt/L) }, where p stands for pi and n =1,2,3…. Where a0…
- SCIENCE
Science “Cheats” (sort of…)Hello.. could we collaborate some science acronyms or ways we can…
For the planets: My very excellent mother just sent us nine pizzas (though w/Pluto out, you may have to change it!) For metric prefixes: King Hector Doesn’t Mind Drinking Chocolate Milk. For the…
2 educator answers
- SCIENCE
How many cancer(s) of the bone are there?
Bone cancer is caused by a problem with the cells that make bone. More than 2,000 people are diagnosed in the United States each year with a bone tumor. Bone tumors occur most commonly in children…
1 educator answer
- SCIENCE
what improvements can I make in the protocols of ad hoc network ?Are the existing simulation…
I think you should already know the NS-2 simulator but couldn’t find the support modules for those ad hoc routing protocols. Go to http://www-sop.inria.fr/members/Eitan.Altman/ns.htm and you’ll…
- THE PRINCESS BRIDE
Is the princess bride a fairy tale?Do you think the princess bride is a fairy tale? To what…
No, I don’t see the book or film as being a fairy tale. Rather, it is a satire which mocks fairy tale conventions. Consider the prince and princess, the “monsters” in the woods, the giant, true…
1 educator answer
- LITERATURE
Write a summary of “A LETTER TO GOD”.
A Mexican peasant, Lencho, is distraught because a hailstorm has totally destroyed his crops and his family will have no food or money through the winter to come. He is a simple man of great faith…
1 educator answer
- RHINOCEROS
What do we learn from Rhinoceros? What are some of the values and lessons learnt from reading…
One large and looming theme in the play is the idea of the individual in a changing world. For a great deal of time in literature and in art, we had been told how individuals should cling to their…
1 educator answer
- A TALE OF TWO CITIES
In book 2, chapters 7-9, What does Charles’s renunciation of his French title and inheritance…
Charles wants to give up his title in Chapter 9. He is the nephew of the Marquis. He tells his uncle that the family name, Darnay, stands for “fear and slavery” and he wants to disassociate himself…
2 educator answers
- SCIENCE
A hybrid is a combination of two or more things. For example, if you crossed a Poodle with a Labrador you would get a dog that had the traits of both (they are called Labradoodles). Hybrid corn…
1 educator answer
- MACBETH
What is Macbeth’s state of mind in Act Five Scene Three. What evidence can you find to justify…
Macbeth is in quite a worked-up state in this scene. He barges into Dunsinane Hall with his servants and his wife’s doctor and pridefully announces that he is not afraid of the English army OR…
2 educator answers
- SCIENCE
You might get some healthy disagreement on this topic, but I think that a case can be made for some snakes being more commonly felt as deadly than others. From what scientists say, the Inland…
2 educator answers
- SCIENCE
The K.U.B. is an x-ray, a structural test to visualize the kidneys, ureters, and bladder. In radiographic terms the x-ray is called a scout film or flat plate of the abdomen. The purpose of the…
1 educator answer
- WUTHERING HEIGHTS
How did the death of his wife affect Hindley?
The death of his wife leads to a pattern of self-destruction for Hindley. He begins to drink and gamble heavily. This leads him deeper and deeper into depression. Hindley takes no interest in his…
1 educator answer
- SCIENCE
BUN is a blood test that helps to evaluate renal function and hydration status. It measures the nitrogen fraction of urea, protein intake, and the ability of the kidneys to excrete waste products….
2 educator answers
- SCIENCE
Why would a high blood pressure medicine make you urinate more than usual?
Blood pressure medications have very different mechanisms of action. They work in different ways. Some medications used in the treatment of hypertension contain a diuretic. Others do not. Your…
1 educator answer
- EPICAC
How does Vonnegut develop EPICAC’s human side?
Vonnegut does this throughout the story, primarily through the narrator’s use of human pronouns to refer to the machine. He also uses verbs we would normally associate with human actions, rather…
1 educator answer
- ROMEO AND JULIET
Why is Lord Capulet a bad father, especially when compared to Atticus Finch in “To Kill a…
To me, Lord Capulet is not as good of a father as Atticus Finch because he is less understanding of his children. He does not try to walk in their shoes the way Atticus does. I think that we see…
5 educator answers
- SCIENCE
What do you mean by ANN ?My posted question is related with Research Methodology subject
The acronym ANN is Artificial Neural Networks, this is a type of model design used in ecological research. It has been used in studying ecosystems contained in rivers and lakes. It is helpful in…
1 educator answer
- SCIENCE
Explain finite element method of simulation with suitable example .My posted question is related…
Finite element analysis (FEA) is essentially exactly what it sounds like. You break down the differential equation or integral into finite elements over its boundary in order to approximate a…
1 educator answer
- SCIENCE
Discuss the method of Fuzzy logic based model formulation, using suitable example ?My posted…
Fuzzy logic is a form of multi-valued logic derived from fuzzy set theory to deal with reasoning that is approximate rather than precise. In contrast with “crisp logic”, where binary sets have…
- THE NATURAL
As long as you count the Pre Game section as a chapter, in the fourth chapter, Bump has just died and Memo is really busted up about it. Roy is hoping that this will lead to them eventually…
1 educator answer
- SCIENCE
Describe the kind of problems for which Monte Carlo will be an appropriate method of solution.My…
Monte Carlo Methods are used when it is not possible to compute an exact result using a deterministic algorithm. These methods rely on repeated computation with random numbers. They require a lot…
- A SEPARATE PEACE
In A Separate Peace, what is the significance of sports, and what is the point of including…
Sports are a point of contention in Gene and Finny’s relationship. Gene continually describes Finny’s incredible physical prowess, in addition to naming various trophies Finny has won for his…
1 educator answer
- GREAT EXPECTATIONS
Chapters 42-58 What key events occur between Magwitch’s appearance and Pip’s metting with…
With the exception of two chapters, what is under consideration here is Stage III of Great Expectations. This composes the part of the novel in which Pip has his second change of character; that…
1 educator answer
- ESSAY LAB
I have to do a 10 page research paper on Contemporary British Literature with five sources. I…
I found an interesting web-site that might help you with your paper. It offers many different perspectives with regard to contemporary British literature….
2 educator answers
- SULA
Case Study of SulaIs there a case study available on the character Sula?
I didn’t find a case study per se, but I did find a very descriptive synopsis of the book on Wikipedia. *See http://www.en.wikipedia/wiki/Sula_(novel) for the full synopsis.* Here’s a few lines…
1 educator answer
- HISTORY
What happened to Franklin?It once called itself a state in the United States….
I think the best way to answer this is to say that Franklin was not a real state. Because it was not real, nothing really had to happen to it — it never legally existed. This “state” existed for…
1 educator answer
- THE PULLEY
Looking for synecdoche and paradox in George Herbert’s “The Pulley.”As I understand it, paradox…
George Herbert (1593-1633) the Anglican priest poet who belongs to the Metaphysical School of poetry published in 1633 “The Temple: Sacred Poems and Private Ejaculations.” This poem “The Pulley” is…
- IN THE TIME OF THE BUTTERFLIES
What are some chapters in the book that have to do with oppression or alienation?Alienation is a…
Chapter Eight (“Patria: 1959”), which starts on page 148, gives several excellent examples of the spiritual alienation Patria felt after she witnesses a battle while she is on a church retreat….
1 educator answer
- HISTORY
Guns germs and steelhow was atahualpa and pizzarro meeting significant?
To Diamond, this is significant because it brings up many of the same questions that Yali asks. We are left to wonder why it was that the Spaniard was able to come to South America and take the…
2 educator answers
- GUNS, GERMS, AND STEEL
Why are barley and emmer wheat the two best grasses to domesticate?this can be found in chapter 8
Barley and emmer wheat were the best wild grains for Jordan Valley farmers to cultivate for a myriad of reasons. They were on the more palatable end of the wild cereal spectrum, and they produced…
1 educator answer
- GUNS, GERMS, AND STEEL
What is the major key to plant success regarding pollination and how did this affect the Fertile…
I think that this answer is better seen in Chapter 7, though it is referred to in Chapter 8 as well. The idea here is that some plants are able to reproduce themselves while others need to…
1 educator answer
- GUNS, GERMS, AND STEEL
What are the major advantages of the fertile crescent that predispose this region to early…
Diamond argues that there are three major reasons why the Fertile Crescent was likely to have agriculture develop. First, he says that it lies in the zone of Mediterranean climate. This climate…
1 educator answer
- GUNS, GERMS, AND STEEL
What is an example that explains how the tastier plants we have today went through the process of…
I think that you are referring to a process that is not really natural selection here. I think that you are talking about human beings selecting and planting certain types of seeds. This is not…
1 educator answer
- OTHELLO
What is the irony of the importance and function of the handkerchief in Othello?I know what it…
Two kinds of irony are called into play with the handkerchief. The first is dramatic irony, in which the reader knows more than the characters. We know, for instance, that Emilia stole the…
1 educator answer
- GUNS, GERMS, AND STEEL
What is the date and the invention that make horses a viable military option?This can be found in…
There are two possible answers here. The first is the invention of yokes and such that could allow horses to pull wagons and chariots. Diamond talks about how chariots were invented around 1800 BC…
1 educator answer
- CINEMA
In the movie fight club what caused Jack to make an imaginary friend?Can anyone answer me to…
It’s not immediately clear what exactly is the cause of Jack’s creation, Tyler Durden. We get the distinct impression, both through his experiences with Tyler and the reaction of his girlfriend…
1 educator answer
- SCIENCE
HOW CONTAGEOUS ARE TOENAIL INFECTIONS? HOW CAN THEY BE TREATED?
My mother currently has a problem with her toenails. Her toenails became discolored and thick and she promptly went to the doctor. Toenail infections can be caused by numerous things such as mold,…
1 educator answer
- SCIENCE
What causes a toenail to curl up?
Sometimes toenails that curl up (or down) are caused by fungal infections. Fungal infections in the toenails are fairly common, especially in women and people who are older than 60 years of age,…
1 educator answer
- THE SCARLET LETTER
Pearl, now seven, begins to display the quality of intuition. Give a few examples.
I think Pear begins to display the quality of intuition even before she is 7. It starts in Chapter 6 – when Pearl seems to only recognize her mother because of the scarlet letter. As a baby and a…
1 educator answer
- THE WESTING GAME
Which character discovered the “dead” body of Sam Westing even before it was reported to the…
Turtle Wexler, going into the old Westing house on a dare on Hallowe’en, finds what looks like a dead body. She assumes that it is Sam Westing, and the evidence given by the doctor in (the real)…
1 educator answer
- THE WESTING GAME
which character discovered the “dead” body of sam westing even before it was reported to the…
Turtle Wexler,in a bet with Sandy McSouthers, Doug Hoo, Otis Amber, and Theo Theodorakis, sneaks into the Westing house after smoke is discovered drifting from the chimney and she stumbles across…
- THE LOVE SONG OF J. ALFRED PRUFROCK
Was Prufrock a typical man of his times or was he unusual?
Concerning “The Love Song of J. Alfred Prufrock,” remember that Prufrock is a literary character. He’s not any kind of man. He’s a narrator of and character in a poem. Thus, your question can’t…