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• Math
The limit lim_(x->2) (3x^2 - 4x - 4)/(x - 2) has to be determined. Notice that substituting x = 2 gives the numerator as 3*2^2 - 4*2 - 4 = 12 - 8 - 4 = 0 and the denominator is also 2 - 2 = 0....

• Math
The domain of the function f(x) = (sqrt(x^2-16))/(x +2) has to be be determined. The domain of a function is the set of x for which f(x) has real values. If f(x) = (sqrt(x^2-16))/(x +2) is real...

• Math
The function f(x) = sqrt ((x^2 - 16)/(x + 2)) The square root function sqrt x, has a real value for x greater than or equal to 0 (x^2-16)/(x - 2) >= 0 => ((x - 4)(x + 4))/(x - 2) >=...

• Math
f(x)= sqrtx - 3x^2  We need to find the domain. We know that the domain is all x values such that f(x) is defined. However, we have a square root which is not defined for negative values. Then...

• Math
The domain of the function f(x) = sqrt((x-2)/(x+4)) has to be determined. For f(x) to be real (x - 2)/(x+4) >= 0 => x - 2 >= 0 => x >= 2 Also x + 4 != 0 => x != -4...

• The Great Gatsby
I think that you can choose any character from The Great Gatsby and examine their static of fluid characteristics to enhance the message that Fitzgerald wants to convey. One great example of this...

• Reference
I do not know if you are an American student, but presently, there are many numbers in the news because of the presidential election coming up very soon. Every day, you can read an article in the...

• Science
Please see the attached diagrams, although note the scale is exaggerated for clarity. The two locations on the equator are labeled A and B. They are 600 miles apart. The center of the earth is...

• History
The main positive way in which immigrants affected the American economy during the time of the Industrial Revolution was by providing cheap and plentiful labor for the manufacturing industries that...

• Literature
Our personal philosophy is what guides or life. The choices we make, the things we do, the careers we pursue, the partners we choose, our hobbies, our causes--all are tied in to our personal...

• Essay Lab
If you look at how you posted your question, you've actually already split your information into three paragraphs by placing ellipses into the sentences. The first paragraph will act as the set-up,...

• Teaching Community
It is important to remember that teachers often have 100+ students in their classrooms, and communicating with all of their parents in a meaningful way can be very onerous if not impossible. So, in...

• The Merchant of Venice
Antonio's melancholy is the topic of conversation at the opening of the play, Act I, scene i. He begins with these words: "In sooth, I know not why I am so sad," and though his comrades try to...

• Math
(d^2y)/(dx^2) - 3(dy)/(dx) + 2 = x^2 To find the general equation, we can find the characteristic equation first. lambda^2-3lambda+2 = 0 (lambda-1)(lambda-2) = 0 This gives lambda = 1 or...

• Science
I don't know that I would say they are as smart as humans are. If so, I would expect to see them running around in lab coats studying us, don't you think? Seriously, dolphins do register way high...

• Law and Politics
Any product that is the result of human intellect, that is, something created, invented, or produced out of a concept is known as "intellectual property". It often consists on something that has no...

• Teaching Community
Reading with purpose is one. This means looking for something specific when you read. Another strategy is pre-reading. This can mean either skimming headings for textbooks or reading summaries...

• A Worn Path
This is a contemptuous dismissal of Phoenix and of all African-Americans. It suggests that they wouldn't miss a spectacle, and/or a chance to see something impressive and get something free for...

• Marriage Is a Private Affair
I think that Achebe's title helps to assess what one thinks of the marriage between two people. Consider that Okeke is characterized that thinking that marriage is not a private affair. He...

• Science
The short answer to the question is that information is transmitted to a radio by modulating a carrier signal (by packaging the original information inside a sinusoidal signal). After this packed...

• East of Eden
Many an author has blended history and fiction in order to record the experiences of the human heart which are indeed true. In fact, these experiences are the only real truth that does exist since...

• Texaco
For the blacks and mulattos of Patrick Chamoiseau’s Martinique, the alternatives are not pleasant. The City, always capitalized to emphasize its prominent place in the culture the author depicts...

• History
This is a fairly powerful question and the subject of many books. To offer a comprehensive answer through eNotes is a faint hope, at best. Rather, I hope you can see this answer and the others...

• I Stop Writing the Poem
Here is the text of the poem on enotes. Also, there is a link to a study guide. This is a wonderful poem describing the poet's sense of loss at the death of her husband. However, this poem has...

• Math
You want to find the x-intercepts. That means the points at which y = 0. Therefore, x^3 +4 = 0 x^3 = -4 x = root(3)(-4) x = -1.5874 Therefore the x-intercept is -1.5874. Your answer...

• Teaching Community
I have taught classes at both the high school and the college level. Because I have done this, I have a pretty good grip on how these levels differ. To me, the major difference is in the amount of...

• Social Sciences
I think I would tend to agree with the idealists (in International Relations terms) who believe that democracy is the best hope for lasting interstate peace. However, I would qualify this by...

• Teaching Community
I would imagine that you will receive many responses to this inquiry, and you might want to put it on the discussion board, so that we can have a kind of dialogue. I think that NCLB had one...

• Religion
The story can be found in the Old Testament, when God selected Abraham to be the founder of the nation that he selected for himself to be his people. The rest of the Biblical narrative tells us of...

• Great Expectations
Orphaned himself by the sentencing of his father to debtors' prison, Charles Dickens became a strong advocate for the orphan. Pip, Biddy, Magwitch, and Estella are all orphans and suffer from not...

• Of Mice and Men
To me, the real difference between the dream of the two men on the one hand, and the woman on the other, is that the men want to be independent while the woman wants to be famous. These are really...

• Cinema
I would suggest that there is a particular sense of hopelessness experienced when watching the forced movement of Native Americans off their lands at the hands of the White government. The idea of...

• History
We cannot know with absolute certainty why people come to believe certain things or to have certain views. We can only speculate. I would argue that Americans see Native Americans in these...

• Math
You need to solve the matrix equation. Notice that the matrix has 4 rows and columns. ((1, 2, 3, 4),(-2, 2-x, 1, 7),(3, 6, x+4, 12),(- x,-14, 2, 3))  Evaluate the determinant of this matrix...

• Religion
I'm afraid that there is no longer any choice. Christmas has become very much secularized and there is no way to go back on that. However, if you are coming at this from a Christian perspective,...

• World War I
The Treaty of Versailles had a very strong impact on the history of the world. Its main impact was to bring about World War II. This was not the only impact of the treaty. The treaty did set up...

• Teaching Community
I feel your pain. The way in which today's students--from middle school through college--take short cuts in order to "save time" on assignments has led me to similar techniques as the college prof...

• Social Sciences
The first thing I would do would be to try to get access to the website that goes along with your text. You surely need to be able to look at that so that you can know what your book covers and in...

• The Necklace
Mathilde spent her entire life wanting to be socially important, wealthy, own many luxurious possessions, and desired. While she was a beautiful woman with a loving husband, she felt she deserved...

• By the Waters of Babylon
One of the things that hold John back in "By the Waters of Babylon" are the fact that he is venturing to the Great Dead place (formerly New York City). According to tribal legend, one...

• Rain of Gold
Lupe is 18 when she marries Salvador. She was born in 1911, & they married in 1929. Salvador is 25. He was born in 1904. Their age difference is one reason for Lupe's family's reluctance in the...

• Julius Caesar
Cassius originally comes up with the idea to kill Caesar. Cassius sided with Pompey and is still convinced that Caesar is not fit to rule Rome. Cassius believes that Caesar will become a tyrant. In...

So are you just asking how you can keep from losing the business that you start? It seems to me that the answer is that you have to have good business practices and a good business plan to begin...

• Religion
Islam originated with the Prophet Muhammad. He lived in Mecca in Saudi Arabia from about 570 to 630 CE. Muslims believe that the Koran was revealed to Muhammad by God over the course of more than...

• Roll of Thunder, Hear My Cry
The Logan children learn to take on the role of agents of change by the example of the adult members of their family, as well as from their words of advice and encouragement . From their parents...

• Once Upon a Time
There are several themes that can be seen in Gordimer’s short story. I would examine the enotes essentials page on themes of the story. I think that there are several themes that can be taken....

• Math
We have to differentiate f(z)= cos z/(1+ sin z) f(z)= cos z/(1+ sin z) => (cos z)(1 + sin z)^-1 f'(z) = -cos z(1 + sin z)^-2 * cos z - sin z (1 + sin z)^-1 => -(cos z)^2/(1 + sin z)^2 - sin...

• Twilight
The author, Stephenie Meyer, is a Mormon and the book is as PG as the movie. Take note, however, that the last book does address some more adult themes (but nowhere to the extent of many young...

3x^2-9y^2=8 Take the derivative on both sides with respect to x. 6x-9*2y*(dy)/dx = 0 -18y(dy)/dx = -6x 18y(dy)/dx = 6x Get the derivative on both sides again....