Hi, I have a question regarding preparation for the upcoming AP exam ( Read more... )

Question: A cone shaped drinking cup is to be made from a circular piece of paper of radius R by cutting out a sector and joining the edges. Find the maximum capactiy of such cup ( Read more... )

So the AP exam is approaching and one thing is really bothering me. Indeterminate forms. I mean I know L'Hospital and everything, but, let's say you have a limit that equals infinity times zero. Is "indeterminate" the only way to express this??

Hello,

I'm having a lot of trouble with this practice problem for Linear Algebra about (V,K Lambda design).

I know this isn't exactly calculus, but I find people here respond a lot faster than those in the other group.  If it's too off topic I'll delete it :)


It states: determine the set of all v such that there exists a (v,2,1)-design.  describe the ( Read more... )

But I'm pretty new to calculus and I'm trying to teach myself how to do an integral because my math teacher confused the hell out of me the other day.

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Recently, I create this website - www.cosmomni.com, which a non-profit website; you can use it to obtain needed academic resources from and to share your valuable academic resources of any language (e.g., English, Russian, Chinese, etc.) to others. Cosmomni is a wiki-based Website, on which the spirit of sharing knowledge is advocated. Currently, ( Read more... )

I have a pretty basic question:

How do you solve a limit if the f(x) is a fraction and has a square root in the numerator, without using the quotient rule, for instance:

limx→2[√(x) - 2/(2x+5)]

Thanks.

This is from my differential equations homework:

(x2-1)y’’ - (x-1)y’ - 3y = 0

I’m getting p0 = q0 = 0 when using the method of Frobenius. It always worries me when things come out simply. Can someone tell me if what I've got is right?

1.  Simplify the following expression using fundamental identities: (1-cos^2 theta)/sin theta.

2.  Verify the identity: (tan x - sec x)/ sin x = (1- csc x) sec x.

3.  In which quadrants is cos x = -(square root of 1- sin^2 x)  (true)

4.  Verify the identity: 2 sin x cos x = sin2x

5.  What is the exact value of : cos^4 (pi/8) + sin^4 (pi/8) - 2sin^2 ( Read more... )

Hey. I'm in Pre-AP Calculus, and I'm in need of some help. I'm having a lot of trouble trying to figure out how my teacher got the answer.

Write an algebraic expression equivalent to
1. sin ( 2 arctan x)
I thought that you pull the 2 to the x and make x to the power of 2, but the answer is 2x/(1+x^2). I looked in the book, but I couldn't find problems ( Read more... )