Recent content by bobsmiters

The original question read: Find the volume of the solid that lies under x^2 + y^2 + z^2 = 9, above the xy-plane and inside the cylinder x^2 + y^2 = 2x. It is possible that I made a mistake somewhere in getting to that integral.

\int_{\theta=0}^{\pi}\int_{r=0}^{2\cos\theta} \sqrt{9-r^2} * r drd\theta= The first integral didn't cause me much of a problem, however when I insert the 2cos(theta) and the '0' I can't figure out how to work through the second integral. I ended up with...

There wasn't supposed to be a 'u' in the question

The question I am dealing with has to do with the volume contained by two intersecting shapes I have created this integral and can't find a reasonable way of solving it. What is the best approach to solve this: \int_{r=0}^{\pi/2}\int_{u=0}^{2\cos\theta} \sqrt{9-r^2} * r drdu=

1. Find the area of the region bounded by x^2 - xy + y^2 = 2: a)let x = au + bv, y= au - bv therefore, 3b^2v^2 + a^2u^2 = 2 b) Choose a and b such that u^2 + v^2 = 1, therefore, a = sqrt 2 & b = (sqrt 6)/3 c) Applying these results and changing variables into u and v, evaluate the...

Re Sorry, I meant between (b/w) -1 and 1. I am using the MATLAB program.

okay new problem here. I am doing a Monte Carlo simulation to estimate pi. The question deals with throwing darts randomly at a board with a radius 1 with a square inscribed in it. I have done a script that randomly selected a number b/w -1 and 1. Then I was supposed to generate the results of...

I am taking a Math/Cmpt class and I am useless with this program that we need to use Matlab. Q: The derivative of a function f(x) can be approximated at the point x=x(sub)0 by a forward divided difference f'(x(sub)0) ≈ [f(x(sub)0 + h) - f(x(sub)0)] / h or by a central divided...

I have no luck with proofs... Prove that B_{r} ((x_{0}, y_{0})) = {(x,y) : || (x,y) - (x_{0}, y_{0})|| < r} is an open set in R. Now I know that to be an open set if and only if each of its points is an interior point and if it contains no boundary points. I would consider trying to prove...

Find the equation of reflection of the sphere in (x-1)^2+(y+2)^2+(z-4)^2=16 with respect to the point (2,1,-2). There was another question asking for the reflection equation but it was with respect to the xy-plane so it just meant changing some signs. What I came up with for this question was...

If a and b are relatively prime integers whose product is a square, show by means of an example that a and b are not necessarily squares. If they are not squares, what are they? Unless I read this question wrong I have not found and answer from 1 to 40... a little frustrated if anybody can...

If n has k digits in its binary numeral, show that there are at most 2^k/2 numbers n. Can there be exactly 2^k/2? I tried to understand this question with an example so I took n=36 which has the binary number 100100; k=6 but 2^k/2n gives 2^3 36 but 8 is not less than or equal to 6? Any help...