Friday

August 22, 2014

August 22, 2014

Posted by **shylo** on Thursday, December 3, 2009 at 10:01am.

Set up the problem and do not solve: The mass of the solid bounded by the surfaces 2x^2 + 2y^2= 9, z=0, z=3 with density function p(x,y)= x^2z. (Use Cylindrical Coordinates)

Please help me with this problem and shoe some steps how to set it up.

- Calculus -
**drwls**, Thursday, December 3, 2009 at 11:05amCylindrical coordinates are: r, theta, and z. The differential volume element is dV = r dtheta dr rz.

The curved cylinder boundary is the circle 2r^2 = 9, r = 3/sqrt2.

The volume interval for the mass is:

3-2pi-3/sqrt2

S..S..S..r^3 z cos^2(theta)d(theta)dr dz

0--0--0

I have substituted r cos theta for x.

The S's are supposed to be integral signs. The top and bottom rows show tihe integration limits

**Related Questions**

Calculus - Hi there i am having some problems trying to do my calculus homework...

AP Physic - Hi there I am having a lot of trouble trying to figure out this ...

Calculus - So I'm trying to do my homework on L'Hopital's rule. There's this one...

Math - The following are the last two problems on my test review. I am trying to...

Homework (in general)--help! - I was an A/B student a few years ago, and now ...

calculus - what is the derivative? - Let f(x) = 2x^2 + 1 a. Find the derivative ...

AP Physic - Hi there I am having so much problems trying to solve this physic ...

calculus - how do i use a taylor series centered at some x value to approximate ...

Math subject Calculus - Hi there I am having some difficulties to solve this ...

MATH - NEED HELP WITH SUMMATION NOTATIONS TOP NUMBERIS 6 OVER A SIDEWAYS Z ...