Saturday

April 19, 2014

April 19, 2014

Posted by **Mackenzie** on Wednesday, November 28, 2012 at 2:28pm.

I used the equation cos (phi)*sin(phi)*rho d(rho)d(phi)d(theta) with the given boundaries.

I got -632*pi*sqrt(3)/12

But that answer is wrong.

- Calculus -
**Mackenzie**, Wednesday, November 28, 2012 at 2:29pmThe equation I used is cos (phi)*sin(phi)*rho^2 d(rho)d(phi)d(theta)

I misspelled it on the first message.

- Calculus -
**Steve**, Wednesday, November 28, 2012 at 2:48pmHmmm.

∫∫∫ f(p,θ,φ) dv

=∫[0,π/3]∫[0,2π]∫[3,7] p^2 sinφ cosφ dp dθ dφ

= ∫[0,π/3]∫[0,2π] 316/3 * 1/2 sin2φ dθ dφ

= 316π/3 ∫[0,π/3] sin2φ dφ

= -158π/3 (-1/2 - 1)

= 316π

better double-check my math :-)

- Calculus -
**Steve**, Wednesday, November 28, 2012 at 2:56pmoops. That'd be 79π on that last step.

**Related Questions**

calculus - We are not going to do that work for you, but will be glad to help ...

Calculus - Evaluate the integral by changing to spherical coordinates. The outer...

Calculus - Evaluate the integral by changing to spherical coordinates. The outer...

Calculus - Evaluate the integral by changing to spherical coordinates. The outer...

Calculus - Evaluate the integral by changing to spherical coordinates. The outer...

math - use spherical coordinates to evaluate the triple integral of (e^-(x^2+y^2...

calculus - 1. integral -oo, oo [(2x)/(x^2+1)^2] dx 2. integral 0, pi/2 cot(theta...

Maths trigonometry - using basic trigonometry derive the following equations, ...

Precalculs - I have no idea how to do these type of problems. -------Problem...

calculus - Use Fundemental Theorem of Calculus part 1 to find the derivatives of...