Calc 3 Help!! cylindrical coordinates and integral!!
Favorites|Homepage
Subscriptions | sitemap
HOME > Mathematics > Calc 3 Help!! cylindrical coordinates and integral!!

Calc 3 Help!! cylindrical coordinates and integral!!

[From: ] [author: ] [Date: 11-08-18] [Hit: ]
!!x^2 + y^2 = 4 ==> r = 2.So,= 32π/3.I hope this helps!......
Use cylindrical coordinates to compute the integral of f(x, y, z) =(x^2+y^2)^.5 over the region described by x^2+y^2
Please Help!! Thanks!!! <3

-
Converting to cylindrical coordinates yields
x^2 + y^2 = 4 ==> r = 2.

So, ∫∫∫ (x^2 + y^2)^(1/2) dV
= ∫(θ = 0 to 2π) ∫(r = 0 to 2) ∫(z = 0 to 2) (r^2)^(1/2) * r dz dr dθ
= ∫(θ = 0 to 2π) dθ * ∫(r = 0 to 2) r^2 dr * ∫(z = 0 to 2) dz
= 2π * (8/3) * 2
= 32π/3.

I hope this helps!
1
keywords: Calc,cylindrical,and,integral,Help,coordinates,Calc 3 Help!! cylindrical coordinates and integral!!
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .