Calculus Spherical Coordinates
Favorites|Homepage
Subscriptions | sitemap
HOME > Mathematics > Calculus Spherical Coordinates

Calculus Spherical Coordinates

[From: ] [author: ] [Date: 11-11-11] [Hit: ]
x² + y² + z² = 4z ==> ρ² = 4ρ cos φ ==> ρ = 4 cos φ.So, we have 0 ≤ ρ ≤ 4 cos φ, 0 ≤ φ ≤ π/4, and 0 ≤ θ ≤ 2π.I hope this helps!......
I don`t understand how to do this question

A solid lies above the cone z = √ x² + y² and outside the sphere x² + y² + z² = 4z. Write a description of the solid in terms of inequalities involving spherical coordinates.

-
In spherical coordinates,
z = √(x² + y²) ==> ρ cos φ = ρ sin φ ==> φ = π/4
x² + y² + z² = 4z ==> ρ² = 4ρ cos φ ==> ρ = 4 cos φ.

So, we have 0 ≤ ρ ≤ 4 cos φ, 0 ≤ φ ≤ π/4, and 0 ≤ θ ≤ 2π.

I hope this helps!
1
keywords: Coordinates,Calculus,Spherical,Calculus Spherical Coordinates
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .