Homework Statement
The solid region W is bounded by the ellipsoid x^2/3 + y^2/5 + z^2/7 = 1. Find the triple integral ∫∫∫cos((35x^2 + 21y^2 + 15z^2)^(3/2))dV.
Homework Equations
Domain: x^2/3 + y^2/5 + z^2/7 = 1
Integral: ∫∫∫cos((35x^2 + 21y^2 + 15z^2)^(3/2))dV
The Attempt at a...
I'm sorry if this sounds confusing. But I'm writing this question exactly how it is written in my textbook. I am stumped on this problem: Find the potential function and gravitational field of the earth. Then use those equations to determine the work that must be done to get a 100kg satellite...