This is a two part problem. Compute the flux of the vector field F = 2x^2y^2(k) through the surface S, which is the cone (sqrt(x^2 + y^2) = z), with z between 0 and R, oriented downward. A. Parameterize the cone using cylindrical coordinates. B. Find the flux of F through S.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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This is a two part problem. Compute the flux of the vector field F = 2x^2y^2(k) through the surface S, which is the cone (sqrt(x^2 + y^2) = z), with z between 0 and R, oriented downward. A. Parameterize the cone using cylindrical coordinates. B. Find the flux of F through S.
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