Suppose F(x, y, z) = (x, y, z). Let W be the solid bounded by the paraboloid z = x² + y² and the plane z = 25. Let S be the closed boundary of W oriented outward. (a) Use the divergence theorem to find the flux of F through S. F.dà 1875pi (b) Find the flux of F out the bottom of S (the truncated paraboloid) and the top of S (the disk). Flux out the bottom = -625pi Flux out the top = 2500pi
Suppose F(x, y, z) = (x, y, z). Let W be the solid bounded by the paraboloid z = x² + y² and the plane z = 25. Let S be the closed boundary of W oriented outward. (a) Use the divergence theorem to find the flux of F through S. F.dà 1875pi (b) Find the flux of F out the bottom of S (the truncated paraboloid) and the top of S (the disk). Flux out the bottom = -625pi Flux out the top = 2500pi
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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