Use the Divergence Theorem to calculate the surface integral F(x, y, z) = x¹i - x³z²j + 4xy²zk, S is the surface of the solid bounded by the cylinder x² + y² = 9 and the planes z = x + 4 and z = 0. TS₁ Need Help? Read It F. ds; that is, calculate the flux of F across S.

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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Use the Divergence Theorem to calculate the surface integral
T
F(x, y, z) = x¹i − x³z²j + 4xy²zk,
S is the surface of the solid bounded by the cylinder x² + y²
=
9 and the planes z = x + 4 and z = 0.
Need Help?
F. ds; that is, calculate the flux of F across S.
Read It
Transcribed Image Text:Use the Divergence Theorem to calculate the surface integral T F(x, y, z) = x¹i − x³z²j + 4xy²zk, S is the surface of the solid bounded by the cylinder x² + y² = 9 and the planes z = x + 4 and z = 0. Need Help? F. ds; that is, calculate the flux of F across S. Read It
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