Use the divergence theorem to calculate the surface integral Th F⚫ds; that is, calculate the flux of F across S. F(x, y z) = e tan(z)i + x²yj +ex cos(y) k, S is the surface of the solid that lies above the xy-plane and below the surface z = 8-x-y³, -1 ≤ x ≤ 1,-1 ≤ y ≤ 1

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
Th
F⚫ds; that is, calculate the flux of F across S.
F(x, y z) = e tan(z)i + x²yj +ex cos(y) k, S is the surface of the solid that lies above the xy-plane and below the surface z = 8-x-y³, -1 ≤ x ≤ 1,-1 ≤ y ≤ 1
Transcribed Image Text:Use the divergence theorem to calculate the surface integral Th F⚫ds; that is, calculate the flux of F across S. F(x, y z) = e tan(z)i + x²yj +ex cos(y) k, S is the surface of the solid that lies above the xy-plane and below the surface z = 8-x-y³, -1 ≤ x ≤ 1,-1 ≤ y ≤ 1
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