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Use the divergence theorem to calculate the surface integral // F F. ds; that is, calculate the flux of F across S. F(x, y, z) = x²yzi + xy²zj + xyz²k, S is the surface of the box enclosed by the planes x = 0, x = a, y = 0, y = b, z = 0, and z = c, where a, b, and c are positive numbers

Use the divergence theorem to calculate the surface integral // F F. ds; that is, calculate the flux of F across S. F(x, y, z) = x²yzi + xy²zj + xyz²k, S is the surface of the box enclosed by the planes x = 0, x = a, y = 0, y = b, z = 0, and z = c, where a, b, and c are positive numbers

Algebra & Trigonometry with Analytic Geometry
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 // F F. ds; that is, calculate the flux of F across S. F(x, y, z) = x²yzi + xy²zj + xyz²k, S is the surface of the box enclosed by the planes x = 0, x = a, y = 0, y = b, z = 0, and z = c, where a, b, and c are positive numbers
Transcribed Image Text:Use the divergence theorem to calculate the surface integral // F F. ds; that is, calculate the flux of F across S. F(x, y, z) = x²yzi + xy²zj + xyz²k, S is the surface of the box enclosed by the planes x = 0, x = a, y = 0, y = b, z = 0, and z = c, where a, b, and c are positive numbers
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