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F. dS; that is, calculate the flux of F across S. Js Use the Divergence Theorem to calculate the surface integral F(x, y, z) = (cos(z) + xy²) i + xe¯2 j + (sin(y) + x²z) k, S is the surface of the solid bounded by the paraboloid z = x² + y2 and the plane z = 9.

F. dS; that is, calculate the flux of F across S. Js Use the Divergence Theorem to calculate the surface integral F(x, y, z) = (cos(z) + xy²) i + xe¯2 j + (sin(y) + x²z) k, S is the surface of the solid bounded by the paraboloid z = x² + y2 and the plane z = 9.

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• dS; that is, calculate the flux of F across S. F(x, y, z) = (cos(z) + xy²) i + xe-²j+ (sin(y) + x²z) k, S is the surface of the solid bounded by the paraboloid z = x2 + y2 and the plane z = 9.
Transcribed Image Text:Use the Divergence Theorem to calculate the surface integral F• dS; that is, calculate the flux of F across S. F(x, y, z) = (cos(z) + xy²) i + xe-²j+ (sin(y) + x²z) k, S is the surface of the solid bounded by the paraboloid z = x2 + y2 and the plane z = 9.
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