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16₁ Use the Divergence Theorem to calculate the surface integral F(x,y, z)= ex tan(z)i + y7 - x2j + x sin(y)k, S is the surface of the solid that lies above the xy-plane and below the surface z = 2 --, -1 ≤x≤1, -1≤ys 1. F ds; that is, calculate the flux of F across S.

16₁ Use the Divergence Theorem to calculate the surface integral F(x,y, z)= ex tan(z)i + y7 - x2j + x sin(y)k, S is the surface of the solid that lies above the xy-plane and below the surface z = 2 --, -1 ≤x≤1, -1≤ys 1. F ds; that is, calculate the flux of F across S.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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J₁₁ Use the Divergence Theorem to calculate the surface integral F(x, y, z)= ev tan(z)i + y√7 - x²j + x sin(y)k, S is the surface of the solid that lies above the xy-plane and below the surface z = 2 - 4 - , -1 ≤x≤1, -1 ≤y≤ 1. F ds; that is, calculate the flux of F across S.
Transcribed Image Text:J₁₁ Use the Divergence Theorem to calculate the surface integral F(x, y, z)= ev tan(z)i + y√7 - x²j + x sin(y)k, S is the surface of the solid that lies above the xy-plane and below the surface z = 2 - 4 - , -1 ≤x≤1, -1 ≤y≤ 1. F ds; that is, calculate the flux of F across S.
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