Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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.
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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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