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.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 21E
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e3c56e9-1493-49eb-9dfb-1a00b0427f8a%2F6173b9c5-ab8a-4fef-8d7b-d7e42403bd69%2Fduamjwu_processed.jpeg&w=3840&q=75)
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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