Use the Divergence Theorem to calculate the surface integral ∫∫S F · dS; that is, calculate the flux of F across S. F(x,y,z) = 3xy2 i + xez j + z3 k S is the surface of the solid bounded by the cylinder y2 + z2 = 9 and the planes x = -1 and x = 3
Use the Divergence Theorem to calculate the surface integral ∫∫S F · dS; that is, calculate the flux of F across S. F(x,y,z) = 3xy2 i + xez j + z3 k S is the surface of the solid bounded by the cylinder y2 + z2 = 9 and the planes x = -1 and x = 3
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 ∫∫S F · dS; that is, calculate the flux of F across S.
F(x,y,z) = 3xy2 i + xez j + z3 k
S is the surface of the solid bounded by the cylinder y2 + z2 = 9 and the planes x = -1 and x = 3.
S is the surface of the solid bounded by the cylinder y2 + z2 = 9 and the planes x = -1 and x = 3.
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