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) = x4i − x3z2j + 4xy2zk, S is the surface of the solid bounded by the cylinder x2 + y2 = 4 and the planes z = x + 3 and z = 0.
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) = x4i − x3z2j + 4xy2zk, S is the surface of the solid bounded by the cylinder x2 + y2 = 4 and the planes z = x + 3 and z = 0.
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
| S |
that is, calculate the flux of F across S.
F(x, y, z) = x4i − x3z2j + 4xy2zk,
S is the surface of the solid bounded by the cylinder
x2 + y2 = 4
and the planes
z = x + 3 and z = 0.
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