Verify the formula F.n dS div FdV in the Divergence Theorem by evaluating the surface integral and the triple integral. F(x, y, z) = xi + yj+ zk where o is the surface of the cube bounded by the planes x = 0,x = 8, y = 0, y = 3,z = 0, z = 7. F.n dS = %3D div FdV = i G

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Verify the formula
F.n dS
div FdV
in the Divergence Theorem by evaluating the surface integral and the triple integral.
F(x, y, z) = xi + yj+ zk
where o is the surface of the cube bounded by the planes x = 0,x = 8, y = 0, y = 3,z = 0,z = 7.
F.n ds =
i
div FdV
i
G
Transcribed Image Text:Verify the formula F.n dS div FdV in the Divergence Theorem by evaluating the surface integral and the triple integral. F(x, y, z) = xi + yj+ zk where o is the surface of the cube bounded by the planes x = 0,x = 8, y = 0, y = 3,z = 0,z = 7. F.n ds = i div FdV i G
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