Question

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) = 12x3zi + 12y3zj + 9z4k,

S is the sphere with radius R and center the origin.
П.
F• dS; that is, calculate the flux of F across S.
Use the Divergence Theorem to calculate the surface integral
12x3zi + 12y zj + 9z^k,
F(x, y, z)
S is the sphere with radius R and center the origin.

Image Transcription

П. F• dS; that is, calculate the flux of F across S. Use the Divergence Theorem to calculate the surface integral 12x3zi + 12y zj + 9z^k, F(x, y, z) S is the sphere with radius R and center the origin.

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