Verify the Divergence Theorem by evaluating ?? F · N dS as a surface integral and as a triple in

Name: Verify the Divergence Theorem by evaluating ?? F · N dS as a surface integral and as a triple integral. F(x, y, z) = 2xi - 2yj + z^2k S: cube bounded by the planes x = 0, x = 3, y = 0, y = 3, z = 0, z = 3
Uploaded: 2023-08-15T18:54:55-08:00
Duration: 2 min 19 s
Channel: Madhur L
Description: Verify the Divergence Theorem by evaluating ?? F · N dS as a surface integral and as a triple integral. F(x, y, z) = 2xi - 2yj + z^2k S: cube bounded by the planes x = 0, x = 3, y = 0, y = 3, z = 0, z = 3

Question

Drew Scalzo · Accepted Answer

First, we need to find the outward normal vector for each face of the cube. There are six faces,

Question

Verify the Divergence Theorem by evaluating ?? F · N dS as a surface integral and as a triple integral. F(x, y, z) = 2xi - 2yj + z^2k S: cube bounded by the planes x = 0, x = 3, y = 0, y = 3, z = 0, z = 3

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