RR r n d over the entire surface of the hemisphere x2 + y2 + z2 = 9, z 0, where r = xi +

Chapter 6, Problem 24

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QUESTION:

RR r n d over the entire surface of the hemisphere x2 + y2 + z2 = 9, z 0, where r = xi + yj + zk.

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QUESTION:

RR r n d over the entire surface of the hemisphere x2 + y2 + z2 = 9, z 0, where r = xi + yj + zk.

ANSWER:

Step 1 of 3

Using Divergence Theorem, which states

Where  is the surface area that encloses the volume

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