For A(r)=râ¸+â¸+rcospâ, find the value of §¸A.ds over the 3-D "Pac-Man"

surface shown below, which is a unit sphere, minus the 45° "mouth" the top. The

volume enclosed by S includes all points 0≤r≤1, 0≤ë, 0≤ø≤2л. Find the

Л

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value of this flux integral by:

a) Evaluating the surface integral directly

b) Use of the divergence theorem

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J/4