Verify the divergence theorem for each of the following cases: (a) A = xy2ax + y3ay +

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Verify the divergence theorem

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for each of the following cases:

(a) A = xy2ax + y3ay + y2zaz and S is the surface of the cuboid defined by 0

(b) A = 2pzap + 3z sin 4a? ??? 4p cos ? az and S is the surface of the wedge 0

(c) A = r2ar + r sin ? cos a? and S is the surface of a quarter of a sphere defined by 0

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