Question: XAMPLE 3 Evaluate Be(x2+ y2+ z2)3/2 where B is the ball: B =(x, y, z)x2+ y2+ z216. SOLUTION Since the boundary of B is a

XAMPLE 3 Evaluate Be(x2+ y2+ z2)3/2 where B is the ball: B =(x, y, z)x2+ y2+ z216. SOLUTION Since the boundary of B is a sphere, we use spherical coordinates: B =(,, )04,02,0 . In addition, spherical coordinates are appropriate because x2+ y2+ z2=2. Thus this equation gives Be(x2+ y2+ z2)3/2 =02040e(2)3/2d d d =0d20d402e3 d =cos()0(2)40 = .

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