(a) Evaluate where n is an integer and D is the region bounded by the circles with...

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(a) Evaluate

where n is an integer and D is the region bounded by the circles with center the origin and radii r and R, 0 < r < R.

(b) For what values of n does the integral in part (a) have a limit as r → 0+?

(c) Find

where E is the region bounded by the spheres with center the origin and radii r and R, 0 < r < R.

(d) For what values of n does the integral in part (c) have a limit as  r → 0+?

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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