3rd Edition

ISBN: 9780134856971

Author: Briggs

Publisher: PEARSON

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Chapter 17.6, Problem 50E

Miscellaneous surface integrals Evaluate the following integrals using the method of your choice. Assume normal vectors point either outward or upward.

50. ∬ S ∇ ln | r | ⋅ n d S , where S is the hemisphere x² + y² + z² = a², for z ≥ 0, and where r = (x, y, z)

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Chapter 17.6, Problem 49E

Chapter 17.6, Problem 51E

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Chapter 17 Solutions

CALCULUS: EARLY TRANSCENDENTALS (LCPO)

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Miscellaneous surface integrals Evaluate the following integrals using the method of your choice. Assume normal vectors point either outward or upward . 50. ∬ S ∇ ln | r | ⋅ n d S , where S is the hemisphere x 2 + y 2 + z 2 = a 2 , for z ≥ 0, and where r = ( x , y , z )

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