Let R be the region bounded by y = ln x, the x-axis, and the line x

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Let R be the region bounded by y = ln x, the x-axis, and the line x = a, where a > 1.

a. Find the volume V₁(a) of the solid generated when R is revolved about the x-axis (as a function of a).

b. Find the volume V₂(a) of the solid generated when R is revolved about the y-axis (as a function of a).

c. Graph V₁and V₂. For what values of a > 1 is V₁(a) > V₂(a)?

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Apr 09, 2019 01:33 PM

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Let R be the region bounded by y = ln x, the x-axis, and the line x

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a Using integration by parts or a CAS we find that the ...View the full answer

Calculus Early Transcendentals

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