Consider the region R bounded by the curves y = ax 2 + 1, y = 0,

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Consider the region R bounded by the curves y = ax² + 1, y = 0, x = 0, and x = 1, for a ≥ -1. Let S₁ and S₂ be solids generated when R is revolved about the x- and y-axes, respectively.

a. Find V₁ and V₂, the volumes of S₁ and S₂, as functions of a.

b. What are the values of a ≥ -1 for which 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 01:24 PM

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Consider the region R bounded by the curves y = ax 2 + 1, y = 0,

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a V f ax 1 dx fax 2ax 1 dx a5 2a...View the full answer

Calculus Early Transcendentals

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