Let a > 0 and let R be the region bounded by the graph of y =

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Let a > 0 and let R be the region bounded by the graph of y = e-ax and the x-axis on the interval [b, ∞].

a. Find A(a, b), the area of R as a function of a and b.

b. Find the relationship b = g(a) such that A(a, b) = 2.

c. What is the minimum value of b (call it b*) such that when b > b*, A(a, b) = 2 for some value of a > 0?

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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