Suppose that the rate at which a company extracts oil is given by r(t) = r 0

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Suppose that the rate at which a company extracts oil is given by r(t) = r0e-kt, where r0 = 107 barrels/yr and k = 0.005 yr-1. Suppose also the estimate of the total oil reserve is 2 × 109 barrels. If the extraction continues indefinitely, will the reserve be exhausted?

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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