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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.7 - Problem 46e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.7 - Problem 46e

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# Depletion of oil reserves Suppose that the rate at which a ISBN: 9780321570567 2

## Solution for problem 46E Chapter 7.7

Calculus: Early Transcendentals | 1st Edition

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Problem 46E

Depletion of oil reserves 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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Problem 46EDepletion of oil reserves Suppose that the rate at which a company extracts oil is given by r(t) = r0ekt, where r0=107 barrels/yr and k =0.005 yr1. Suppose also the estimate of the total oil reserve is 2 × 109 barrels. If the extraction continues indefinitely, will the reserve be exhaustedSolution:-Step1Given thatrate at which a company extracts oil .also the estimate of the total oil reserve is 2 × 109 barrelsStep2To find If the extraction continues indefinitely, will the reserve be exhaustedStep3 =Integrate both side we get,dt =dt =107 =So, the estimate of the total oil reserve is 2 × 109 barrels and 107*200 barrels .Therefore,oil reserve can not be exhausted.

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Step 3 of 3

##### ISBN: 9780321570567

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