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?

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...