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car-leasing firm must decide how much to charge for maintenance on the cars it leases. After careful study, the firm determines that the rate

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car-leasing firm must decide how much to charge for maintenance on the cars it leases. After careful study, the firm determines that the rate of maintenance, M(x), on a new car will be approximately M(x) = 45(1 + x2) dollars per year, where x is the number of years the car has been in use. What total maintenance cost can the company expect for a 2-year lease? What minimum amount should be added to the monthly lease payments to pay for maintenance on a 2-year lease? Write a definite integral to find the total maintenance cost for a 2-year lease. dx

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