DEPRECIATION The value V (in thousands of dollars) of an industrial machine is modeled by
where N is the number of hours the machine is used each day. Suppose further that usage varies with time in such a way that
where t is the number of months the machine has been in operation.
a. How many hours per day will the machine be used 9 months from now? What will be the value of the machine at this time?
b. At what rate is the value of the machine changing with respect to time 9 months from now? Will the value be increasing or decreasing at this time?
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