A new piece of industrial equipment will depreciate in value rapidly at first and then less rapidly as time goes on. Suppose that the rate (in dollars per year) at which the book value of a new milling machine changes is given approximately by V'(1) = 500t - 6000 0sts 10 where V(t) is the value of the machine after t years. a) What is the total loss in value of the machine in the first 5 years? b) What is the total loss in value of the machine In the second 5 years? a) Show detailed work on paper to get full credit. Total loss in value b)Show detailed work on paper to get full credit. Total loss in value