Unformatted text preview: t is in years ( t = 0 corresponds to 1987). If R ( t ) = 17 . 04 e . 016 t , ﬁnd the formula for A ( t ), the total amount of the commodity produced from 1987, as a function of t . 5. (10 points each) Solve each of the following. (a) Z 35 e9 x dx (b) Z 5 x2 dx (c) Z 5 2 ( x 3 + 5 x3) dx 6. (15 points) A local bakery wants to know how much it costs to keep a machine running in their shop. Taken into consideration are all expenses associated to owning and operating the machine, including depreciation due to wear and tear and necessary maintenance costs. Suppose that for a machine which has been in service for t months, expenses cost the company a rate of t 24 t + 250 dollars per month. If a machine has been in service for 15 months, ﬁnd the total expenses of keeping it running for an additional 9 months. 1...
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 Spring '08
 STAFF
 Calculus, relative maximum, separate answer sheets, possible extremum

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