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Definite Integrals Application Word Problem

A service station orders a 100 cases of motor oil every 6 months. The number of cases of oil remaining t months after the order arrives is modeled by f(t) = 100e^(-0.5t)

a) How many cases are there at the start of the six-month period? How many cases are left after the end of the six-month period?
b) Find the average number of cases in inventory over the six-month period.

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