Ice cream drips out of the bottom of an ice cream cone on a hot day at a rate of r(t) mL per second, as a child eats it slowly, where t is in seconds. If r(t) = 10 e^{-k t}, complete the definite integral expressing the quantity of ice cream lost in the first 3 minutes(s). (Watch units!) Don't calculate anything.
Total quantity = \int_{a}^{b} 10 e^{-kt} dt
(where a = and b = ).
What are the units of the answer to this integral? Write as you would on a written assignment.
3 answers