The rate at which rain is falling during a thunderstorm over a portion of an hour is modeled by r(t) = 16~./E-4t2 0:: t5 1 where t is in hours and r(t) is in inches per hour.
(a) Find the amount of rainfall. R(t). at any time t during this hour. Let R(0) = 1.
For full credit, you must show how to find the constant of integration.
(b) How much rain has fallen in the first half of the hour?