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How much rain has fallen in the first half of the hour

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Reference no: EM131703355

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?

Reference no: EM131703355

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