A chemical reactor accumulates product at a rate of grams per minute

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A chemical reactor accumulates product at a rate of

r(t)=e^{0.2t}

grams per minute, where

t

is the time in minutes after the reaction starts and the initial amount of product is zero. At what time

t

(in minutes) has exactly

15

grams of product been produced? (a)

5\ln 2

(b)

4\ln 5

(c)

5\ln 4

(d)

5\ln 3