Water is pumped into a reservoir at a rate of liters per minute for minutes

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Water is pumped into a reservoir at a rate of

R(t)=k e^{-0.1t}+2

liters per minute for

0\le t\le20

minutes, where

k

is a constant. If the average pumping rate over this time interval is

5

liters per minute, find the value of

k

to the nearest hundredth.