The rate of change of a pollutant concentration in a lake is given by milligrams per…

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

Problem

The rate of change of a pollutant concentration in a lake is given by

p(t)=k\,(2-t)

milligrams per liter per hour for

0\le t\le4

, where

k>0

. If the total accumulated magnitude of change in concentration over this period is

12

mg·L

^{-1}

·h, determine the value of

k