Let grams per minute represent the instantaneous rate at which salt dissolves in a…

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

Problem

Let

c'(t)=4t^{2}-6t+2

grams per minute represent the instantaneous rate at which salt dissolves in a solution for

0\le t\le 3

minutes. Calculate the total mass of salt, in grams, that dissolves during this time interval. (a)

24

(b)

20

(c)

15

(d)

21