Find the value of such that the average value of the function on the interval equals .

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

Problem

Find the value of

b>1

such that the average value of the function

f(x)=3x

on the interval

[1,b]

equals

9

. (a)

6

(b)

7

(c)

5

(d)

8