If the average value of on the interval equals

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

Problem

If the average value of

f(x)=x^{2}

on the interval

[0,a]

equals

9

, determine the positive value of

a

. (a)

6

(b)

3\sqrt3

(c)

9

(d)

3