Let . If the average value of on the interval is , where , then…

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

Problem

Let

f(x)=kx^{2}

. If the average value of

f

on the interval

[0,k]

12

, where

k>0

, then

k

equals (a)

\sqrt[3]{24}

(b) 6 (c)

\sqrt[3]{36}

(d)

\sqrt{12}