The average value of the function on the interval is

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

Problem

The average value of the function

f(x)=kx^{2}+2

on the interval

[0,2]

10

. Find the value of

k

. (a)

\displaystyle k = \dfrac{27}{4}

(b)

\displaystyle k = \dfrac{9}{2}

(c)

\displaystyle k = 6

(d)

\displaystyle k = 4