For on the interval

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

Problem

For

f(x)=x^{2}

on the interval

[0,2]

, which of the following equals a value of

c

(0,2)

such that

f(c)

is the average value of

f

[0,2]

? (a)

\sqrt{\dfrac{8}{3}}

(b)

\sqrt{\dfrac{4}{3}}

(c)

\sqrt{2}

(d)

\dfrac{4}{3}