Let on . Which of the following values of in satisfies equal to the average value of…

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

Problem

Let

f(x)=x^{3}-3x^{2}+2

[0,4]

. Which of the following values of

c

(0,4)

satisfies

f(c)

equal to the average value of

f

[0,4]

? (a)

2

(b)

3

(c)

\dfrac{7}{2}

(d)

0