Let be continuous on with average value over that interval

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

Problem

Let

f

be continuous on

[0,4]

with average value

7

over that interval. What constant

c

minimizes

\displaystyle \int_{0}^{4}\bigl(f(x)-c\bigr)^2\,dx

? (a)

6

(b)

4

(c)

7

(d)

8