Let on the interval

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Let

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

on the interval

[1,4]

. (i) Calculate the average value of

f

[1,4]

. (ii) Determine all numbers

c

(1,4)

for which

f(c)

equals the average value found in part (i).