Consider the linear function

MATHEMATICS · Multi-part · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

f(x)=4x+5

. On the interval

[a,9]

(with

a<9

), the average value of

f

is given to be

13

. (i) Formulate the equation that links the unknown lower limit

a

with the given average value. (ii) Solve the equation to determine the value of

a