Answer:
The numbers
such that the average value of
on the interval [0, b] is equal to 8 are
and
.
Step-by-step explanation:
The mean value of function within a given interval is given by the following integral:

If
,
,
and
, then:





The roots of this polynomial are determined by the Quadratic Formula:
and
.
The numbers
such that the average value of
on the interval [0, b] is equal to 8 are
and
.