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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
.