Find c such that fave=f(c)

CMIIh

CMIIh

Answered question

2021-09-22

Find c such that fave=f(c)

Answer & Explanation

Raheem Donnelly

Raheem Donnelly

Skilled2021-09-23Added 75 answers

We know from the "Mean value theorem for integrals" that f(c)=favg. Therefore from that and the average value that and the average value that we have from part a) of the problem we make the following calculation.
(c3)2=1
c26c+8=0
By solving the quadratic equation we get c=2 or c=4
Thus our solutions are c=2 and c=4
Result: c=2 or c=4

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