Answer:
Average slope =-242
c=6.67
Step-by-step explanation:
We are given that a function
and interval (4,9)
We have to find the average slope of the given function and value of c in the given interval.
Using mean value theorem
a=4 and b=9
f(9)=-1312
Substitute the values then we get
Hence, the average value of slope is -242.
We know that f'(c)=-242
Substitute x=c
Then
Dividing on both sides by 2
and
and c=-6 It is not possible because it does not lie in the given interval
Therefore,c=6.67 lie in the given interval