Question
Asked Oct 7, 2019
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Find the average value of a function over an interval
Question
Given that f(x
fraction if necessary.)
= 9x 8, what is the average value of f(x) over the interval-5,6? (Enter your answer as an exact
Provide your answer below:
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Find the average value of a function over an interval Question Given that f(x fraction if necessary.) = 9x 8, what is the average value of f(x) over the interval-5,6? (Enter your answer as an exact Provide your answer below:

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Expert Answer

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Step 1

To find the average value, we integrate the function over the given interval and divide it by the total interval.

1
fо-ъ-а f(x)dx
а
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1 fо-ъ-а f(x)dx а

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Step 2

Consider the given function and the i...

6
1
f(6--5) (9x-8)dx
-5
6
f(c)=
11
-8x
2
(5)2
1
(6)2
9
f(c)
-8(6)
- 8(5)
9
11
2
2
f(e)=114-152.5
11
7
f(c)=-
2
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6 1 f(6--5) (9x-8)dx -5 6 f(c)= 11 -8x 2 (5)2 1 (6)2 9 f(c) -8(6) - 8(5) 9 11 2 2 f(e)=114-152.5 11 7 f(c)=- 2

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Tagged in

Math

Calculus

Integration