Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that a? f(x) = square root (20 − x), [−5, 20]If the Mean Value Theorem can be applied,...
Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that a?
f(x) = square root (20 − x), [−5, 20]
If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that
f '(c) =
f (b) − f (a)
b − a
. (Enter your answers as a comma-separated list. If the Mean Value Theorem cannot be applied, enter NA.)
c =
If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that
f '(c) =
f (b) − f (a)
b − a
. (Enter your answers as a comma-separated list. If the Mean Value Theorem cannot be applied, enter NA.)
c =
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Expert Answers
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You need to use the mean value theorem for the function `f(x) = sqrt(20-x)` , over the interval `[-5,20` ] such that:
`f(20) - f(-5) = f'(c)(20 - (-5))`
You need to remember that `c in (-5,20)` and you need to evaluate `f'(x), ` then you need to substitute c for x in equation representing `f'(x) ` such that:
`f'(x) =...
(The entire section contains 167 words.)
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tagnaouti | Student
f '(c) =
(f (b) − f (a)) /
(b − a)
check Approved by eNotes Editorial
Student Answers