(3) Determine whether the Mean Value theorem can be applied to f on the closed intervals [a,b]. If the MVT can be applied, find all values of cin the open interval (a,b) such that ƒ(b)- ƒ(a) f'(c) = f(x) = b-a x+1 X If MVT cannot be applied, explain why not. . [1,2].; [1,2]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(3) Determine whether the Mean Value theorem can be applied to f on the closed intervals [a,b].
If the MVT can be applied, find all values of cin the open interval (a,b) such that
ƒ'(c) =
f(b)-f(a)
b-a
*+1
f(x) =
1
If MVT cannot be applied, explain why not.
I
[-1,2].; [1,2]
Transcribed Image Text:(3) Determine whether the Mean Value theorem can be applied to f on the closed intervals [a,b]. If the MVT can be applied, find all values of cin the open interval (a,b) such that ƒ'(c) = f(b)-f(a) b-a *+1 f(x) = 1 If MVT cannot be applied, explain why not. I [-1,2].; [1,2]
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