Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. 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) If the Mean Value Theorem b - a cannot be applied, explain why not. f(x) = x1/2, [0, 1] Can the Mean Value Theorem be applied? (Select all that apply.) O Yes. O No, f is not continuous on [a, b]. No, f is not differentiable on (a, b). O None of the above. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f (c) = (6) - F (a). (Enter your answers as a comma- b - a separated list. If the Mean Value Theorem cannot be applied, enter NA.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine whether the Mean Value Theorem can be applied to f on the closed
interval [a, b]. If the Mean Value Theorem can be applied, find all values of c in
f (b) – f (a) If the Mean Value Theorem
the open interval (a, b) such that f (c) =
b — а
cannot be applied, explain why not.
f(x) = x/2, [o, 1]
Can the Mean Value Theorem be applied? (Select all that apply.)
O Yes.
O No, f is not continuous on [a, b].
O No, f is not differentiable on (a, b).
None of the above.
If the Mean Value Theorem can be applied, find all values of c in the open
interval (a, b) such that f (c) = " (b) - F (a) . (Enter your answers as a comma-
b — а
separated list. If the Mean Value Theorem cannot be applied, enter NA.)
C =
Transcribed Image Text:Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied, find all values of c in f (b) – f (a) If the Mean Value Theorem the open interval (a, b) such that f (c) = b — а cannot be applied, explain why not. f(x) = x/2, [o, 1] Can the Mean Value Theorem be applied? (Select all that apply.) O Yes. O No, f is not continuous on [a, b]. O No, f is not differentiable on (a, b). None of the above. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f (c) = " (b) - F (a) . (Enter your answers as a comma- b — а separated list. If the Mean Value Theorem cannot be applied, enter NA.) C =
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