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categoryرياضيات
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?
f(x) = x[1, 14]
No, f is continuous on [1, 14] but not differentiable on (1, 14).
No, f is not continuous on [1, 14].
• Yes, f is continuous on [1, 14] and differentiable on (1, 14).
There is not enough information to verify if this function satisfies the Mean Value Theorem.
Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.
If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE).
c=
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