In each part, determine whether all of the hypotheses ofRolles Theorem are satisfied on
Chapter 4, Problem 75(choose chapter or problem)
In each part, determine whether all of the hypotheses of Rolle's Theorem are satisfied on the stated interval. If not, state which hypotheses fail; if so, find all values of \(c\) guaranteed in the conclusion of the theorem.
(a) \(f(x)=\sqrt{4-x^{2}}\) on \([-2,2]\)
(b) \(f(x)=x^{2 / 3}-1\) on \([-1,1]\)
(c) \(f(x)=\sin \left(x^{2}\right)\) on \([0, \sqrt{\pi}]\)
Equation Transcription:
on
on
on
Text Transcription:
c
f(x)=sqrt 4-x^2 on [-2,2]
f(x)=x^2/3-1 on [-1,1]
f(x)=sin (x^2) on [0,sqrt pi]
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