Rolle's theorem

Calculus Level 3

Determine if all of the hypotheses of Rolle's theorem are satisfied on the stated interval

i) f(x) = (4-x^2)^0.5 on [-2, 2]

ii)f(x) = x^(2/3) - 1 on [-1, 1]

iii) f(x) = sin(x^2) on [0, (pi)^0.5]

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