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Question

Mathematics Question on Mean Value Theorem

The value of C in (0, 2) satisfying the mean value theorem for the function f(x)=x(x−1)2,x∈[0,2]f(x)=x(x-1)^2, x∈[0,2] is equal to

A

34\frac{3}{4}

B

43\frac{4}{3}

C

13\frac{1}{3}

D

23\frac{2}{3}

Answer

43\frac{4}{3}

Explanation

Solution

The correct answer is Option (B) : 43\frac{4}{3}