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Find c if LMVT is applicable for `f(x)=x(x-1)(x-2), x in [0, 1 /2]`

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Find c if LMVT is applicable for `f(x)=x(x-1)(x-2), x in [0, 1 /2]`
A. `1+(sqrt(21))/(6)`
B. `1-(sqrt(21))/(6)`
C. `1pm (sqrt(21))/(6)`
D. `1-(sqrt(7))/(2)`
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Correct Answer - B
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