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If m is the minimum value of k for which...

If m is the minimum value of k for which the function `f(x)=xsqrt(kx-x^(2))` is increasing in the interval [0,3] and M is the maximum value of f in the inverval [0,3] when k=m, then the ordered pair (m,M) is equal to

A

`(4, 3sqrt2)`

B

`(4, 3sqrt(3))`

C

`(3, 3sqrt3)`

D

`(5, 3sqrt6)`

Text Solution

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The correct Answer is:
B
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