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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) `(4,3sqrt(2))` (b) `(4,3sqrt(3))` (c) `(3,3sqrt(3))` (d) `(5,3sqrt(6))`

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