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It is given that for the function f(x...

It is given that for the function `f(x)=x^3-6x^2+a x+b` on `[1,\ 3]` , Rolles theorem holds with `c=2+1/(sqrt(3))` . Find the values of `a` and `b` , if `f(1)=f(3)=0` .

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