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1. The function $f(x)=x^3-6 x^2+a x+b$ satisfy the conditions of Rolle's theorem in $[1,3]$. The values of $a$ and $b$ are
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The correct answer is:
$11. -6$
$f(1)=f(3) \Rightarrow a+b-5=3 a+b-27 \Rightarrow a=11$, which is given in option (1) only.
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