Let f be continuous on [1, 5] and differentiable in (1, 5). If \[f(1)\]=?3 and \[f'(x)\ge 9\] for all \[x\in (1,\ 5)\], then [Kerala (Engg.) 2005]

Let f be continuous on [1, 5] and differentiable in (1, 5). If \[f(1)\

1.	Let f be continuous on [1, 5] and differentiable in (1, 5). If \[f(1)\]=?3 and \[f'(x)\ge 9\] for all \[x\in (1,\ 5)\], then [Kerala (Engg.) 2005]
A.	\[f(5)\ge 33\]
B.	\[f(5)\ge 36\]
C.	\[f(5)\le 36\]
D.	\[f(5)\ge 9\]
E.	\[f(5)\le 9\]
Answer» C. \[f(5)\le 36\]

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Let f be continuous on [1, 5] and differentiable in (1, 5). If \[f(1)\]=?3 and \[f'(x)\ge 9\] for all \[x\in (1,\ 5)\], then [Kerala (Engg.) 2005]

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