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Let {f}{[{0},{1}]}{R} (the set of all real numbers be a functi

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Let $f [0, 1] \to R$ (the set of all real numbers be a function.Suppose the function f is twice differentiable, $f (0) = f (1) = 0$ ,and satisfies $f^{'} (x) - 2 f^{'} (x) + f (x) \leq e^{x}, x \in [0, 1]$ .Which of the following is true for $0 < x < 1 ?$

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Elizabeth Discussed

Let

f [0, 1] \to R

(the set of all real numbers be a function.Suppose the function f is twice differentiable,

f (0) = f (1) = 0

,and satisfies

f^{'} (x) - 2 f^{'} (x) + f (x) \leq e^{x}, x \in [0, 1]

.Which of the following is true for

0 < x < 1 ?

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Question Text	Let $f [0, 1] \to R$ (the set of all real numbers be a function.Suppose the function f is twice differentiable, $f (0) = f (1) = 0$ ,and satisfies $f^{'} (x) - 2 f^{'} (x) + f (x) \leq e^{x}, x \in [0, 1]$ .Which of the following is true for $0 < x < 1 ?$
Answer Type	Video solution: 1
Upvotes	150