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Suppose that f is a function that has a continuous second derivative and that satisfies

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f(0) = 4, f(1) =3, f'(0) = 5, f'(1) = 7, f''(0) =8 \text{ and } f''(1) = 11.

Show that

\int_0^1f(x) f''(x)dx \leq1

asked Oct 3, 2015 in Calculus by w1002 (660 points)

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