at 1 and a/b.) 6. Use the Mean Value Theorem to prove that Isin x- sin yl 1. [Hint: Use the fact that D In x 1/x for x > 0.] %3D 8. Letf : [a, b] → Rbe continuous on [a, b] and differentiable in (a,...

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at 1 and a/b.)<br>6. Use the Mean Value Theorem to prove that Isin x- sin yl < x- y| for all x, y in R.<br>7. Use the Mean Value Theorem to prove that (x 1)/x < In x <x-1 for x > 1. [Hint: Use the<br>fact that D In x 1/x for x > 0.]<br>%3D<br>8. Letf : [a, b] → Rbe continuous on [a, b] and differentiable in (a, b). Show that if lim f'(r)<br>

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Jun 04, 2022

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at 1 and a/b.) 6. Use the Mean Value Theorem to prove that Isin x- sin yl 1. [Hint: Use the fact that D In x 1/x for x > 0.] %3D 8. Letf : [a, b] → Rbe continuous on [a, b] and differentiable in (a,...

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