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Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then...

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.)

f(x) = cos(2x),    [π/8, 7π/8]

(a) Graph the function

f(x) = x + 7/x

and the secant line that passes through the points (1, 8) and (14, 14.5) in the viewing rectangle [0, 16] by [0, 16].


(b) Find the number c that satisfies the conclusion of the Mean Value Theorem for this function f and the interval [1, 14].
c =

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Expert Solution

milcah answered 2 years ago
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