a. Determine whether the Mean Value Theorem applies to the following functions on the given interval [a,

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a. Determine whether the Mean Value Theorem applies to the following functions on the given interval [a, b].

b. If so, find the point(s) that are guaranteed to exist by the Mean Value Theorem.

c. For those cases in which the Mean Value Theorem applies, make a sketch of the function and the line that passes through (a, f(a)) and (b, f(b)). Mark the points P at which the slope of the function equals the slope of the secant line. Then sketch the tangent line at P.

f(x) = x + 1/x; [1, 3]

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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