a. Write the equation of the line that represents the linear approximation to the following functions at

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a. Write the equation of the line that represents the linear approximation to the following functions at the given point a.

b. Graph the function and the linear approximation at a.

c. Use the linear approximation to estimate the given function value.

d. Compute the percent error in your approximation, 100|approximation - exact| / |exact|, where the exact value is given by a calculator.

f(x) = 4√x; a = 81; f(85)

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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