(a) Find the equation of the tangent line to y = ln x at x = 1....

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(a) Find the equation of the tangent line to y = ln x at x = 1.
(b) Use it to calculate approximate values for ln(1.1) and ln(2).
(c) Using a graph, explain whether the approximate values are smaller or larger than the true values. Would the same result have held if you had used the tangent line to estimate ln(0.9) and ln(0.5)? Why?

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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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Question Posted: Apr 12, 2023 04:52 AM

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(a) Find the equation of the tangent line to y = ln x at x = 1....

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a For y ln x we have y 1x so the slope of the tangent line is f1 ...View the full answer

Applied Calculus

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