4. This problem considers y = In r. (a) Find approximations to In(1.1) and In(0.9) using a first degree Taylor Polynomial. (b) Use a calculator to decide if these approximations are too high or too low. (c) Sketch the graph of y = lIn r and the tangent line at r = 1. Can you explain your answer to the previous part based on your picture?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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4. This problem considers y= In r.
(a) Find approximations to In(1.1) and In(0.9) using a first degree Taylor Polynomial.
(b) Use a calculator to decide if these approximations are too high or too low.
(c) Sketch the graph of y = lIn x and the tangent line at r =1. Can you explain your
answer to the previous part based on your picture?
%3D
Transcribed Image Text:4. This problem considers y= In r. (a) Find approximations to In(1.1) and In(0.9) using a first degree Taylor Polynomial. (b) Use a calculator to decide if these approximations are too high or too low. (c) Sketch the graph of y = lIn x and the tangent line at r =1. Can you explain your answer to the previous part based on your picture? %3D
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