Find the equation of the tangent line to

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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3. In this problem, you will use a linear approximation to approximate the value of (1.1)4/3.
(a) What function do you want to approximate here, and at what value of r?
f(x) =
at r =
(b) What's a number close to a where you know the value of this function? This number should be
your "anchor point" a.
(c) Find the equation of the tangent line to f(x) at r= a.
(d) Plug the value of z from part (a) into your equation for the tangent line. This is the approximate
value of (1.1)4/3.
(e) All of the above could (in theory) be done without a calculator. Now use a calculator to compute
the actual value of (1.1)4/3. What is the error? What is the percent error?
Transcribed Image Text:3. In this problem, you will use a linear approximation to approximate the value of (1.1)4/3. (a) What function do you want to approximate here, and at what value of r? f(x) = at r = (b) What's a number close to a where you know the value of this function? This number should be your "anchor point" a. (c) Find the equation of the tangent line to f(x) at r= a. (d) Plug the value of z from part (a) into your equation for the tangent line. This is the approximate value of (1.1)4/3. (e) All of the above could (in theory) be done without a calculator. Now use a calculator to compute the actual value of (1.1)4/3. What is the error? What is the percent error?
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