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Find the equation of the tangent line to

Find the equation of the tangent line to

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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