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1. (a) Find the best linear approximation, L(x), to f(x) = eª near x = 0. (b) What is the sign of the error, E(x) = f(x) – L(x) for x near 0? (c) Find the true value of the function at x = 1. WVhat is the error? (Give decimal answers.) Illustrate with a graph. (d) Before E(1), and why. you do any calculations, explain which you expect to be larger, E(0.1) or (e) Find E(0.1).

1. (a) Find the best linear approximation, L(x), to f(x) = eª near x = 0. (b) What is the sign of the error, E(x) = f(x) – L(x) for x near 0? (c) Find the true value of the function at x = 1. WVhat is the error? (Give decimal answers.) Illustrate with a graph. (d) Before E(1), and why. you do any calculations, explain which you expect to be larger, E(0.1) or (e) Find E(0.1).

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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1. (a) Find the best linear approximation, L(x), to f(x) = e near x = 0. (b) What is the sign of the error, E(x) = f(x) – L(x) for x near 0? (c) Find the true value of the function at x = 1. What is the error? (Give decimal answers.) Illustrate with a graph. (d) Before you do any calculations, explain which you expect to be larger, E(0.1) or E(1), and why. (e) Find E(0.1).
Transcribed Image Text:1. (a) Find the best linear approximation, L(x), to f(x) = e near x = 0. (b) What is the sign of the error, E(x) = f(x) – L(x) for x near 0? (c) Find the true value of the function at x = 1. What is the error? (Give decimal answers.) Illustrate with a graph. (d) Before you do any calculations, explain which you expect to be larger, E(0.1) or E(1), and why. (e) Find E(0.1).
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