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Get solution: The resistivity of a conducting wire is the reciprocal of the conductivity

Single Variable Calculus: Early Transcendentals | 8th Edition | ISBN: 9781305270336 | Authors: James Stewart ISBN: 9781305270336 484

Solution for problem 32 Chapter 11.11

Single Variable Calculus: Early Transcendentals | 8th Edition

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Single Variable Calculus: Early Transcendentals | 8th Edition | ISBN: 9781305270336 | Authors: James Stewart

Single Variable Calculus: Early Transcendentals | 8th Edition

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Problem 32

The resistivity of a conducting wire is the reciprocal of the conductivity and is measured in units of ohm-meters (V-m). The resistivity of a given metal depends on the temperature according to the equation std 20 e st220d where t is the temperature in C. There are tables that list the values of (called the temperature coefficient) and 20 (the resistivity at 20C) for various metals. Except at very low temperatures, the resistivity varies almost linearly with temperature and so it is common to approximate the expression for std by its first- or second-degree Taylor polynomial at t 20. (a) Find expressions for these linear and quadratic approximations. (b) For copper, the tables give 0.0039yC and 20 1.7 3 1028 V-m. Graph the resistivity of copper and the linear and quadratic approximations for 2250C < t < 1000C. (c) For what values of t does the linear approximation agree with the exponential expression to within one percent?

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Chapter 11.11, Problem 32 is Solved
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Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781305270336

Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. The full step-by-step solution to problem: 32 from chapter: 11.11 was answered by , our top Calculus solution expert on 03/19/18, 03:29PM. Since the solution to 32 from 11.11 chapter was answered, more than 247 students have viewed the full step-by-step answer. The answer to “The resistivity of a conducting wire is the reciprocal of the conductivity and is measured in units of ohm-meters (V-m). The resistivity of a given metal depends on the temperature according to the equation std 20 e st220d where t is the temperature in C. There are tables that list the values of (called the temperature coefficient) and 20 (the resistivity at 20C) for various metals. Except at very low temperatures, the resistivity varies almost linearly with temperature and so it is common to approximate the expression for std by its first- or second-degree Taylor polynomial at t 20. (a) Find expressions for these linear and quadratic approximations. (b) For copper, the tables give 0.0039yC and 20 1.7 3 1028 V-m. Graph the resistivity of copper and the linear and quadratic approximations for 2250C < t < 1000C. (c) For what values of t does the linear approximation agree with the exponential expression to within one percent?” is broken down into a number of easy to follow steps, and 157 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 95 chapters, and 5427 solutions.

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