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Theory and ApplicationsA string lies along the circle x2 +

Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass ISBN: 9780321884077 57

Solution for problem 11AAE Chapter 16

Thomas' Calculus: Early Transcendentals | 13th Edition

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Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 11AAE

Theory and Applications

A string lies along the circle x2 + y2 = 4 from (2, 0) to (0, 2) in the first quadrant. The density of the string is

a. Partition the string into a finite number of subarcs to show that the work done by gravity to move the string straight down to the x-axis is given by

b. Find the total work done by evaluating the line integral in part (a).

c. Show that the total work done equals the work required to move the string’s center of mass straight down to the x-axis.

Step-by-Step Solution:
Step 1 of 3

Calculus notes for the week of 10/3/16 4.1 Maxima and Minima and 4.2 What Derivatives Tell Us 15 10 5 01 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 -5 -10 -15 f has a local maximum at c if f(c) > f(x) for all x sufficiently close to c. f has a local minimum at c if f(c) < f(x) for all x sufficiently close to c. We see that, if f is differentiable at a local...

Step 2 of 3

Chapter 16, Problem 11AAE is Solved
Step 3 of 3

Textbook: Thomas' Calculus: Early Transcendentals
Edition: 13
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
ISBN: 9780321884077

Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. Since the solution to 11AAE from 16 chapter was answered, more than 248 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 11AAE from chapter: 16 was answered by , our top Calculus solution expert on 08/01/17, 02:37PM. This full solution covers the following key subjects: string, work, done, axis, straight. This expansive textbook survival guide covers 138 chapters, and 9198 solutions. The answer to “Theory and ApplicationsA string lies along the circle x2 + y2 = 4 from (2, 0) to (0, 2) in the first quadrant. The density of the string is a. Partition the string into a finite number of subarcs to show that the work done by gravity to move the string straight down to the x-axis is given by b. Find the total work done by evaluating the line integral in part (a).c. Show that the total work done equals the work required to move the string’s center of mass straight down to the x-axis.” is broken down into a number of easy to follow steps, and 95 words. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13.

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