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Solved: (a) Find the average rate of change of the area of a circle with respect to its

Single Variable Calculus: Early Transcendentals (Available 2010 Titles Enhanced Web Assign) | 6th Edition | ISBN: 9780495011699 | Authors: James Stewart ISBN: 9780495011699 306

Solution for problem 3.7.13 Chapter 3

Single Variable Calculus: Early Transcendentals (Available 2010 Titles Enhanced Web Assign) | 6th Edition

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Single Variable Calculus: Early Transcendentals (Available 2010 Titles Enhanced Web Assign) | 6th Edition | ISBN: 9780495011699 | Authors: James Stewart

Single Variable Calculus: Early Transcendentals (Available 2010 Titles Enhanced Web Assign) | 6th Edition

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Problem 3.7.13

(a) Find the average rate of change of the area of a circle with respect to its radius as changes from (i) 2 to 3 (ii) 2 to 2.5 (iii) 2 to 2.1 (b) Find the instantaneous rate of change when . (c) Show that the rate of change of the area of a circle with respect to its radius (at any ) is equal to the circumference of the circle. Try to explain geometrically why this is true by drawing a circle whose radius is increased by an amount . How can you approximate the resulting change in area if is small?

Step-by-Step Solution:
Step 1 of 3

Wesley Fowler ASTR Chapter 6 Nebular Theory The nebular theory claims that the existing solar system was formed by the collapse of a giant cloud of interstellar gas and dust. 1. A cloud of gas and dust (nebula) exists 2. The nebula is compressed (by gravity, shockwave) 3....

Step 2 of 3

Chapter 3, Problem 3.7.13 is Solved
Step 3 of 3

Textbook: Single Variable Calculus: Early Transcendentals (Available 2010 Titles Enhanced Web Assign)
Edition: 6
Author: James Stewart
ISBN: 9780495011699

Single Variable Calculus: Early Transcendentals (Available 2010 Titles Enhanced Web Assign) was written by and is associated to the ISBN: 9780495011699. The full step-by-step solution to problem: 3.7.13 from chapter: 3 was answered by , our top Calculus solution expert on 01/30/18, 05:03PM. Since the solution to 3.7.13 from 3 chapter was answered, more than 214 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals (Available 2010 Titles Enhanced Web Assign), edition: 6. The answer to “(a) Find the average rate of change of the area of a circle with respect to its radius as changes from (i) 2 to 3 (ii) 2 to 2.5 (iii) 2 to 2.1 (b) Find the instantaneous rate of change when . (c) Show that the rate of change of the area of a circle with respect to its radius (at any ) is equal to the circumference of the circle. Try to explain geometrically why this is true by drawing a circle whose radius is increased by an amount . How can you approximate the resulting change in area if is small?” is broken down into a number of easy to follow steps, and 103 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 11 chapters, and 4026 solutions.

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