a. Answer The rate of change is d x x ≤ 0.01. Explanation Given, d S S = 12 x d x 6 x 2 Calculation: From the given, d S S = 12 x d x 6 x 2 d S S = 12 x d x 6 x 2 = 2 d x x ≤ 0.02 d x x ≤ 0.01 Thus the rate of change is d x x ≤ 0.01. b. To determine To find the error in the volume. Answer The error in the volume is at most 3%. Explanation Given, d S S = 12 x d x 6 x 2 Calculation: Need to measure the edge with accuracy of 99% to ensure the error in the calculated surface area is at most 2%. Thus the error in the volume is at most 3%.

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

4th Edition

ISBN: 9780133178579

Author: Ross L. Finney

Publisher: PEARSON

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Question

Chapter 5, Problem 66RE

To determine

To find the rate of change.

Expert Solution

Answer to Problem 66RE

The rate of change is dxx≤0.01.

Explanation of Solution

Given, dSS=12xdx6x2

Calculation:

From the given, dSS=12xdx6x2

dSS=12xdx6x2 =2dxx ≤0.02

dxx≤0.01

Thus the rate of change is dxx≤0.01.

To determine

To find the error in the volume.

Expert Solution

Answer to Problem 66RE

The error in the volume is at most 3%.

Explanation of Solution

Given, dSS=12xdx6x2

Calculation:

Need to measure the edge with accuracy of 99% to ensure the error in the calculated surface area is at most 2%.

Thus the error in the volume is at most 3%.

Chapter 5, Problem 65RE

Chapter 5, Problem 67RE

Chapter 5 Solutions

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

Ch. 5.1 - Prob. 1QR Ch. 5.1 - Prob. 2QR Ch. 5.1 - Prob. 3QR Ch. 5.1 - Prob. 4QR Ch. 5.1 - Prob. 5QR Ch. 5.1 - Prob. 6QR Ch. 5.1 - Prob. 7QR Ch. 5.1 - Prob. 8QR Ch. 5.1 - Prob. 9QR Ch. 5.1 - Prob. 10QR

Ch. 5.1 - Prob. 11QR Ch. 5.1 - Prob. 12QR Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - Prob. 10E Ch. 5.1 - Prob. 11E Ch. 5.1 - Prob. 12E Ch. 5.1 - Prob. 13E Ch. 5.1 - Prob. 14E Ch. 5.1 - Prob. 15E Ch. 5.1 - Prob. 16E Ch. 5.1 - Prob. 17E Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.1 - Prob. 37E Ch. 5.1 - Prob. 38E Ch. 5.1 - Prob. 39E Ch. 5.1 - Prob. 40E Ch. 5.1 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E Ch. 5.1 - Prob. 44E Ch. 5.1 - Prob. 45E Ch. 5.1 - Prob. 46E Ch. 5.1 - Prob. 47E Ch. 5.1 - Prob. 48E Ch. 5.1 - 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