Explanation Given information: Measurement of the side s of the carpet = 6 centimeters Formula used: The area of a square is, A = s 2 . Where, A is the area of the square. s is the side of the square. Calculation: To find the area of the square carpet with the side s = 6 centimeter , use the formula A ( s ) = s 2 . Substitute 6 for s in the formula, A ( s ) = s 2 and simplify. A ( 6 ) = 6 2 = 36 Therefore, the area of the square carpet for the side of 6 centimeter is 36 square centimeter . Differentiate the formula A ( s ) = s 2 . A ′ ( s ) = 2 s Substitute 6 for s in the expression, A ′ ( s ) = 2 s and simplify. A ′ ( s ) = 2 × 6 = 12 Consider the actual side of the carpet be 6 + Δ s . So, for the side 6 + Δ s the area of the carpet will be increased or decreased. Consider the change of area be Δ A . To find the value of Δ A , subtract A ( 6 ) from A ( 6 + Δ s )

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 4.1, Problem 38E

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The estimate of maximum error in the area of the carpet if the accurate measurement of the side is within 2 centimeters.

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Chapter 4.1, Problem 37E

Chapter 4.1, Problem 39E

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Chapter 4 Solutions

Calculus - Standalone book

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

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Prob. 18E Ch. 4.6 - Prob. 19E Ch. 4.6 - Prob. 20E Ch. 4.6 - Prob. 21E Ch. 4.6 - Prob. 22E Ch. 4.6 - Prob. 23E Ch. 4.6 - Prob. 24E Ch. 4.6 - Prob. 25E Ch. 4.6 - Prob. 26E Ch. 4.6 - Prob. 27E Ch. 4.6 - Prob. 28E Ch. 4.6 - Prob. 29E Ch. 4.6 - Prob. 30E Ch. 4.6 - Prob. 31E Ch. 4.6 - Prob. 32E Ch. 4.6 - Prob. 33E Ch. 4.6 - Prob. 34E Ch. 4.6 - Prob. 35E Ch. 4.6 - Prob. 36E Ch. 4.6 - Prob. 37E Ch. 4.6 - Prob. 38E Ch. 4.6 - Prob. 39E Ch. 4.6 - Prob. 40E Ch. 4.6 - Prob. 41E Ch. 4.6 - Prob. 42E Ch. 4.6 - Prob. 43E Ch. 4.6 - Prob. 44E Ch. 4.6 - Prob. 45E Ch. 4.6 - Prob. 46E Ch. 4.6 - Prob. 47E Ch. 4.6 - Prob. 48E Ch. 4.6 - Prob. 49E Ch. 4.6 - Prob. 50E Ch. 4.6 - Prob. 51E Ch. 4.6 - Prob. 52E Ch. 4.6 - Prob. 53E Ch. 4.6 - Prob. 54E Ch. 4.6 - Prob. 55E Ch. 4.6 - Prob. 56E Ch. 4.6 - Prob. 57E Ch. 4.6 - Prob. 58E Ch. 4.6 - Prob. 59E Ch. 4.6 - Prob. 60E Ch. 4.6 - Prob. 61E Ch. 4.6 - Prob. 62E Ch. 4.6 - Prob. 63E Ch. 4.6 - Prob. 64E Ch. 4.6 - Prob. 65E Ch. 4.6 - Prob. 66E Ch. 4.6 - Prob. 67E Ch. 4.6 - 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The estimate of maximum error in the area of the carpet if the accurate measurement of the side is within 2 centimeters .

Solution Summary: The author calculates the maximum error in the area of the carpet if the accurate measurement is within 2centimeters.

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To calculate:

The estimate of maximum error in the area of the carpet if the accurate measurement of the side is within 2 centimeters.

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Chapter 4 Solutions

The estimate of maximum error in the area of the carpet if the accurate measurement of the side is within 2 centimeters .

Solution Summary: The author calculates the maximum error in the area of the carpet if the accurate measurement is within 2centimeters.

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To calculate: The estimate of maximum error in the area of the carpet if the accurate measurement of the side is within 2 centimeters.

Want to see the full answer?

Chapter 4 Solutions

To calculate:

The estimate of maximum error in the area of the carpet if the accurate measurement of the side is within 2 centimeters.