Explanation Given: The function is 1 ( 10.03 ) 2 . Formula used: The formula of linearization L ( x ) , centered at x = a is: L ( x ) = f ′ ( a ) ( x − a ) + f ( a ) Calculation: The function is 1 ( 10.03 ) 2 . We can rewrite it as: 1 ( 10.03 ) 2 = 1 ( 10 + 0.03 ) 2 Let the function f ( x ) = 1 x 2 . Differentiate the function with respect to x . f ′ ( x ) = − 2 x 3 Find the linearization at a = 10 . L ( x ) = f ′ ( a ) ( x − a ) + f ( a ) Substitute 10 for a in the above formula

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 4.1, Problem 57E

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Find the linearization. Also, find the percentage error.

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Chapter 4.1, Problem 56E

Chapter 4.1, Problem 58E

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Chapter 4 Solutions

CALCULUS (CLOTH)

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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Find the linearization. Also, find the percentage error.

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Chapter 4 Solutions