Explanation Given information: It is given that, f ( x ) = cos x ; T 2 ( x ) = 1 − 1 2 x 2 Calculation : Since, according to question the value of error must be within 0.1. Therefore, | y − T 2 ( x ) | ≤ 0.1 gives, y − 0.1 < T 2 ( x ) < y + 0

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ISBN: 9781305177291

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Chapter 3.8, Problem 40E

To determine

To find: The value of x , for which the quadratic approximation f(x)=T2(x) , where T2(x)=1−12x2 is accurate to 0.1.

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Chapter 3.8, Problem 39E

Chapter 3.8, Problem 41E

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Biocalculus: Calculus For Life Sciences

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The value of x , for which the quadratic approximation f ( x ) = T 2 ( x ) , where T 2 ( x ) = 1 − 1 2 x 2 is accurate to 0.1.

Solution Summary: The author explains the quadratic approximation of the value of x, which is accurate to 0.1.

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To find: The value of x , for which the quadratic approximation f(x)=T2(x) , where T2(x)=1−12x2 is accurate to 0.1.

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Chapter 3 Solutions