A bound for the maximum error when the polynomial P 2 ( x ) = 1 − 1 2 x 2 is to be used to approximate f ( x ) = cos x in [ − 1 2 , 1 2 ] .

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Answer 1

Question

Chapter 1.2, Problem 13E

To determine

To find: A bound for the maximum error when the polynomial P2(x)=1−12x2 is to be used to approximate f(x)=cosx in [−12,12] .

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Answer 2

Question

Chapter 1.2, Problem 13E

To determine

To find: A bound for the maximum error when the polynomial P2(x)=1−12x2 is to be used to approximate f(x)=cosx in [−12,12] .

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Answer 3

Question

Chapter 1.2, Problem 13E

To determine

To find: A bound for the maximum error when the polynomial P2(x)=1−12x2 is to be used to approximate f(x)=cosx in [−12,12] .

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Answer 4

Question

Chapter 1.2, Problem 13E

To determine

To find: A bound for the maximum error when the polynomial P2(x)=1−12x2 is to be used to approximate f(x)=cosx in [−12,12] .

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Answer 5

Chapter 1.2, Problem 13E

To determine

To find: A bound for the maximum error when the polynomial P2(x)=1−12x2 is to be used to approximate f(x)=cosx in [−12,12] .

Answer 6

Chapter 1.2, Problem 13E

To determine

To find: A bound for the maximum error when the polynomial P2(x)=1−12x2 is to be used to approximate f(x)=cosx in [−12,12] .

Answer 7

Chapter 1.2, Problem 13E

To determine

To find: A bound for the maximum error when the polynomial P2(x)=1−12x2 is to be used to approximate f(x)=cosx in [−12,12] .

Answer 8

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Answer 9

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Answer 10

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Answer 11

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A bound for the maximum error when the polynomial P 2 ( x ) = 1 − 1 2 x 2 is to be used to approximate f ( x ) = cos x in [ − 1 2 , 1 2 ] .

Solution Summary: The author explains the Taylor's Theorem, where the polynomial P_2(x)=1-

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To find: A bound for the maximum error when the polynomial P2(x)=1−12x2 is to be used to approximate f(x)=cosx in [−12,12] .

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Chapter 1 Solutions