That for any k , R k , 1 = 1 2 ( R k − 1 , 1 + h k − 1 ∑ i = 1 2 k − 2 f ( a + ( i − 1 2 ) h k − 1 ) ) using the result obtained in exercise 18.

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Answer 1

Question

Chapter 4.5, Problem 19ES

To determine

To show: That for any k, Rk,1=12(Rk−1,1+hk−1∑i=12k−2f(a+(i−12)hk−1)) using the result obtained in exercise 18.

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Answer 2

Question

Chapter 4.5, Problem 19ES

To determine

To show: That for any k, Rk,1=12(Rk−1,1+hk−1∑i=12k−2f(a+(i−12)hk−1)) using the result obtained in exercise 18.

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Answer 3

Question

Chapter 4.5, Problem 19ES

To determine

To show: That for any k, Rk,1=12(Rk−1,1+hk−1∑i=12k−2f(a+(i−12)hk−1)) using the result obtained in exercise 18.

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Answer 4

Question

Chapter 4.5, Problem 19ES

To determine

To show: That for any k, Rk,1=12(Rk−1,1+hk−1∑i=12k−2f(a+(i−12)hk−1)) using the result obtained in exercise 18.

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Answer 5

Chapter 4.5, Problem 19ES

To determine

To show: That for any k, Rk,1=12(Rk−1,1+hk−1∑i=12k−2f(a+(i−12)hk−1)) using the result obtained in exercise 18.

Answer 6

Chapter 4.5, Problem 19ES

To determine

To show: That for any k, Rk,1=12(Rk−1,1+hk−1∑i=12k−2f(a+(i−12)hk−1)) using the result obtained in exercise 18.

Answer 7

Chapter 4.5, Problem 19ES

To determine

To show: That for any k, Rk,1=12(Rk−1,1+hk−1∑i=12k−2f(a+(i−12)hk−1)) using the result obtained in exercise 18.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 4.1 - Use the forward-difference formulas and...Ch. 4.1 - The data in Exercise 1 were taken from the...Ch. 4.1 - Use the most accurate three-point formula to...Ch. 4.1 - Use the most accurate three-point formula to...Ch. 4.1 - The data in Exercise 5 were taken from the...Ch. 4.1 - The data in Exercise 6 were taken from the...Ch. 4.1 - Prob. 9ES Ch. 4.1 - Use the formulas given in this section to...Ch. 4.1 - The data in Exercise 9 were taken from the...Ch. 4.1 - Prob. 12ES

That for any k , R k , 1 = 1 2 ( R k − 1 , 1 + h k − 1 ∑ i = 1 2 k − 2 f ( a + ( i − 1 2 ) h k − 1 ) ) using the result obtained in exercise 18.

Solution Summary: The author explains how to obtain the value of R_k,1 using the result obtained in exercise 18.

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To show: That for any k, Rk,1=12(Rk−1,1+hk−1∑i=12k−2f(a+(i−12)hk−1)) using the result obtained in exercise 18.

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Chapter 4 Solutions