a. Explanation Formula used: “ Simpson’s Rule Suppose f is defined and integrable on [ a , b ] and n ≥ 2 is an even integer. The Simpson’s Rule approximation to ∫ a b f ( x ) d x using n equally spaced subintervals on [ a , b ] is S ( n ) = ( f ( x 0 ) + 4 f ( x 1 ) + 2 f ( x 2 ) + 4 f ( x 3 ) + ... + 4 f ( x n − 1 ) + f ( x n ) ) Δ x 3 , where n is an even integer, Δ x = ( b − a ) n and x k = a + k Δ x , for k = 0 , 1 , ... , n .” Calculation: For n = 6, Compute the value of Δ x b. To determine To find: The approximation of the amount of oil imported between 1940 and 2000 by the use of numerical integration.

Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition)

3rd Edition

ISBN: 9780134996103

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

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Chapter 8.8, Problem 65E

To determine

To find: The approximation of the amount of oil produced between 1940 and 2000 by the use of numerical integration.

To determine

To find: The approximation of the amount of oil imported between 1940 and 2000 by the use of numerical integration.

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Chapter 8.8, Problem 64E

Chapter 8.8, Problem 66E

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Chapter 8 Solutions

Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition)

Ch. 8.1 - What change of variable would you use for the...Ch. 8.1 - Prob. 2QC Ch. 8.1 - Prob. 3QC Ch. 8.1 - Prob. 4QC Ch. 8.1 - What change of variables would you use for the...Ch. 8.1 - Prob. 2E Ch. 8.1 - What trigonometric identity is useful in...Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E

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Solution Summary: The author explains the Simpson's Rule approximation of the amount of oil produced between 1940 and 2000 using numerical integration.