Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 21, Problem 23P

Determine the distance traveled for the following data:

t, min 1 2 3.25 4.5 6 7 8 9 9.5 10
v, m/s 5 6 5.5 7 8.5 8 6 7 7 5

(a) Use the trapezoidal rule,

(b) The best combination of the trapezoidal and Simpson's rules, and

(c) Analytically integrating second-and third-order polynomials determined by regression.

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Determine the distance traveled for the following data: 1, min v, m/s 1 5 26 6 3.25 5.5 4.5 6 47 7 7 78 8.5 8 8 6 9 7 (a) Use the trapezoidal rule, (b) the best combination of the trapezoidal and Simpson's rules, and 9.5 7 10 5 (c) analytically integrating second-and third-order polynomials determined by regression.

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