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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Domain
In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.
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Chapter 13, Problem 15P

Develop a program using a programming or macro language to implement Newton's method. The subroutine should have the following features:

• Iterate until the relative error falls below a stopping criterion or exceeds a maximum number of iterations.

• Returns both the optimal x and f ( x ) .

Test your program with the same problem as Example 13.3.

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Chapter 13 Solutions

Numerical Methods for Engineers

Ch. 13 - 13.1 Given the formula (a) Determine the...Ch. 13 - 13.2 Given (a) Plot the function. (b) Use...Ch. 13 - Prob. 3PCh. 13 - Repeat Prob. 13.3, except use parabolic...Ch. 13 - 13.5 Repeat Prob. 13.3 but use Newton’s method....Ch. 13 - Employ the following methods to find the maximum...Ch. 13 - 13.7 Consider the following function: Use...Ch. 13 - Employ the following methods to find the maximum...Ch. 13 - 13.9 Consider the following function: Perform...Ch. 13 - Consider the following function:...
Ch. 13 - 13.11 Determine the minimum of the function from...Ch. 13 - Develop a program using a programming or macro...Ch. 13 - Develop a program as described in Prob. 13.12, but...Ch. 13 - 13.14 Develop a program using a programming or...Ch. 13 - 13.15 Develop a program using a programming or...Ch. 13 - Pressure measurements are taken at certain points...Ch. 13 - 13.17 The trajectory of a ball can be computed...Ch. 13 - 13.18 The deflection of a uniform beam subject to...Ch. 13 - An object with a mass of 100 kg is projected...Ch. 13 - The normal distribution is a bell-shaped curve...Ch. 13 - An object can be projected upward at a specified...Ch. 13 - Use the golden-section search to determine the...
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