Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 5, Problem 21P
Integrate the algorithm outlined in Fig. 5.10 into a complete, user-friendly bisection subprogram. Among other things:
(a) Place documentation statements throughout the subprogram to identify what each section is intended to accomplish.
(b) Label the input and output.
(c) Add an answer check that substitutes the root estimate into the original function to verify whether the final result is close to zero.
(d) Test the subprogram by duplicating the computations from Examples 5.3 and 5.4.
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Lemma:-
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Chapter 5 Solutions
Numerical Methods for Engineers
Ch. 5 - 5.1 Determine the real roots...Ch. 5 - 5.2 Determine the real root of:
(a) Graphically....Ch. 5 - 5.3 Determine the real root of:
(a)...Ch. 5 - Determine the roots of f(x)=1221x+18x22.75x3...Ch. 5 - Locate the first nontrivial root of sin x=x2wherex...Ch. 5 - 5.6 Determine the positive real root of (a)...Ch. 5 - 5.7 Determine the real root of:...Ch. 5 - 5.8 Find the positive square root of 18 using the...Ch. 5 - 5.9 Find the smallest positive root of the...Ch. 5 - 5.10 Find the positive real root of using the...
Ch. 5 - 5.11 Determine the real root of: (a) analytically...Ch. 5 - 5.12 Given
Use bisection to determine the...Ch. 5 - 5.13 The velocity v of a falling parachutist is...Ch. 5 - 5.14 Use bisection to determine the drag...Ch. 5 - As depicted in Fig. P5.15, the velocity of water,...Ch. 5 - 5.16 Water is flowing in a trapezoidal channel at...Ch. 5 - 5.17 You are designing a spherical tank (Fig....Ch. 5 - The saturation concentration of dissolved oxygen...Ch. 5 - 5.19 According to Archimedes principle, the...Ch. 5 - 5.20 Perform the same computation as in Prob....Ch. 5 - 5.21 Integrate the algorithm outlined in Fig. 5.10...Ch. 5 - Develop a subprogram for the bisection method that...Ch. 5 - 5.23 Develop a user-friendly program for the...Ch. 5 - Develop a subprogram for the false-position method...Ch. 5 - 5.25 Develop a user-friendly subprogram for the...Ch. 5 - 5.26 Develop a function for bisection in a similar...
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