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 7, Problem 22P
Develop an M-fi le function for the Newton-Raphson method based on Fig. 6.4 and Sec. 6.2.3. Along with the initial guess, pass the function and its derivative as arguments. Test it by duplicating the computation from Example 6.3.
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16.4. Show that if z' is the principal value, then
1+e**
z'dz =
(1-i),
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where is the upper semicircle from z = 1 to z = -1.
L
16.8. For each of the following functions f, describe the domain of ana-
lyticity and apply the Cauchy-Goursat Theorem to show that f(z)dz =
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(a). f(z) =
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(b). f(z) = ze*.
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Chapter 7 Solutions
Numerical Methods for Engineers
Ch. 7 - Divide a polynomial f(x)x47.5x3+14.5x2+3x20 by the...Ch. 7 - Divide a polynomial f(x)=x55x4+x36x27x+10 by the...Ch. 7 - Prob. 3PCh. 7 - 7.4 Use Müller’s method or MATLAB to determine the...Ch. 7 - 7.6 Develop a program to implement Muller’s...Ch. 7 - 7.7 Use the program developed in Prob. 7.6 to...Ch. 7 - Develop a program to implement Bairstows method....Ch. 7 - Use the program developed in Prob. 7.8 to...Ch. 7 - Determine the real root of x3.5=80 with Excel,...Ch. 7 - 7.11 The velocity of a falling parachutist is...
Ch. 7 - Determine the roots of the simultaneous nonlinear...Ch. 7 - 7.13 Determine the roots of the simultaneous...Ch. 7 - 7.14 Perform the identical MATLAB operations as...Ch. 7 - 7.15 Use MATLAB or Mathcad to determine the...Ch. 7 - A two-dimensional circular cylinder is placed in a...Ch. 7 - 7.17 When trying to find the acidity of a...Ch. 7 - Consider the following system with three unknowns...Ch. 7 - 7.19 In control systems analysis, transfer...Ch. 7 - Develop an M-file function for bisection in a...Ch. 7 - 7.21 Develop an M-fi le function for the...Ch. 7 - 7.22 Develop an M-fi le function for the...Ch. 7 - Develop an M-fi le function for the secant method...Ch. 7 - Develop an M-file function for the modified secant...
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