Numerical Methods For Engineers, 7 Ed
7th Edition
ISBN: 9789352602131
Author: Canale Chapra
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 13, Problem 9P
Consider the following function:
Perform 10 iterations of parabolic interpolation to locate the minimum. Select new points in the same fashion as in Example 13.2. Comment on the convergence of your results.
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Chapter 13 Solutions
Numerical Methods For Engineers, 7 Ed
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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- Calculs Insights πT | cos x |³ dx 59 2arrow_forward2. Consider the ODE u' = ƒ (u) = u² + r where r is a parameter that can take the values r = −1, −0.5, -0.1, 0.1. For each value of r: (a) Sketch ƒ(u) = u² + r and determine the equilibrium points. (b) Draw the phase line. (d) Determine the stability of the equilibrium points. (d) Plot the direction field and some sample solutions,i.e., u(t) (e) Describe how location of the equilibrium points and their stability change as you increase the parameter r. (f) Using the matlab program phaseline.m generate a solution for each value of r and the initial condition u(0) = 0.9. Print and turn in your result for r = −1. Do not forget to add a figure caption. (g) In the matlab program phaseline.m set the initial condition to u(0) = 1.1 and simulate the ode over the time interval t = [0, 10] for different values of r. What happens? Why? You do not need to turn in a plot for (g), just describe what happens.arrow_forwardTrue or False and whyarrow_forward
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