EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 13, Problem 3P
To determine

To calculate: The value of x that maximizes the function f(x)=1.5x62x4+12x with the help of golden-section search, take the initial guesses of xi=0 and xu=2 and perform 3 iterations.

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4. Using the method of Least Squares, determine to 6-decimal place the necessary values of the coefficient C1 and C2 in the equation from the given data points. 1 y = C, + C2x A C 2.07 8.60 14.42 15.8 Where: ABCDEF is your student number. Example, if your student number is 484321. A = 4 B = 8 C = 4 D = 3 5. Using the same data points given in problem 4, solve for the Newton's Interpolating Polynomials.
Consider the function p(x) = x² - 4x³+3x²+x-1. Use Newton-Raphson's method with initial guess of 3. What's the updated value of the root at the end of the second iteration? Type your answer...
19. The surface of a circular dartboard has a small center circle called the bull's eye and 20 pie-shaped regions numbered from 1-20. Each of the pie-shaped regions is further divided into three parts such that a person throwing a dart that lands on a specified number scores the value of the number, double the number, or triple the number, depending on which of the three parts the dart falls. If a contestant hits the bull's eye with a probability of 0.01, hits a double with a probability of 0.10, hits a triple with a probability of 0.05, and misses the dart board with a probability of 0.02, what is the probability that 7 throws will result in no bulls eyes, no triples, a double twice, and a complete miss once?
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