EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 14, Problem 4P
(a) Start with an initial guess of
(b) Construct a plot from the results of (a) showing the path of the search.
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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.
mathforadmi..2dff1dd723
PTU
Kadoorie sygini
1930
Technical
Department of Applied Mathematics
Second Semester 2020/2021
Math for Administration
Assignment 2
Question 1
For the function:
y = 0.01x- 0.001x²
Find the zeros, the vertex and the optimum
value (max. or min.)
Question 2
Suppose a company has fixed costs of $300
and variable
3
costs of x + 1460 dollars per unit,
4
where x is the
total number of units produced. Suppose
further that the
selling price of its product is 1500
X-
♡ lar
Fine break-even points.
init.
II
جامعة
Palestine
||
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...
Chapter 14 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 14 - 14.1 Find the directional derivative of
at in...Ch. 14 - Repeat Example 14.2 for the following function at...Ch. 14 - 14.3 Given
Construct and solve a system of...Ch. 14 - (a) Start with an initial guess of x=1 and y=1 and...Ch. 14 - 14.5 Find the gradient vector and Hessian matrix...Ch. 14 - Prob. 6PCh. 14 - Perform one iteration of the steepest ascent...Ch. 14 - Perform one iteration of the optimal gradient...Ch. 14 - Develop a program using a programming or macro...Ch. 14 - 14.10 The grid search is another brute force...
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