EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Textbook Question
Chapter 13, Problem 4P
Repeat Prob. 13.3, except use parabolic interpolation in the same fashion as Example 13.2. Employ initial guesses of
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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.
6 108
polynomial is used to approximate v8, the answer is:
dy
13.
of the parametric equations x:
2-3t
3+2t
and y =-
is
dx
Use the following information for Questions 14 and 15:
1+t
1+t
Using the Newton-Raphson method to determine the critical co-ordinate of the graph
y=f(x)=(x)*an (*) (in words x to the power of tan (x)), you will be required to
determine f'(x)
14.
The expression for f'(x) is:
The following tools were required in determining an expression for f'(x):
Application of the natural logarithm
15.
I.
II.
The product rule
III.
Implicit differentiation
33.2
solve using MATLAB. do not use syms.
Chapter 13 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
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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