EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 18, Problem 27P
The following is the built-in humps function that MATLAB uses to demonstrate some of its numerical capabilities:
The humps function exhibits both fl at and steep regions over a relatively short x range. Generate values of this function at intervals of 0.1 over the range from
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MATLAB
Create a script that will take a continuous function f(x) as input, plot the function on x
€ [-10,10] with step size of h = 0.01,, and will prompt the user with the
following options
●
'r+45' and 'r-45' to rotate the plot 45° counterclockwise and clockwise
respectively,
'j+45' and 'j-45' to shear the plot's 45ĵº to the right and to the left
respectively, and
• 'i+45' and 'i-45' to shear the plot's 457° upwards and downwards
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MATLAB
Create a script that will take a continuous function f(x) as input, plot the function on
x € [-10,10] with step size of h = 0.01, and will prompt the user with the following
options:
• 'r+45' and 'r-45' to rotate the plot 45° counterclockwise and clockwise
respectively,
●
's+45' and 's-45' to shear the plot's ĵ 45�� to the right and to the left
respectively, and
• 'k+45' and 'k-45' to shear the plot's ↑ 45° upwards and downwards
respectively.
The values of p and h which renders (makes) the following set of equations dynamically and statically
decoupled are, respectively.
k,+k2 5 p+4 x1
= 0,
X2
7 h+1
+
[7h+1 J+e
5 p+4 J+e
h= -0.214 and p = -1.76
h = -0.143 and p= -0.8
h = -0.281 and p= -1.2
h = -0.081 and p = -0.536
Chapter 18 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 18 - 18.1 Estimate the common logarithm of 10 using...Ch. 18 - 18.2 Fit a second-order Newton’s interpolating...Ch. 18 - 18.3 Fit a third-order Newton’s interpolating...Ch. 18 - Repeat Probs. 18.1 through 18.3 using the Lagrange...Ch. 18 - 18.5 Given these...Ch. 18 - 18.6 Given these data
x 1 2 3 5 7 8
...Ch. 18 - Repeat Prob. 18.6 using Lagrange polynomials of...Ch. 18 - 18.8 The following data come from a table that was...Ch. 18 - 18.9 Use Newton’s interpolating polynomial to...Ch. 18 - Use Newtons interpolating polynomial to determine...
Ch. 18 - 18.11 Employ inverse interpolation using a cubic...Ch. 18 - 18.12 Employ inverse interpolation to determine...Ch. 18 - 18.13 Develop quadratic splines for the first five...Ch. 18 - 18.14 Develop cubic splines for the data in Prob....Ch. 18 - Determine the coefficients of the parabola that...Ch. 18 - Determine the coefficients of the cubic equation...Ch. 18 - 18.17 Develop, debug, and test a program in either...Ch. 18 - 18.18 Test the program you developed in Prob....Ch. 18 - 18.19 Use the program you developed in Prob. 18.17...Ch. 18 - Use the program you developed in Prob. 18.17 to...Ch. 18 - Develop, debug, and test a program in either a...Ch. 18 - 18.22 A useful application of Lagrange...Ch. 18 - Develop, debug, and test a program in either a...Ch. 18 - Use the software developed in Prob. 18.23 to fit...Ch. 18 - Use the portion of the given steam table for...Ch. 18 - The following is the built-in humps function that...Ch. 18 - 18.28 The following data define the sea-level...Ch. 18 - 18.29 Generate eight equally-spaced points from...Ch. 18 - 18.30 Temperatures are measured at various points...
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