EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Textbook Question
Chapter 18, Problem 7P
Repeat Prob. 18.6 using Lagrange polynomials of order 1 through 3.
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4. Write the function
f(x)=2+
ANALYTIC FUNCTIONS
1
(z = 0)
Z.
in the form f(z) = u(r, 0) + iv(r, 0).
Ans. f(z) =
= (1 + ² )
cos+ir
i ( r — 1 )
sin 0.
r
CHAP. 2
Given the (3-2-1) Euler angle set (10,20,30) degrees, find the equivalent (3-1-3) Euler angles. All the following Euler angle sets are 3-2-1 Euler angles. The B frame relative to N is given through the 3-2-1 EAs (10,20,30) degrees, while R relative to N is given by the EAs (-5,5,5) degrees. What is the attitude of B relative to R in terms of the 3-2-1 EAs
3. Suppose that f(z) = x² − y² −2y+i (2x-2xy), where z = x+iy. Use the expressions
(see Sec. 6)
x =
z┼え
2
Z
-
Z
and
y =
2i
to write f(z) in terms of z, and simplify the result.
Ans. f(z)²+2iz.
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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