Numerical Methods
4th Edition
ISBN: 9780495114765
Author: J. Douglas Faires, BURDEN
Publisher: Cengage Learning
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Chapter 1.2, Problem 12E
a.
To determine
Using Tayler series to calculate the
b.
To determine
Calculate the error for Tayler series.
c.
To determine
Using Maclaurin series to calculate the integration of the given function.
d.
To determine
Calculate the error for Maclaurin series.
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Chapter 1 Solutions
Numerical Methods
Ch. 1.2 - Prob. 1ECh. 1.2 - Find intervals containing solutions to the...Ch. 1.2 - Prob. 3ECh. 1.2 - Find maxaxbf(x) for the following functions and...Ch. 1.2 - Let f(x)=x3. Find the second Taylor polynomial...Ch. 1.2 - Prob. 6ECh. 1.2 - Find the second Taylor polynomial P2(x) for the...Ch. 1.2 - Prob. 8ECh. 1.2 - Prob. 9ECh. 1.2 - Use a Taylor polynomial about /4 to approximate...
Ch. 1.2 - Prob. 11ECh. 1.2 - Prob. 12ECh. 1.2 - Prob. 13ECh. 1.2 - The nth Taylor polynomial for a function f at x0...Ch. 1.2 - Prob. 15ECh. 1.2 - Prob. 16ECh. 1.3 - Compute the absolute error and relative error in...Ch. 1.3 - Prob. 2ECh. 1.3 - Use three-digit rounding arithmetic to perform the...Ch. 1.3 - Prob. 4ECh. 1.3 - Prob. 5ECh. 1.3 - Prob. 6ECh. 1.3 - Prob. 7ECh. 1.3 - Prob. 8ECh. 1.3 - Prob. 9ECh. 1.3 - Prob. 10ECh. 1.3 - Prob. 11ECh. 1.3 - Prob. 12ECh. 1.3 - Prob. 13ECh. 1.4 - Prob. 1ECh. 1.4 - Prob. 2ECh. 1.4 - Prob. 3ECh. 1.4 - Prob. 4ECh. 1.4 - Prob. 5ECh. 1.4 - Prob. 6ECh. 1.4 - Use three-digit chopping arithmetic to compute the...Ch. 1.4 - Prob. 8ECh. 1.4 - Prob. 9ECh. 1.4 - Prob. 10ECh. 1.4 - Prob. 11ECh. 1.4 - Prob. 12ECh. 1.4 - Prob. 13E
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