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Chapter 12: Q 7-5P (page 562)
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To show .
Determine the solution of the differential equations.
(a)
(b)
Find the best (in the least squares sense) second-degree polynomial approximation to each of the given functions over the interval -1<x<1.
肠辞蝉蟺虫
To study the approximations in the table, a computer plot on the same axes the given function together with its small x approximation and its asymptotic approximation. Use an interval large enough to show the asymptotic approximation agrees with the function for large x . If the small x approximation is not clear, plot it alone with the function over a small interval .
Substitute the Pl(x), you found in Problems 4.3 or 5.3 into equation (10.6)to find Plmthen let x=cos胃to evaluate:
P41(肠辞蝉胃)
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