Mathematics, 27.07.2019 06:20, shelbylynn17
Suppose an integral of the form $\int_a^bf(x)dx$ is approximated using one of the following methods. for each method, find the largest value of n such that the approximation will be perfect for all polynomials f(x) of degree $\leq$n .
a) the trapezoid rule
b) simpson's rule
c) guass-legendre quadrature using 3 points (or nodes)
Answers: 1
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Mathematics, 21.06.2019 14:50, gshreya2005
(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos Ο 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos Ο 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.
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Suppose an integral of the form $\int_a^bf(x)dx$ is approximated using one of the following methods....
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