Posted: December 30th, 2021
.1.2 2. Since it is dif?cult to evaluate the integral / 812 d1: exactly, we will approximate it using Maclaurinopolynomials. (a) Determine P4(:1:), the 4th degree Maclaurin polynomial of the integrand 332. (b) Obtain an upper bound on the error in the integrand for :r: in the range0 S x S 1/2, when the integrand is approximated by P4 (:13). (c) Find an approximation to the original integral by integrating P4(:1:).((1) Obtain an upper bound on the error in the integration in (c).(e) Use MATLAB to verify your calculation in (a).
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