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Math 128A: Homework 5 Solutions
1 and x 1 such that the quadrature formula Z 3 0 f(x) dx= c 0f(0) + c 1f(x 1) is exact for polynomials of as high a degree as possible. As we have three degrees of freedom (i.e., we can choose three parameters for the rule), we would like the integration rule to be exact for f(x) = 1;x;x2. This yields the equations Z 3 0 1 dx= 3 = c 0 + c 1 (1 ...
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