hw4 - Homework 4 Math 104A Winter 2009 Due on Wednesday February 4th 2009 Section 3.1 1.a 3.a 5 17 22 and 26 In problem 26 check your result using any

hw4 - Homework 4 Math 104A Winter 2009 Due on Wednesday...

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Homework 4 – Math 104A, Winter 2009 Due on Wednesday, February 4th, 2009 Section 3.1: 1.a, 3.a, 5, 17, 22, and 26. In problem 26, check your result using any of the methods learnt in the previous chapter. Section 3.2: 4, and 10. Additional problem 1:Consider a functionf: [a, b]R. We want toapproximate the integralI=baf(x)dxIn order to do this, consider the pointsa, (a+b)/2, andb. Construct theNewton interpolation polynomial of degree 2,P2(x) and then integrate thepolynomial. This procedure will give you a formula of the form:I2=a0f(a) +a1fa+b2+a2f(b)(You have to determine the coefficientsa0, a1,anda2). Use this formula toapproximate the integral of
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