3. Consider the function f(x) (a) Find the quadratic Taylor approximation fr(x) 2 co + c1x + c2x². Calculate the Ci to four decimal places. (b) Find the cubic Legendre approximation fL(x) ~ ao + a1x + a2x². Calculate the a; to four decimal places. If the two approximations differ greatly, something is probably wrong. You may want to consult section 4 in the pdf I sent you on orthogonal polynomials. V4x + 5 on the interval [-1.1].

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