F-25 Let P3 have the inner product given by evaluation at -7, -1, 1, and 7....

   

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F-25 Let P3 have the inner product given by evaluation at -7, -1, 1, and 7. Let po (t) = 2, p (t) = 4t, and q(t) = 24 Notice that these polynomials form an orthogonal set with this inner product. Find the best approximation to p(t) = 2t by polynomials in Span {po.p,q). The best approximation to p(t) = 2t3 by polynomials in Span (po.p.q) is . F-25 Let P3 have the inner product given by evaluation at -7, -1, 1, and 7. Let po (t) = 2, p (t) = 4t, and q(t) = 24 Notice that these polynomials form an orthogonal set with this inner product. Find the best approximation to p(t) = 2t by polynomials in Span {po.p,q). The best approximation to p(t) = 2t3 by polynomials in Span (po.p.q) is .