Notice that these polynomials Let P, have the inner product given by evaluation at-3,-1, 1, and 3. Let p 1, P ()4t, and ot) fom an orthogonal set with this inner product Find the best approximation to p(t) = 3 by polynomials in Span (pPo P The best approximation to pt) = 3 by polynomials in Span (Py. P, ) isO

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Chapter2: Second-order Linear Odes
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6.7.10
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Let P, have the inner product given by evaluation at -3, -1, 1, and 3. Let Po(0)= 1, P, (1)4t, and q(t)
2-5
Notice that these polynomials
4.
form an orthogonal set with this inner product. Find the best approximation to p() = 3r by polynomials in Span (po P 4)
The best approximation to p(t) = 3t by polynomials in Span(Po.P is
Transcribed Image Text:6.7.10 Question Help Let P, have the inner product given by evaluation at -3, -1, 1, and 3. Let Po(0)= 1, P, (1)4t, and q(t) 2-5 Notice that these polynomials 4. form an orthogonal set with this inner product. Find the best approximation to p() = 3r by polynomials in Span (po P 4) The best approximation to p(t) = 3t by polynomials in Span(Po.P is
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