Find the best quadratic approximation to 7x6 on the interval [0, 2] with respect to the...

 

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Find the "best" quadratic approximation to 7x6 on the interval [0, 2] with respect to the inner product 1 All polynomials are over R. You may use without proof the fact that {1, x-1, 3x - 6x + 2} is an orthogonal basis of P2 (R) with respect to the above inner product. You can (and should) use a computer to evaluate individual definite integrals, but otherwise show all details. (f(x), g(x)) = f(x)g(x) dx. Find the "best" quadratic approximation to 7x6 on the interval [0, 2] with respect to the inner product 1 All polynomials are over R. You may use without proof the fact that {1, x-1, 3x - 6x + 2} is an orthogonal basis of P2 (R) with respect to the above inner product. You can (and should) use a computer to evaluate individual definite integrals, but otherwise show all details. (f(x), g(x)) = f(x)g(x) dx.

Answer rating: 100% (QA)

ANSWER We want to find the best quadratic approximation to 7x6 on the interval 0 2 with respect to the inner product fx gx 02 fxgx dx Since 1 x 123x6x... View the full answer