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How do I solve these with description please Quiz 4 Q1 1 Point For all the questions in this quiz, consider least squares function approximation
How do I solve these with description please
Quiz 4 Q1 1 Point For all the questions in this quiz, consider least squares function approximation and: . V = Cja, b]. the vector space of continuous functions in the interval [a, b] . the inner product: (u, v) = fru(x)(x)dx for any u, ve C . true function: f (x) . approximation function: f.(x) = aix + 02x] Question: The error is given by: Oe(x) = f(x) - air - azz Oe(x) = [f(x) - mix]+ [f(x) - a2x]] Save Answer Q2 1 Point Question: The coefficients are determined such that: O e(x) = 0 at a set of interpolation points O je(x)e(x ) dx is minimized O Je(x)e(x )dax is maximized Save Answer Q3 1 Point Question: For the specific basis functions considered, the equations for the coefficients are: Of e(x)r dr = 0; fe(x)i'dx = 0 Of e(x)Idz = 0: fee(x)zdz = 0 Of e(x)cdr = 0; fe(x)r dx = 0 Save Answer Q4 1 Point Question: Which of the following is NOT true? O The error is orthogonal to each of the basis functions O The function approximation matches the true function at the interpolation points SaveStep by Step Solution
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