Solve the following problems, showing any necessary work. Your answers must be exact, or must contain at least four digi

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Solve The Following Problems Showing Any Necessary Work Your Answers Must Be Exact Or Must Contain At Least Four Digi 1 (43.64 KiB) Viewed 32 times

Solve the following problems, showing any necessary work. Your answers must be exact, or must contain at least four digits after the decimal point. 1. Let W be the subspace spanned by 2 -2 7 -4 1: Note that this basis is not orthogonal. 11 a. [1 point) Find the orthogonal projection of into W. -3 9 -6. b. [1 point] Find an orthogonal basis for W. 2. Find the best-fitting curve of each type below, using (0, -1), (1, -1), (3, 11), and (4, 35) for data points. a. [1 point) Lines: y = ax + b. b. [1 point) Parabolas symmetric about the y-axis: y = ax² +c.