MATH-205 Midterm: Bates MATH 205 041609ross205exam
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The points (1, 11), (2, 10), (4, 14) and (5, 19) do all belong to a parabola of the form 2x2 + 1x + 0. Find 2, 1 and 0 by setting up and solving an appropriate system of linear equations. The data points gathered in a lab experiment were supposed to lie on a parabola of the form. The points were (1, 12), (2, 9), (4, 19) and (5, 22). Show why there can be no such parabola. Find the best t (least-squares) parabola of the form 2x2 + 1x + 0 for the data points in (1b). 04/16/09: suppose that m is a 3 by 3 matrix and . Find m (hint: rst nd p and d as in the diagonalization theorem. Show p and d as part of your work). ; see the useful information on page 0. Label the six columns of a as a1, . In your answers, wherever possible, use the a1, .
