MA111Wk2Lect2 - n points into the polynomial We thus obtain...

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MA111 Week 2 Lecture 2
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Example The flow of traffic (in vehicles/ hr) through a network of streets is shown. Solve the system for x i
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Polynomial Curve Fitting Given a set of data represented by n points 1 1 2 2 , , , , , , n n x y x y x y K 2 1 0 1 2 1 n n p x a a x a x a x L in the xy -plane, we want to find a polynomial of degree ( n -1) whose graph passes through these points.
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Method To obtain the n coefficients of the polynomial function, we substitute each of the
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Unformatted text preview: n points into the polynomial. We thus obtain a system of linear equations with variables 1 2 1 , , , , n a a a a K Example Determine the polynomial whose graph passes through the point: 1, 4 , 2, 0 , 3,12 Example Determine the polynomial whose graph passes through the point: 2, 5 , 3, 2 , 4, 5...
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