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Given the data: X N 2.5 1.6 4.5 4 3.2 9 15 3 3 9 16 Determine y at x=3.5 using: a) Newton's interpolating polynomial

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Given the data: X N 2.5 1.6 4.5 4 3.2 9 15 3 3 9 16 Determine y at x=3.5 using: a) Newton's interpolating polynomial of order 1 through 3. b) Lagrange interpolating polynomial of order 1 through 3

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