Mathematics, 30.07.2021 02:10 Hali07

Given the data x 1 2 2. 5 3 4 5
f(x) 0 5 7 6. 5 2 0
(a) Calculate f (3.4) using Newton's interpolating polynomials of order 1 through 3. Choose the sequence of the points for your estimates to attain the best possible accuracy.
(b) Repeat (a) but use the Lagrange polynomial.

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Given the data x 1 2 2. 5 3 4 5
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Given the data x 1 2 2. 5 3 4 5 f(x) 0 5 7 6. 5 2 0 (a) Calculate f (3.4) using Newton's interpolating polynomi­als of order 1 through 3. Choose the sequence of the points for your estimates to attain the best possible accuracy. (b) Repeat (a) but use the Lagrange polynomial.

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Given the data x 1 2 2. 5 3 4 5
f(x) 0 5 7 6. 5 2 0
(a) Calculate f (3.4) using Newton's interpolating polynomials of order 1 through 3. Choose the sequence of the points for your estimates to attain the best possible accuracy.
(b) Repeat (a) but use the Lagrange polynomial.