Given the data x 1 2 3 5 7 8 f (x) 3 6 19 99 291 444 Calculate f (4) using Newton’s interpolating polynomials of order 1 through 4. Choose your base points to attain good accuracy. What do your results indicate regarding the order of the polynomial used to generate the data in the table?

Structural Analysis
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Chapter2: Loads On Structures
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Given the data x 1 2 3 5 7 8 f (x) 3 6 19 99 291 444 Calculate f (4) using Newton’s interpolating polynomials of order 1 through 4. Choose your base points to attain good accuracy. What do your results indicate regarding the order of the polynomial used to generate the data in the table?

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