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Solve it by matlab please Repeat Prob. 18.6 using Lagrange polynomials of order 1 through 3. Given these data 1 2. 3 5 7 8

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Repeat Prob. 18.6 using Lagrange polynomials of order 1 through 3. Given these data 1 2. 3 5 7 8 flxd 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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