(a) [10%] Determine the polynomial interpolant to the data t 1 2 3 4 y 11...

(a) [10%] Determine the polynomial interpolant to the data t 1 2 3 4 y 11 29 65 125 using the monomial basis. (b) [10%] Determine the Lagrange polynomial interpolant to the same data and show that the resulting polynomial is equivalent to that obtained in part (a). (c) [30%] Compute the Newton polynomial interpolant to the same data using each of the three methods discussed in class (triangular matrix, incremental interpolation, and divided differences) and show that each produces the same result as the previous two methods.

For part (c) cab you show me the incremental interpolation please !!!

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Expert Solution

Given is the solution for the problem.

Comment in case of any doubts.

venereology answered 1 year ago

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