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  3. 1 consider the following interpolating points for the function r...

Question: 1 consider the following interpolating points for the function r...

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1. Consider the following interpolating points for the function )r 01 2 3 f(ti) 0-1 0 3 (a) Use monomial basis to find Pt () that interpolates f(x) at r, for0,1. Con struct the Vandermonde matrix and then use the backslash in matlab to solve the linear system. b) Repeat (a) to find P() that interpolates f(x) at a,for 0,1,2 (c) Repeat (a) to find Ps(r) that interpolates f(z) at fo 0,1,2,3 (d) Compare P2(x), Ps( and f(). What do you see? Can you explain it?
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