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Find the lagrange polynomials that approximate f(x) = x3 a ) Find the linear interpolation polynomial P1(x) using...

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Advance Math

Find the lagrange polynomials that approximate f(x) =x3

a ) Find the linear interpolation polynomial P1(x)using the nodes x0= -1 and x1 = 0

b) Find the quadratic interpolation polynomialP2(x) using the nodesx0= -1 and x1 = 0 and x2 = 1

c) Find the cubic interpolation polynomial P3(x)using the nodes x0= -1 and x1 = 0 andx2 = 1 and x3=2

d) Find the linear interpolation polynomial P1(x)using the nodes x0= 1 and x1 = 2

e) Find the quadratic interpolation polynomial P2(x)using the nodes x0= 0 and x1 = 1 andx2??????? = 2

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