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find Lagrange polynomials that approximate f(x)=x^3, a) find the linear interpolation p1(x) using the nodes X0=-1...

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Advance Math

find Lagrange polynomials that approximate f(x)=x^3,

a) find the linear interpolation p1(x) using the nodes X0=-1 andX1=0

b) find the quadratic interpolation polynomial p2(x) using thenodes x0=-1,x1=0, x2=1

c) find the cubic interpolation polynomials p3(x) using thenodes x0=-1, x1=0 , x2=1 and x3=2.

d) find the linear interpolation polynomial p1(x) using thenodes x0=1 and x1=2

e) find the quadratic interpolation polynomial p2(x) using thenodes x0=0 ,x1=1 and x2=2

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