Question: Q2. Construct Newton interpolating polynomials of degree one, two, and three for the following data. Approximate the specified value using each of the polynomials. [3Marks]

for the following data. Approximate the specified value using each of the

Q2. Construct Newton interpolating polynomials of degree one, two, and three for the following data. Approximate the specified value using each of the polynomials. [3Marks] f(0.9)iff(0.6)=0.17694460.f(0.7)=0.01375227,f(0.8)=0.22363362,f(1.0)=0.65809197 23. Use the Newton forward and backward difference formula to approximate the specified value for the following data. [3Marks] f(0.25)iff(1)=0.86199,f(0.5)=0.95802,f(0)=1.09861,f(0.5)=1.29438

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