(Solved):   2.1 Find the appropriate Lagrange interpolating polynomial using the following data table ...

 

2.1 Find the appropriate Lagrange interpolating polynomial using the following data table [5 marks] 2.2 Given a set of three data points \( \{(0,1),(2,5),(4,17)\} \). Determine Newton's interpolation polynomial of degree 2 which passes through these points. [4 marks] 2.3 Approximate \( f(1895) \) using an interpolating polynomial of degree 4 using Newton's forward-difference formula for [7 marks]