Question: QUESTION 4 for a E [0, 2] Interpolation: Consider the function f(x) = 2, show that the first degree Lagrange (a) Using the nodes ro

 QUESTION 4 for a E [0, 2] Interpolation: Consider the function

QUESTION 4 for a E [0, 2] Interpolation: Consider the function f(x) = 2, show that the first degree Lagrange (a) Using the nodes ro = 0 and r1 polynomial is given by %3D %3D p1(z) = 1 a/3 [10 marks] (b) Using the same function, f(x), as above compute the second degree La- grange polynomial using the nodes ro = 0, x1 =1 and r2 = 2. [10 marks)

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