Consider the function, f(x) = 1 and the nodes (2, 3, 4). Now answer the following...

   

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Consider the function, f(x) = 1 and the nodes (2, 3, 4). Now answer the following questions: 2x2 1. [4+3 Marks] Write down the Lagrange bases and the corresponding Lagrange polynomial of appropriate order. 2. [1 Mark] Use the Lagrange polynomial to compute the value at x = 3.5 3. [1 Mark] Find the value of f(x) - Pn (xatx = 3.5 where n is the order of the polynomial used in the previous part. 4. [2 Marks] Write an expression for error for this polynomial in terms of .No need to compute the upper bound. Consider the function, f(x) = 1 and the nodes (2, 3, 4). Now answer the following questions: 2x2 1. [4+3 Marks] Write down the Lagrange bases and the corresponding Lagrange polynomial of appropriate order. 2. [1 Mark] Use the Lagrange polynomial to compute the value at x = 3.5 3. [1 Mark] Find the value of f(x) - Pn (xatx = 3.5 where n is the order of the polynomial used in the previous part. 4. [2 Marks] Write an expression for error for this polynomial in terms of .No need to compute the upper bound.

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1 Lagrange bases and polynomial For the given nodes 234 and the function fx 12x2 the Lagrange polyno... View the full answer