Suppose you have a function f (x): - - cos (x) and two nodes and...

   

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Suppose you have a function f (x): - - cos (x) and two nodes — and 0. 1. [3 Marks] Find the interpolation polynomial of the given function and nodes using the Vandermonde matrix method. 2. [1.5 Marks] Roughly hand-draw a comparison graph between f (x)and the interpolating polynomial. 3. [1.5 Marks] Compute the actual interpolation error at x = 0 Suppose you have a function f (x): - - cos (x) and two nodes — and 0. 1. [3 Marks] Find the interpolation polynomial of the given function and nodes using the Vandermonde matrix method. 2. [1.5 Marks] Roughly hand-draw a comparison graph between f (x)and the interpolating polynomial. 3. [1.5 Marks] Compute the actual interpolation error at x = 0

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The question youve presented is a multipart mathematics problem involving polynomial interpolation for a given function using the Vandermonde matrix m... View the full answer