Question: 1. Using the data cos (0.1) = 0.99500 and cos (0.2) = 0.98006, find an approximate value of cos (0.15) by Lagrange interpolation. Obtain

1. Using the data cos (0.1) = 0.99500 and cos (0.2) =

1. Using the data cos (0.1) = 0.99500 and cos (0.2) = 0.98006, find an approximate value of cos (0.15) by Lagrange interpolation. Obtain a bound on the error at x = 0.15. 2. The following values of the function f(x) = sin 2x + cos 3x, are given X 10 20 30 f(x) Construct the quadratic Lagrange interpolation polynomial that fits the data. Hence, find f(t/12). compare with the exact value and find the errors. 1.2080 1.1427 0.8660

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D Given Cos Col 6995 cos o2 098006 we have to find a polynomal thaough co10995 and 02098006 Osi... View full answer

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