Solved: The following table lists data for the function described by f (x) = e0.1x2
Chapter 3, Problem 9(choose chapter or problem)
The following table lists data for the function described by f (x) = e0.1x2 . Approximate f (1.25) by using H5(1.25) and H3(1.25), where H5 uses the nodes x0 = 1, x1 = 2, and x2 = 3; and H3 uses the nodes x0 = 1 and x1 = 1.5. Find error bounds for these approximations. x f (x) = e0.1x2 f (x) = 0.2xe0.1x2 x0 = x0 = 1 1.105170918 0.2210341836 x1 = 1.5 1.252322716 0.3756968148 x1 = 2 1.491824698 0.5967298792 x2 = 3 2.459603111 1.475761867
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