Find the quadratic polynomial g(x) = ax 2 + bx + c which best fits the function

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Find the quadratic polynomial g(x) = ax² + bx + c which best fits the function f(x) = e^x at x = 0, in the sense that

g(0) = f(0), and g'(0) = f'(0), and g''(0) = f''(0).

Using a computer or calculator, sketch graphs of f and g on the same axes. What do you notice?

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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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Question Posted: Apr 12, 2023 04:52 AM

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Find the quadratic polynomial g(x) = ax 2 + bx + c which best fits the function

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Step by Step Answer:

So using g0 f0 etc we have 2a 1 b 1 and c 1 and thus ...View the full answer

Applied Calculus

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