(a) Let f(x, y) = x 2 +y 2 . Estimate f x (2, 1) and f...

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(a) Let f(x, y) = x2+y2. Estimate fx(2, 1) and fy(2, 1) using the contour diagram for f in Figure 8.52.
(b) Estimate fx(2, 1) and fy(2, 1) from a table of valuesfor f with x = 1.9, 2, 2.1 and y = 0.9, 1, 1.1.
(c) Compare your estimates in parts (a) and (b) with the exact values of fx(2, 1) and fy(2, 1) found algebraically.

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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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