Find the extreme values of f(x,y) = xy subject to the constraint x² + y² -4 = 0. The extrema are (Use a comma to separate answers as needed. Simplify your answer.)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Find the extreme values of f(x,y) = xy subject to the constraint x² + y² - 4 = 0.
The extrema are
(Use a comma to separate answers as needed. Simplify your answer.)
Transcribed Image Text:Find the extreme values of f(x,y) = xy subject to the constraint x² + y² - 4 = 0. The extrema are (Use a comma to separate answers as needed. Simplify your answer.)
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