Let f(x, y) = x* + 2x² – a – ay + y² – 5y and let D be the closed rectangle with 0 < # < 5 and 3 < yS 14. Find the absolute minimum and absolute maximum of f(x, y) on D and all points at which they occur.

Elementary Geometry For College Students, 7e
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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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Let f(z, y) = 2° + 2x² – a – zy +y² – 5y and let D be the closed rectangle with 0 <a < 5 and 3 < y< 14.
%3D
Find the absolute minimum and absolute maximum of f(x, y) on D and all points at which they occur.
Transcribed Image Text:Let f(z, y) = 2° + 2x² – a – zy +y² – 5y and let D be the closed rectangle with 0 <a < 5 and 3 < y< 14. %3D Find the absolute minimum and absolute maximum of f(x, y) on D and all points at which they occur.
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