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Find the extreme values of the function z= &r+2ry-3r+y+1 and show that only one of the two extrema can be characterised as a local minimum and neither of the extrema can be characterised as a local maximum. If r = 0, how would you characterise the curvature of z at x?

Find the extreme values of the function z= &r+2ry-3r+y+1 and show that only one of the two extrema can be characterised as a local minimum and neither of the extrema can be characterised as a local maximum. If r = 0, how would you characterise the curvature of z at x?

Elementary Geometry For College Students, 7e
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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1) Find the extreme values of the function : = &r' + 2ry-3x +y +1 and show that only one of the two extrema can be characterised as a local minimum and neither of the extrema can be characterised as a local maximum. If x 0, how would you characterise the curvature of z at x?
Transcribed Image Text:1) Find the extreme values of the function : = &r' + 2ry-3x +y +1 and show that only one of the two extrema can be characterised as a local minimum and neither of the extrema can be characterised as a local maximum. If x 0, how would you characterise the curvature of z at x?
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