Use e- 45° to write 2x + 2.xy + Sy² + óx- 4y = 40 in the x'y'-plane. Then identify %3D the conic. |(172-3)(*)²+(-463)x'y'+(+ 11-2/3)o)²+(12 Jz -8/3)x'+(-8,/z-12/3)y'-160 = 0; parabola (172-3)(*)²+(-46~)xy'+(+ 11- 2/3)6')²+(12 /7 -8~/3)x'+(-8,57-12~/3)y'-160 = 0; ellipse ) (9)*)²+(6)x'y'+(5)v)²+(10~/2 )x'+(-10/2)y'-80 = 0; parabola O (9)*)²+(6)x'y'+(5)6)²+(10~/2)x'+(-10,/2)y'-80 = 0; ellipse

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 64E
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Use e- 45° to write 2x? + 2xy + Sy + óx– 4y = 40 in the x'y'-plane. Then identify
%3D
the conic.
|(1723)(*)²+(-463)x'y'+(+ 11-2~/3))²+(12^/z -8/3)x'+(-8,/z-12~/3)y'-160 = 0;
parabola
(1723)(*)²+(-46~)x'y'+(+ 11- 2/3)6')²+(12 /7 -8~/3)x'+(-8,Jz-12~/3)y'-160 = 0;
ellipse
) (9)*)²+(6)x'y'+(5)6)²+(10~/z )x'+(-102)y'-80 = 0; parabola
O (9)*)²+(6)x'y'+(5)6)²+(10~/2)x'+(-10,/2)y'-80 = 0; ellipse
Transcribed Image Text:Use e- 45° to write 2x? + 2xy + Sy + óx– 4y = 40 in the x'y'-plane. Then identify %3D the conic. |(1723)(*)²+(-463)x'y'+(+ 11-2~/3))²+(12^/z -8/3)x'+(-8,/z-12~/3)y'-160 = 0; parabola (1723)(*)²+(-46~)x'y'+(+ 11- 2/3)6')²+(12 /7 -8~/3)x'+(-8,Jz-12~/3)y'-160 = 0; ellipse ) (9)*)²+(6)x'y'+(5)6)²+(10~/z )x'+(-102)y'-80 = 0; parabola O (9)*)²+(6)x'y'+(5)6)²+(10~/2)x'+(-10,/2)y'-80 = 0; ellipse
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