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1. Let an x'y'-coordinate system be obtained by rotating an xy-coordinate system through an angle of 8 = 60°. (a) Find the x'y'-coordinates of the point whose xy-coordinates are (-2,6). (b) Find an equation of the curve √√3xy + y² =6 in x'y' - coordinates. (c) Sketch the curve in part (b), showing both xy-axes and x'y'- - axes.

1. Let an x'y'-coordinate system be obtained by rotating an xy-coordinate system through an angle of 8 = 60°. (a) Find the x'y'-coordinates of the point whose xy-coordinates are (-2,6). (b) Find an equation of the curve √√3xy + y² =6 in x'y' - coordinates. (c) Sketch the curve in part (b), showing both xy-axes and x'y'- - axes.

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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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1. Let an x'y-coordinate system be obtained by rotating an xy-coordinate system through an angle of = 60°. (a) Find the x'y-coordinates of the point whose xy-coordinates are (-2,6). (b) Find an equation of the curve √3xy + y² = 6 in x'y'− coordinates. (c) Sketch the curve in part (b). showing both xy-axes and xy axes.
Transcribed Image Text:1. Let an x'y-coordinate system be obtained by rotating an xy-coordinate system through an angle of = 60°. (a) Find the x'y-coordinates of the point whose xy-coordinates are (-2,6). (b) Find an equation of the curve √3xy + y² = 6 in x'y'− coordinates. (c) Sketch the curve in part (b). showing both xy-axes and xy axes.
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