Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 13x²-8xy + 7y²-42-0 (a) Identify the resulting rotated conic. o ellipse parabola hyperbola (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 34E
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Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation.
13x²-8xy + 7y2-42-0
(a) Identify the resulting rotated conic.
o ellipse
parabola
hyperbola
(b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.)
X
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Transcribed Image Text:Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 13x²-8xy + 7y2-42-0 (a) Identify the resulting rotated conic. o ellipse parabola hyperbola (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.) X Need Help? Read
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