Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 2x2 + 4xy + 2y2 + 5/2x + 2v2y + 9 = 0 (a) Identify the resulting rotated conic. O parabola ellipse hyperbola (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.) 4x p + 7xp – 3yp + 9 = 0 |
Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 2x2 + 4xy + 2y2 + 5/2x + 2v2y + 9 = 0 (a) Identify the resulting rotated conic. O parabola ellipse hyperbola (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.) 4x p + 7xp – 3yp + 9 = 0 |
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
2x2 + 4xy + 2y2 + 5 2x + 2/2y +9 = 0
(a) Identify the resulting rotated conic.
parabola
ellipse
hyperbola
(b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.)
4x*р + 7хp — Зур +9%3D0|
d.
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