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Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 6x2 - 4xy + 6y² - 36 = 0 (a) Identify the resulting rotated conic. O parabola O ellipse O hyperbola (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.)

Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 6x2 - 4xy + 6y² - 36 = 0 (a) Identify the resulting rotated conic. O parabola O ellipse O hyperbola (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.)

Advanced Engineering Mathematics
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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Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 6x2 - 4xy + 6y2 - 36 = 0 (a) Identify the resulting rotated conic. O parabola O ellipse O hyperbola (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.)
Transcribed Image Text:Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 6x2 - 4xy + 6y2 - 36 = 0 (a) Identify the resulting rotated conic. O parabola O ellipse O hyperbola (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.)
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