Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equatio 10x? - 6xy + 2y? – 46 = 0 (a) Identify the resulting rotated conic. hyperbola ellipse parabola (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.) (x )² + 11(y')² – 46 = 0
Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equatio 10x? - 6xy + 2y? – 46 = 0 (a) Identify the resulting rotated conic. hyperbola ellipse parabola (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.) (x )² + 11(y')² – 46 = 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation.
10x2 – 6xy + 2y² – 46 = 0
(a) Identify the resulting rotated conic.
O hyperbola
ellipse
O parabola
(b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.)
(x')² + 11(v')² – 46 = 0
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7824f8d0-65fb-442c-84f7-7ea5547717e1%2Fb5e05141-14c7-4706-81b1-027b7dc87e41%2Fn5z07q_processed.png&w=3840&q=75)
Transcribed Image Text:Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation.
10x2 – 6xy + 2y² – 46 = 0
(a) Identify the resulting rotated conic.
O hyperbola
ellipse
O parabola
(b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.)
(x')² + 11(v')² – 46 = 0
-
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