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9x² – 24xy + 16y² = 100(x – y – 1) ) a.) Use a rotation of axes to show that the above equation represents a parabola. b.) What is the angle of rotation of the parabola? ) c.) Find the XY- and xy- coordinates of the vertex and focus.

9x² – 24xy + 16y² = 100(x – y – 1) ) a.) Use a rotation of axes to show that the above equation represents a parabola. b.) What is the angle of rotation of the parabola? ) c.) Find the XY- and xy- coordinates of the vertex and focus.

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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9x² – 24xy + 16y² = 100(x – y – 1) ) a.) Use a rotation of axes to show that the above equation represents a parabola. b.) What is the angle of rotation of the parabola? ) c.) Find the XY- and xy- coordinates of the vertex and focus.
Transcribed Image Text:9x² – 24xy + 16y² = 100(x – y – 1) ) a.) Use a rotation of axes to show that the above equation represents a parabola. b.) What is the angle of rotation of the parabola? ) c.) Find the XY- and xy- coordinates of the vertex and focus.
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