Find a new representation of 2x² + 8xy - 1 = 0 by describing it in a system with axes rotated by 30°. Use software (such as Desmos) to include in your submission a graph of the equation, as well as two lines representing the new axes. These line will be in the form y = mx and y = -x Note- the equation in the new system will not necessarily be in the standard form of the hyperbola.

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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Find a new representation of 2x² + 8xy - 1 = 0 by describing it in a system with axes
rotated by 30°. Use software (such as Desmos) to include in your submission a graph of
the equation, as well as two lines representing the new axes. These line will be in the form
y = mx and y = -x
Note- the equation in the new system will not necessarily be in the standard form of the
hyperbola.
Transcribed Image Text:Find a new representation of 2x² + 8xy - 1 = 0 by describing it in a system with axes rotated by 30°. Use software (such as Desmos) to include in your submission a graph of the equation, as well as two lines representing the new axes. These line will be in the form y = mx and y = -x Note- the equation in the new system will not necessarily be in the standard form of the hyperbola.
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