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How to clarify a rotated conic section.

Give a detailed description of how linear transformations can be used to study rotated conic sections. Your essay should include
1) a description of rotations through an angle about the origin
2) how to eliminate the xy- term from the equation of a rotated conic section
3) two examples of rotated conic sections and
4) how to classify a rotated conic section as a parabola, ellipse, or hyperbola.

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Solution Attachment

Solution document is in Word format