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Rotating a System

Write the equation in terms of a rotated x'y'-system using q, the angle of rotation. Write the equation involving x' and y' in standard form.

x2 + 2xy + y2 - 8x + 8y = 0; q = 45°

x'2 = -4sqrt2y'2
x'2 = -4sprt2y'
3x'2 - 4sqrt2x'y' + y'2 = 0
2x'2 - sqrt2x'y' + 2y'2 = 0

Solution Summary

A system is rotated and solved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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