Recall that Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 transforms to

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Recall that Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 transforms to au2 + buv + ev2 + du + ev + f = 0 under a rotation of axes. Find formulas for a and c, and show that a + c = A + C.

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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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Question Posted: Jun 21, 2016 10:43 AM

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Recall that Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 transforms to

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x u cos v sin y u sin v cos Ax 2 Au cos v sin 2 Au 2 cos 2 2uv cos sin v 2 sin 2 Bxy Bu cos v sin ...View the full answer

Calculus

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