Apply the rotation formulas (5) to Ax 2 Bxy Cy 2 Dx Ey F 0 to obtaine the equation Ax 2 Bxy Cy 2 Dx Ey F 0 Refer to Problem 54 Show that B 2 4AC is invariant Data From problem 54 Show that A c A ' C ', and thus show that A C is invariant that is, its value does not change under a rotation of axes ...

B Bcos 0sin0 2CA sin cos 1 B cos 20AC sin 201 B cos ...

Apply the rotation formulas (5) to Ax 2 + Bxy + Cy 2 + Dx + Ey

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Apply the rotation formulas (5) to Ax² + Bxy + Cy² + Dx + Ey + F = 0 to obtaine the equation A’x’² + B’x’y’ + C’y’² + D’x’ + E’y’ + F’ = 0.

Refer to Problem 54. Show that B² – 4AC is invariant.

Data From problem 54.

Show that A + c = A' + C', and thus show that A + C is invariant; that is, its value does not change under a rotation of axes.

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Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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Question Posted: Apr 01, 2019 12:34 PM

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Apply the rotation formulas (5) to Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0 to obtaine the equation Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0. Show that A + c = A' + C', and thus show that A + C is invariant;...
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Apply the rotation formulas (5) to Ax 2 + Bxy + Cy 2 + Dx + Ey

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B Bcos 0sin0 2CA sin cos 1 B cos 20AC sin 201 B cos ...View the full answer

Precalculus

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