The plane 4x - 3y + 8z = 5 intersects the cone z 2 = x 2

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The plane 4x - 3y + 8z = 5 intersects the cone z² = x² + y² in an ellipse.

(a) Graph the cone and the plane, and observe the elliptical intersection.
(b) Use Lagrange multipliers to find the highest and lowest points on the ellipse.

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Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

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Question Posted: Apr 10, 2019 09:38 AM

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The plane 4x - 3y + 8z = 5 intersects the cone z 2 = x 2

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a After plotting z x y the top half of the cone and the plane z54x3y8 we see the ellipse formed by t...View the full answer

Calculus Early Transcendentals

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