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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Related Book For  answer-question

Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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