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.
Calculus: An Applied Approach (MindTap Course List)
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Calculus: Early Transcendental Functions
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Study Guide for Stewart's Multivariable Calculus, 8th
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Mathematics: A Practical Odyssey
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Introduction To Statistics And Data Analysis
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Calculus Volume 1