Question: The plane 4x - 3y + 8z = 5 intersects the cone z 2 = x 2 + y 2 in an ellipse. (a) Graph

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

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