5. Find the coordinates of the points on the cross sectional curve of the intersection of the cone z = √x² + y² and the plane x + 2y + 3z = 3 that have maximum and minimum distance from the xy-plane (see the sketch below). Hint: Use the Lagrange Multipliers method. cone intersection curve plane xy-plane

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
5. Find the coordinates of the points on the cross sectional curve of the intersection of the cone
√x² + y² and the plane x +2y+3z = 3 that have maximum and minimum distance from the
xy-plane (see the sketch below). Hint: Use the Lagrange Multipliers method.
2 =
cone
intersection curve
plane
xy-plane
50
Transcribed Image Text:5. Find the coordinates of the points on the cross sectional curve of the intersection of the cone √x² + y² and the plane x +2y+3z = 3 that have maximum and minimum distance from the xy-plane (see the sketch below). Hint: Use the Lagrange Multipliers method. 2 = cone intersection curve plane xy-plane 50
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