Question 1 (Lagrange Multipliers) Given the ellipsoid 2012²2 + 1/2 + b and the plane x = 2 = 1 What are the points on the intersection of the ellipsoid with the plane that are respectively closest and furthest from the origin?
Question 1 (Lagrange Multipliers) Given the ellipsoid 2012²2 + 1/2 + b and the plane x = 2 = 1 What are the points on the intersection of the ellipsoid with the plane that are respectively closest and furthest from the origin?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Question 1 (Lagrange Multipliers)
Given the ellipsoid
a²
+
+
and the plane
x = 2
=
1
What are the points on the intersection of the ellipsoid
with the plane that are respectively closest and furthest
from the origin?
Question 2 (Lagrange Multipliers)
What is the maximum value of the temperature
T(x, y, z) = y² + xz over the sphere of radius 1?
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