- #1
Baumer8993
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Homework Statement
Consider the intersection of the elliptic paraboloid Z = X2+4Y2 , and the cylinder X2+Y2= 1. Use Lagrange multipliers to find the highest, and lowest points on the curve of intersection.
Homework Equations
The gradient equations of both functions.
The Attempt at a Solution
I have ∇f= <2X, 8Y> and ∇g= <2X, 2Y>. the constraint equation is X2+Y2 = 1.
I set the equations equal to get:
2X = (2X)λ 8Y = (2Y)λ
When I try to solve it always removes the variable. Where do I go from here to solve?