- #1
CAF123
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Homework Statement
If n is a fixed positive integer, compute the max and min values of the function [tex] (x-y)^n = f(x,y), [/tex] under the constraint [itex] x^2 + 3y^2 = 1 [/itex]
The Attempt at a Solution
I got the 4 critical points [itex] (±\frac{\sqrt{3}}{2}, ±\frac{1}{2\sqrt{3}})\,\,\text{and}\,\, (±\frac{1}{2},±\frac{1}{2}) [/itex]
Correct? My question is : to find the max and min of this function under this constraint, I split n into even and odd cases and found the values from there. Is that the right way to go about the question?