(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hi all,

I have a project for optimization class and the problem is that:

A curve [tex]\alpha[/tex](t) = (x(t),y(t)) of length L = 6 units is to be found so that the area enclosed by the curve and the x-axis is maximum. Curve will be start at (1, 0) and end at (3, 0).

I am supposed to solve this problem by using various kind of optimization algorithms which are Steepest descent, Newton’s method, Fletcher-Reeves and Davidon-Fletcher-Powell. I'll apply these methods in Matlab.

3. The attempt at a solution

Since these methods are for unconstrained optimization problems, I think I should treat this constrained problem as an unconstrained problem using some methods like penalty and barrier methods. However, I could't find out which method I should apply.

Thanks in advance..

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# Homework Help: Curve Enclosing Max Area

Can you offer guidance or do you also need help?

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