http://calc3.askbot.com/questions/Open source question and answer forum written in Python and DjangoenCopyright Askbot, 2010-2011.Tue, 15 Jul 2014 22:57:06 -0500http://calc3.askbot.com/question/98/how-to-evaluate-the-intersections-of-the-restriction-functions/This is in reference to the Optimization Homework that is due tomorrow. I know that Dr. McClure made several references to considering the intersection points of the functions that serve as our restrictions. I know how to find the intersection points, but I am drawing a blank on how to "consider" them for extrema. What I have done so far is to use the intersection points in calculating the discriminant, but I don't know if that is what I am supposed to do. Any help would be great! Thanks...Tue, 15 Jul 2014 20:06:16 -0500http://calc3.askbot.com/question/98/how-to-evaluate-the-intersections-of-the-restriction-functions/http://calc3.askbot.com/question/98/how-to-evaluate-the-intersections-of-the-restriction-functions/?answer=99#post-id-99Without giving too much away, I think it might be beneficial if you set the two constraint curves equal to each other. If you do that, you can find the points that they intersect at and plug them back into $f$. Compare that function value to some other extrema that you found.Tue, 15 Jul 2014 20:48:00 -0500http://calc3.askbot.com/question/98/how-to-evaluate-the-intersections-of-the-restriction-functions/?answer=99#post-id-99http://calc3.askbot.com/question/98/how-to-evaluate-the-intersections-of-the-restriction-functions/?answer=100#post-id-100To add to that, consider where the intersections are located relative to the contours. Tue, 15 Jul 2014 22:57:06 -0500http://calc3.askbot.com/question/98/how-to-evaluate-the-intersections-of-the-restriction-functions/?answer=100#post-id-100