Optimization - Maximize the Area of a Norman Window 

Awesome explanation. Much better than how my teacher explained it. Thanks a bunch!

thank you. this video is perfectly detailed and i love how you use different colors to make it less confusing.

Thank you for the comment.

The algebra/proof is well explained here. I'd like to point out that you can use geometric reasoning. To get the max area then the width would be two times the height. i.e 2H = W. Using your perimiter(p) relationship, you get P = 2H + W+ .5*pi*W, substitute the 2H for W and you get W = 2P/(4+pi). Since we said W = 2H, then H = P/(4+pi).

thank you so much i was stuck on this for so long

So helpful my goodness you just saved my a in calc (not meaning to come off as sarcastic)

thanks this really helped, you're explanation was excellent!

Thank you so much! You're a life saver!

Nice explanation!

Thank you!

Great video, thank you!

Why do we have to factor the w out of w + .25piw = 8? I would've though you could just combine the terms to get 1.25piw = 8

Life saver

Thanks a lot

I dont get how you got w + 1/4 pi w = 8 into w ( 1+ 1/4pi) = 8 ....I don't get it how did you remove the w from it.

Is there any way of finding the area without using derivatives?

Thank u sooooo much

Thanks!!

Gracias

You're hot, because you helped me with maths