Lagrange Multipliers Maximize f(x,y) = 2x + 2xy + y subject to 2x + y = 100

[@cosmicgaussian1881]

Showed this to a Thermal and Statistical Physics student today so they could understand an entropy problem and it was extremely helpful to them!

[@TheMathSorcerer]

awesome!

[@santiagoreyes9440]

Omg you dont know but you did all my homework, love you

[@TheMathSorcerer]

Lol

[@aashsyed1277]

Best tutor in the world!!!

[@s.a.k.57]

Thanks man you have cleared my concept!

[@michaelwozniak6]

This was very helpful, thank you.

[@TheMathSorcerer]

You are welcome !

[@y0z64_codes]

In a CS program, rn and optimization is killing me. But your video is very well explained!

[@duckymomo7935]

Great video; I really need/want to practice Lagrange multipliers

[@TheMathSorcerer]

Ya it's pretty cool

[@meeraanil382]

You are a life saver !❤

[@GAROU0555]

Thank you sir for information

[@itsleomarx]

How do you know if you’re maximizing or minimizing?

[@chakombaphirijr2984]

Helpful video, I want to ask what happens if the 2x in the maximization function was 2x squared

[@danielvillamar8603]

Thank you man, i love you

[@TheMathSorcerer]

No problem!

[@rssl5500]

Hello I think it’s 2600 Now my method: suppose a+b=n we want max(ab) suppose a=n/2 +R And b=n/2 - R and R is any real number it can even be negative now the multiplication gives us n^2/4 - R^2 now we know that R^2 is greater than or equal to 0 for any real number so -( R^2 ) is gonna be less than or equal to 0 so the best case is when R=0 and the maximum becomes n^2/4 now 2x+y=100 plug in a=2x b=y then we have : a+b=100 we want max ab notice it’s gonna be 2500 and add 100 because of +2x+y so it’s 2600 final answer !

[@zamanmakan2729]

Thank you so much, quite helpful! But just confused about sth: many videos talk about gradient to be perpendicular to the contoure line sth like that, I don't understand that well. Any details?

[@hongnhonphanang5306]

thank you

[@antonmsk3401]

This is bang tidy!

[@SV_GAMING15]

Thank u

[@josearchiealcos1055]

thanks a bunch

[@TheMathSorcerer]

np:)

[@GILFORDSLECTURES]

GREETINGS SIR! THE VIDEO IS GOOD! PLEASE WHICH TEXTBOOK ARE YOU USING?

[@TheMathSorcerer]

Calculus by Larson

[@briendamathhatter816]

I just speed ran that so fast

[@TheMathSorcerer]

I used to do that too, just do problems really fast and do as many as possible. I did it because I thought that if I could do it correct and fast I would do well on the test, and it worked hehe.

[@briendamathhatter816]

@@TheMathSorcerer I forgot to sqrt an answer, but I remembered the +-, looks like I did the rest of this type of problem correct on the exam. So hopefully graders are nice and only take off the one point on the problem.

[@TheMathSorcerer]

Nice 👍

[@TheMathSorcerer]

It's calc 3 that you are taking ?

[@briendamathhatter816]

@@TheMathSorcerer Calc 3 and Diff. EQ * that's why I pop up on such different videos. I'm also prepping for next semester where I'm going to be taking basic logic and a proof based math course. So I'm in my freshman year right now, I was thinking of maybe not doing MAT342 AND MAT300 for my second semester of college while I'm not going to coffee shops . The other classes I was planning on doing those with are PHI103 and Phy121; that just seems like a lot, and I'm really NOT trying to graduate early. I don't crave the title boy genius, I just wanna get good at my craft. I struggle enough balancing Calc and Diff. EQ at the same time as much as I love them. You think I should maybe not go full ham on packing my schedule?