@mathandcobb: If the surface area is fixed, what are the dimensions of a (closed) box that maximizes volume? Let's find out using Lagrange multipliers #math #mathtok #calculus #multivariablecalculus #lagrangemultipliers

Dave :

Fun. Haven’t thought about this in 30 years.

Ted Courant :

Of course, the favorite of 2 should be pulled into the λ for simplicity.

joseph_m666 :

does not matter for x,y,z solution, but should the \lambda term be on the rhs of the foc equations?

The mathematician Logman :

MARIANGEL 😍😏🤪 :

😳,

HokkaidoMilk :

🥰🥰🥰

CrazyCemeteryLady :

I always learn so much watching my fellow SRP friends! Thanks for sharing! 🪦

satellite73 :

My proof: you label x, y, z I label y, z, x Joe labels z, x, y Since there is no difference, they must be equal.