Question

@ganeshie8

Answer 1

Find the dimensions of the parallelpiped of maximum value circumscribed by a sphere of radius R

Answer 2

\[a^2+b^2+c^2=4R^2\] mhm it's not hard as I imagined it to be

Answer 3

Max V = abc

Answer 4

\[f = abc\]
\[\frac{ \partial f }{ \partial a} + \lambda \frac{ \partial g }{ \partial a } = 0\] yeah do this with b and c as well, mhm nope not too hard.

Answer 5

yeah lagrange multipliers work smoothly here