we want to make a rectangular box which measures 9cm between its diagonal corners. What is the largest possible volume of such a box? (Multivariable calculus class)
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- How do you go from the multipliers to all the variables being equal to each other?
- Jun 03, 2018 at 5:39pm
- 1) By symmetry, you can see that x=y=z will satisfy the multipliers. 2) Take λ from one of the 3 equations and substitute it into the constraint and the other two equations. You can show that x = y = z
- Jun 03, 2018 at 5:43pm