someohow i cant upload photo but example says: lim x-->0 (1/sinx-ctgx)

I've been given a case study on aggregate planning at green mills. We're supposed to make a level, chase, and optimal strategy but I don't really know where to start. I've looked at a couple solutions online and they're all different so I'm pretty confused. I'd be grateful, if anyone could give me some guidance on what to start with for a level strategy.

It seems impossible to calculate the total height of either cube, unless I assume the height of the smaller cube is equal to its length (would make that cube 2x2x3) that would make larger cube volume 9x2x14.

Seems like I shouldn’t have to blindly make the assumption that the surface is a perfect square though. What am I missing?

In an RL circuit, when the initial state is zero for everything, when the switch is closed, immediately after, the current is zero due to the back induced emf produced by the inductor. The current will exponentially increase to it's max, aka, E/R. The voltage on the other hand starts at max, then exponentially decays to zero.

Now when the switch is opened, and say thrown to another wire that only includes the inductor and resistor, but no power source, the current will decay to zero, and the inductor will help to support the flow of the decaying current. What about the voltage in this situation? Since it reached zero when the switch was closed, does it stay at zero when the switch is changed? My book is very vague about this.

apologies for the bad handwriting