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Yes indeed. The solution you give in post #19 using simple calculus is much faster and simpler. Well done.I may have overthought about problem 2.

There are various ways that can be used but I ask for the use of calculus as it is a fast and simple approach. Your first solution for question ##4## gets unnecessarily complex but the second is fine.I noticed that P4 required the use of calculus? What, precisely, does that mean? If my approach doesn't qualify, it's fine.