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This could just be a straightforward calculus exercise except that you are asked first to consider the geometric situation and make conjectures about the result before you do any calculus.
To appreciate and fully understand the mathematics you are learning it is good practice to make conjectures if you can and then review your first thoughts in light of further work on the problem.
It is important to ask yourself how many answers you might expect to find (one only or perhaps more than one?) and to ask yourself how you will know if you have found ALL the answers.
Least of All
Age 16 to 18
Challenge Level 
This could just be a straightforward calculus exercise except that you are asked first to consider the geometric situation and make conjectures about the result before you do any calculus.
To appreciate and fully understand the mathematics you are learning it is good practice to make conjectures if you can and then review your first thoughts in light of further work on the problem.
It is important to ask yourself how many answers you might expect to find (one only or perhaps more than one?) and to ask yourself how you will know if you have found ALL the answers.
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