🚀 go-pugleaf

pH|sHsT|K (gempey@mor-net.on.ca) wrote:
: A rectangular Field is to be enclosed and divided into two separate
: areas (the areas are not necessaritly equal). Find the minimum fencing
: that is required if the total area is to be 1200m squared.

This is a standard question which is probably found int EVERY
calculus text in print.  A process for solving it will also solve
most of the other problems in the text:
1) Make a diagram of the field (or rather the fences).
2) Label one side of the field 'x'.
3a) Use the given information to write a formula for the other side.
3b) Finish labeling all the sections of fence with formulas in terms of 'x'.
4) Write a formula for the total amount of fencing used.
5) Take the derivative of your formula, and find all the zeros of that
   expression (critical points), along with any endpoints/undefined points.
   (x=0 and x=infinity in this problem.)
6) Check all the points from (5) to see which is smallest (since this is
   a "minimize" problem).  This smallest number is your answer.

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