2) A drug lord wishes to optimize the area in which he will grow his coca...

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2) A drug lord wishes to optimize the area in which he will growhis coca plants. The area concerned has a river on one side andmust be closed in with fencing on the other three sides. He has500ft of fencing. Determine the dimensions of the ?eld that willmaximize the area. Show that this is indeed a maximum.


3) The drug lord is now in jail. He requests that there be a windowwith a semicircular top in his cell that lets in the most amount oflight possible. If there are 20m of framing material available,what are the dimensions of the window? Again, show that this isindeed a maximum.

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