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עמוד 776 תרגיל 8

Given point A on the graph of we can define two rectangles. Use the check-boxes in the applet below to discover for each of the rectangles when their area (or perimeter) is maximal\minimal. Are the extrema of the two rectangles achieved in the same place (i.e for the same value of A)? If so - prove, if not - explain.
In the following applet investigate the previous questions on the more general function