MATH100 Study Guide - Final Guide: Rainwater Tank

8. Consider rectangles with an edge along the r-axis and two vertices (or corners) above the x-axis on the curve y = V-2.2 a. Among all such rectangles, is there one with maximum area? If so, what are its dimensions? b. Among all such rectangles, is there one with minimum area? If so, what are its c. Among all such rectangles, is there one with maximum perimeter? If so, what are its d. Among all such rectangles, is there one with minimum perimeter? If so, what are its dimensions? dimensions? dimensions?

4. Show that of all the rectangles with a given area A, the one with the smallest perimeter is a square.