(1) Find the point(s) on the graph of y = 8 ? x2 closest to the point (0, 5).
(2) A Norman Window is to be constructed as shown.
If the perimeter of the window is fixed at 16 feet, find the dimensions x and y that will maximize the area necessary to accommodate the window.
What will be the resulting area?
(3) A right triangle is formed in the first quadrant by the x and y axes and a line through the point (2, 3). Find the vertices of the triangle so that the area is minimum.