1.Two triangular pens are built against a barn.Two hundred meters of fencing are to be used for the three sides and the diagonal dividing fence.What dimensions of maximize the area of the pen?What is the area of the pen?What is the length of the dividing fence

2.4)Squares of with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 3 ft by 4 ft.The resulting piece of cardboard is then folded into a box without a lid.Find the length x that would produce the box with the largest volume and the volume of the resulting box.

3.Graph the following function without a graphing calculator by identifying critical points, mins/maxs, intervals of increasing/decreasing, inflection points, intervals of concavity, asymptotes, end behavior, and intercepts.Makesure to choose appropriate scaling on your graph.A graph is provided on the next page.

F(x) =x^2/x-2