Optimization Problems Visualizer – AP Calculus AB

1. A farmer has 100 m of fencing. The maximum area of a rectangular pen (one side is a wall) is:

625 m² 1250 m² 2500 m² 500 m²

2. At a critical point, if f''(x) > 0, the point is a:

Local maximum Local minimum Inflection point Saddle point

3. To minimize material for a cylinder of fixed volume V, the optimal ratio h/r is:

h = r h = 2r h = πr h = r/2