You wish to construct a rain gutter from a long strip of metal by bending up equal width strips on either edge.[br][br]The diagram shows a cross-section of the gutter. Using the sliders you can adjust [br]the width of the base of the gutter as well as the width of the bent up side strips.[br]You can adjust the angle of the side strips by dragging the RED dot.[br][br]How does the amount of water the gutter can carry vary with the angle shown in the diagram?[br][br]Does your solution behave reasonably in limiting cases? in obvious cases?[br][br]Does your solution correctly predict the angle for which the carrying capacity of the gutter is maximum?

Adapted from "Calculus: The Analysis of Functions" by P.D. Taylor