CalcBC and CalcAB ASN CalcBC and CalcAB Apply the derivative Due: 02(A) & 03(B) March 2010 Read each line of information carefully. I did a bit of editing in an attempt to guide you through the language used by the College Board people. Hear me when I say (Okay that is awkward to "say" when I am writing to you, but you know what I mean!) this problem is not hard; it is different . What makes it different is the geometry involved; you need to work with an isosceles triangle. The trough shown in the figure is a triangular prism. It is 5 feet long; that is the distance between the triangular base ends, the height of the prism. Its vertical cross sections (in other words, the base ends) are inverted isosceles triangles with base 2 feet and height 3 feet. In order for the drawing to show a three-dimensional shape fairly well the trough was tilted. The problem with that is now the shape of the surface of water in the trough (shaded region) does not appear to be a rectangle like it really is
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triangle, 2 feet, shaded region, trough, actual trough