Numerical and Graphical Analysis The cross sections of an
Chapter 4, Problem 4.8.63(choose chapter or problem)
Numerical and Graphical Analysis The cross sections of an irrigation canal are isosceles trapezoids, where the lengths of three of the sides are 8 feet (see figure). The objective is to find the angle that maximizes the area of the cross sections. Hint: The area of a trapezoid is given by 8 ft 8 ft 8 ft h2b1 b2. (a) Complete seven rows of the table. (b) Use the table feature of a graphing utility to generate additional rows of the table. Use the table to estimate the maximum cross-sectional area. (c) Write the area as a function of (d) Use a graphing utility to graph the function. Use the graph to estimate the maximum cross-sectional area. How does your estimate compare with that in part (b)?
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