Numerical, Graphical, and Analytical Analysis A

Chapter 2, Problem 2.13

(choose chapter or problem)

Numerical, Graphical, and Analytical Analysis A rectangle is inscribed in the region bounded by the -axis, the -axis, and the graph of as shown in the figure. (a) Write the area of the rectangle as a function of Determine the domain of the function in the context of the problem(b) Use the table feature of a graphing utility to create a table showing possible values of x and the corresponding areas of the rectangle. Use the table to estimate the dimensions that will produce a maximum area. (c) Use a graphing utility to graph the area function. Use the graph to approximate the dimensions that will produce a maximum area. (d) Write the area function in standard form to find algebraically the dimensions that will produce a maximum area. (e) Compare your results from parts (b), (c), and (d).