A rectangle is inscribed in the region bounded by the x-axis, the y-axis, and the graph
Chapter 3, Problem 13(choose chapter or problem)
Geometry A rectangle is inscribed in the region bounded by the x-axis, the y-axis, and the graph of x + 2y − 8 = 0, as shown in the figure.
(a) Write the area A of the rectangle as a function of x. Determine the domain of the function in the context of the problem.
(b) Use a graphing utility to graph the area function. Use the graph to approximate the dimensions that will produce a maximum area.
(c) Write the area function in standard form to find algebraically the dimensions that will produce a maximum area. Compare your results with your answer from part (b).
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