Question: Perform the following steps to find the maximum area of the rectangle shown in the figure (a) Solve for c in the equation f (c)

Perform the following steps to find the maximum area of the rectangle shown in the figure

4 3 2 1 C 1 f(x) = 10xe-x C + X

(a) Solve for c in the equation f (c) = f (c + x).(b) Use the result in part (a) to write the area A as a function of x.(c) Use a graphing utility to graph the area function. Use the graph to approximate the dimensions of the rectangle of maximum area. Determine the maximum area.(d) Use a graphing utility to graph the expression for c found in part (a). Use the graph to approximate lim _x0+ c and lim _x∞c.Use this result to describe the changes in dimensions and position of the rectangle for 0

4 3 2 1 C 1 f(x) = 10xe-x C + X 4 -1 5 6 X

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