A rectangle has its base on the x axis and its upper two vertices on the parabola y = 9 - x2. (a) Draw a graph of this problem. (b) Label the upper right vertex of the rectangle (x, y) and indicate the lengths of the sides of the rectangle. (c) Express the area A as a function of x and state the domain of A. (d) Calculate the derviative of A and solve for the critical values. (e) What is the largest area the rectangle can have?
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