Consider the ellipse

(a) The area of the ellipse is given by A = ab. Write the area of the ellipse as a function of a.
(b) Find the equation of an ellipse with an area of 264 square centimeters.
(c) Complete the table using your equation from part (a), and make a conjecture about the shape of the ellipse with maximum area.

(d) Use a graphing utility to graph the area function and use the graph to support your conjecture in part (c)?

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= 1, a + b = 20. || 8 9 | 10 | 11 | 12| 13 A