Consider the ellipse (a) The area of the ellipse is given by Write the area of the

Chapter 4, Problem 101

(choose chapter or problem)

Consider the ellipse (a) The area of the ellipse is given by Write the area of the ellipse as a function of (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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