Answer: (a) Find parametric equations for the ellipse . [Hint: Modify the equations of

Chapter 10, Problem 34

(choose chapter or problem)

(a) Find parametric equations for the ellipse . [Hint: Modify the equations of the circle in Example 2.] (b) Use these parametric equations to graph the ellipse when and b 1, 2, 4, and 8. (c) How does the shape of the ellipse change as b varies?

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