a. Plot the three-leaved rose r = 10 cos 3 . Sketch the graph. . Plot the limaon r = 3 5

Chapter 13, Problem R2

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a. Plot the three-leaved rose r = 10 cos 3 . Sketch the graph. . Plot the limaon r = 3 5 cos . Sketch the graph. Plot the hyperbola Sketch the graph. Plot the circle r = 2 cos ( 60). Sketch the graph. Plot the line r = 2 sec ( 60). Sketch the graph. Prove algebraically that the graph in part c is a hyperbola by transforming the equation to Cartesian form. Where is the focus of the hyperbola? What is its eccentricity?

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