(a) Graph the polar curves r 2 cos u 1 and r 2 cos u 1.
Chapter 9, Problem 40(choose chapter or problem)
(a) Graph the polar curves r 2 cos u 1 and r 2 cos u 1. What do you observe? (b) Part (a) shows that algebraically nonequivalent polar equations may have identical graphs. (This is another consequence of the fact that the polar coordinates of a point are not unique.) Show that both equations in part (a) can be written (x2 2x y2 ) 2 x2 y2 0.
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