(a) Graph the polar curves r cos(u/2) and r sin(u/2). What
Chapter 9, Problem 41(choose chapter or problem)
(a) Graph the polar curves r cos(u/2) and r sin(u/2). What do you observe? (b) Part (a) shows that algebraically nonequivalent polar equations may have identical graphs. (See Exercise 40 for another example.) Show that both polar equations can be written in the rectangular form (x2 y2 )[2(x2 y2 ) 1]2 x2 0 A
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