Vertical lines Consider the polar curve r = 2 sec u. a.

Chapter 10, Problem 83

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Vertical lines Consider the polar curve r = 2 sec u. a. Graph the curve on the intervals 1p>2, 3p>22, 13p>2, 5p>22, and 15p>2, 7p>22. In each case, state the direction in which the curve is generated as u increases. b. Show that on any interval 1np>2, 1n + 22p>22, where n is an odd integer, the graph is the vertical line x = 2. 8

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