Vertical lines Consider the polar curve r = 2 sec ?.a. Graph the curve on the intervals (?/2, 3?/2), (3?/2, 5?/2), and (5?/2, 7?/2).In each case, state the direction in which the curve is generated as ? increases.b. Show that on any interval (n? /2, (n + 2)?/2), where n is an odd integer, the graph is the vertical line x = 2.

Solution 75EStep 1:In this problem we need to graph the polar curve r = 2 sec .a. Graph the curve on the intervals (/2, 3/2), (3/2, 5/2), and (5/2, 7/2).In each case, state the direction in which the curve is generated as increases.The graph of the curve on the intervals (/2, 3/2), (3/2, 5/2), and (5/2, 7/2) is drawn below The graph will be same for all intervals.