Question: 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

Consider the polar curve r = 2 sec θ.
a. Graph the curve on the intervals (π/2, 3π/2), (3π/2, 5π/2), and (5π/2, 7π/2). In each case, state the direction in which the curve is generated as θ increases.

b. Show that on any interval (nπ/2, (n + 2)π/2), where n is an odd integer, the graph is the vertical line x = 2.

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