Explain why or why not Determine whether the
Chapter 10, Problem 61(choose chapter or problem)
Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. a. The point with Cartesian coordinates 1-2, 22 has polar coordinates 1212, 3p>42, 1212, 11p>42, 1212, -5p>42, and 1-212, -p>42. b. The graphs of r cos u = 4 and r sin u = -2 intersect exactly once. c. The graphs of r = 2 and u = p>4 intersect exactly once. d. The point 13, p>22 lies on the graph of r = 3 cos 2u. e. The graphs of r = 2 sec u and r = 3 csc u are lines. 6
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