Thomas Calculus 13th [Solutions]

822 Chapter 11 Parametric Equations and Polar Coordinates
23. 24. 25.
26.
27. r cos 2 x 2, vertical line through (2, 0) 28. r sin 1 y 1, horizontal line through (0, 1)
29. r sin 0 y 0, the x -axis
30. r cos 0 x 0, the y-axis
31. r 4 csc r
4
r sin 4 y 4, a horizontal line through (0, 4)
sin
32. r 3 sec r
3
r cos 3 x 3, a vertical line through ( 3, 0)
cos
33. r cos r sin 1 x y 1, line with slope m 1 and intercept b 1
34. r sin r cos y x , line with slope m 1 and intercept b 0
35.
2 2 2
r 1 x y 1, circle with center C (0, 0) and radius 1
36.
2 2 2 2 2 2 2
r 4r sin x y 4y x y 4y 4 4 x ( y 2) 4, circle with center C (0, 2)
and radius 2
37. r
5
r sin 2r cos 5 y 2x 5, line with slope m 2 and intercept b 5
sin 2cos
38.
2 2
r sin 2 2 2r sin cos 2 ( r sin )( r cos ) 1 xy 1, hyperbola with focal axis y x
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