Thomas Calculus 13th [Solutions]

854 Chapter 11 Parametric Equations and Polar Coordinates
39.
r
25 5
10 2
5
10
1
2
25 r
10 5cos 1 cos 1 cos
e 1
2 , k 5 x 5; 2
a 1 e ke
2
a 1 1 5 3 a 5 a 10 ea 5
2 2 4 2 3 3
40. r 4 r 2 e 1, k 2 x 2
2 2cos 1 cos
41.
400
16
8 1
16
2
r 400 r r 25
16 8sin 1 sin 1 sin
e 1 , 50 50;
2 k y 2
a 1 e ke
2
a 1 1 25 3 a 25 a 100 ea 50
2 4 3 3
42. r 12 r 4 e 1, k 4 y 4 43. r 8 r 4
3 3sin 1 sin
2 2sin 1 sin
e 1, k 4 y 4
44. r 4 r 2 e 1 , k 4 y 4;
2 sin 1
1
sin 2
2 1
2
a 1 e ke a 1 2
2
3 a 2 a 8 ea 4
4 3 3
2
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