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Thomas Calculus 13th [Solutions]

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Section 11.6 Conic Sections 841<br />

25. Foci: 2, 0 , Vertices: ( 2, 0) a 2,<br />

2<br />

2 2<br />

2 2 2<br />

y<br />

c 2 b a c 4 2 2 x 1<br />

4 2<br />

26. Foci: (0, 4), Vertices: (0, 5) a 5,<br />

c<br />

2<br />

2 y<br />

4 b 25 16 9 x 1<br />

9 25<br />

2<br />

27.<br />

2 2 2 2<br />

x y 1 c a b 1 1 2;<br />

asymptotes are y x<br />

28.<br />

2 2<br />

2<br />

x y<br />

2 2<br />

16 9<br />

9x 16y 144 1 c a b<br />

16 9 5; asymptotes are y<br />

3<br />

x<br />

4<br />

2<br />

29.<br />

2 2<br />

2 2 y<br />

2 2<br />

8 x 1<br />

8 8<br />

y x c a b<br />

8 8 4; asymptotes are y x<br />

30.<br />

2 2<br />

2 2 y<br />

2 2<br />

4 x 1<br />

4 4<br />

y x c a b<br />

4 4 2 2; asymptotes are y x<br />

31.<br />

2 2<br />

2 y<br />

2 2<br />

8x 2y 16 x 1 c a b<br />

2 8<br />

2 8 10; asymptotes are y 2x<br />

2<br />

32.<br />

2<br />

2 2 y 2 2 2<br />

3 3 1<br />

3<br />

y x x c a b<br />

3 1 2; asymptotes are y 3x<br />

Copyright<br />

2014 Pearson Education, Inc.

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