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Thomas Calculus 13th [Solutions]

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Section 11.6 Conic Sections 839<br />

9.<br />

2<br />

2<br />

y<br />

y 12x x 4 p 12 p 3;<br />

12<br />

focus is (3, 0), directrix is x 3<br />

10.<br />

2<br />

2<br />

x 6y y x 4 p 6 p 3 ;<br />

6 2<br />

focus is 0, 3 , directrix is y 3<br />

2<br />

2<br />

11.<br />

2<br />

2<br />

x 8y y x 4 p 8 p 2;<br />

8<br />

focus is (0, 2), directrix is y 2<br />

12.<br />

2<br />

2 y<br />

y 2x x 4 p 2 p 1 ;<br />

2 2<br />

focus is 1<br />

2 ,0 , directrix is x 1<br />

2<br />

13.<br />

2<br />

2<br />

y 4x y x 4 p 1 p 1 ;<br />

4 16<br />

1<br />

4<br />

focus is 0, 1 , directrix is y 1<br />

16<br />

16<br />

14.<br />

2<br />

2<br />

y 8x y x 4 p 1 p 1 ;<br />

8 32<br />

focus is 0, 1 , directrix is y 1<br />

32<br />

32<br />

1<br />

8<br />

15.<br />

2<br />

2 y<br />

x 3y x 4 p 1 p 1 ;<br />

3 12<br />

1<br />

3<br />

16.<br />

2<br />

2 y<br />

x 2y x 4 p 1 p 1 ;<br />

2 8<br />

1<br />

2<br />

focus is 1<br />

12 , 0 , directrix is x 1<br />

12<br />

focus is 1<br />

8 , 0 , directrix is x 1<br />

8<br />

Copyright<br />

2014 Pearson Education, Inc.

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