Calculus: One and Several Variables

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
P1: PBU/OVY P2: PBU/OVY QC: PBU/OVY T1: PBU JWDD027-10 JWDD027-Salas-v1 December 2, 2006 16:41 524 SECTION 10.1 CHAPTER 10 SECTION 10.1 1. y = 1 2 x 2 vertex (0 , 0) focus (0 , 1 2 ) axis x =0 directrix y = 1 2 2. y = 1 2 x 2 vertex (0 , 0) focus (0 , 1 2 ) axis x directrix y = 1 2 x y x y 3. y = 1 2 ( x 1) 2 vertex (1 , 0) focus (1 , 1 2 ) axis x =1 directrix y = 1 2 4. y = 1 2 ( x 1) 2 vertex (1 , 0) focus (1 , 1 2 ) axis x directrix y = 1 2 1 x y 1 x y 5. y +2= 1 4 ( x 2) 2 vertex (2 , 2) focus (2 , 1) axis x =2 directrix y = 3 6. y 2= 1 4 ( x +2) 2 vertex ( 2 , 2) focus ( 2 , 3) axis x = 2 directrix y 2 x y -2 x y
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
P1: PBU/OVY P2: PBU/OVY QC: PBU/OVY T1: PBU JWDD027-10 JWDD027-Salas-v1 December 2, 2006 16:41 SECTION 10.1 525 7. y = x 2 4 x vertex (2 , 4) focus (2 , 15 4 ) axis x =2 directrix y = 17 4 8. y = x 2 + x +1 vertex ( 1 2 , 3 4 ) focus ( 1 2 , 1) axis x = 1 2 directrix y = 1 2 2 x y 1 2 x y 9. x 2 9 + y 2 4 =1 center (0,0) foci ( ± 5 , 0) length of major axis 6 length of minor axis 4 10. x 2 4 + y 2 9 center (0,0) foci (0 , ± 5) length of major axis 6 length of minor axis 4 11. x 2 4 + y 2 6 center (0,0) foci (0 , ± 2) length of major axis 2 6 length of minor axis 4 12. x 2 4 + y 2 3 center (0,0) foci ( ± 1 , 0) length of major axis 4 length of minor axis 2 3
Background image of page 2
P1: PBU/OVY P2: PBU/OVY QC: PBU/OVY T1: PBU JWDD027-10 JWDD027-Salas-v1 December 2, 2006 16:41 526 SECTION 10.1 13. x 2 9 + ( y 1) 2 4 =1 center (0,1) foci ( ± 5 , 1) length of major axis 6 length of minor axis 4 14. x 2 + ( y 3) 2 4 center (0,3) foci (0 , 3 ± 3) length of major axis 4 length of minor axis 2 15. ( x 1) 2 16 + y 2 64 center (1,0) foci (1 , ± 4 3) length of major axis 16 length of minor axis 8 16. ( x 2) 2 25 + ( y 3) 2 16 center (2,3) foci (5 , 3) ( 1 , 3) length of major axis 10 length of minor axis 8 17. x 2 y 2 center (0,0) transverse axis 2 vertices ( ± 1 , 0) foci ( ± 2 , 0) asymptotes y = ± x 18. y 2 x 2 center (0,0) transverse axis 2 vertices (0 , ± 1) foci (0 , ± 2) asymptotes y = ± x
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
P1: PBU/OVY P2: PBU/OVY QC: PBU/OVY T1: PBU JWDD027-10 JWDD027-Salas-v1 December 2, 2006 16:41 SECTION 10.1 527 19. x 2 9 y 2 16 =1 center (0,0) transverse axis 6 vertices ( ± 3 , 0) foci ( ± 5 , 0) asymptotes y = ± 4 3 x 20. x 2 16 y 2 9 center (0,0) transverse axis 8 vertices ( ± 4 , 0) foci ( ± 5 , 0) asymptotes y = ± 3 4 x 21. y 2 16 x 2 9 center (0,0) transverse axis 8 vertices (0 , ± 4) foci (0 , ± 5) asymptotes y = ± 4 3 x 22. y 2 9 x 2 16 center (0,0) transverse axis 6 vertices (0 , ± 3) foci (0 , ± 5) asymptotes y = ± 3 4 x 23. ( x 1) 2 9 ( y 3) 2 16 center (1,3) transverse axis 6 vertices (4 , 3) and ( 2 , 3) foci (6 , 3) and ( 4 , 3) asymptotes y 3= ± 4 3 ( x 1) 24. ( x 1) 2 16 ( y 3) 2 9 center (1,3) transverse axis 8 vertices (5 , 3) and ( 3 , 3) foci (6 , 3) and ( 4 , 3) asymptotes y = ± 3 4 ( x 1)+3
Background image of page 4
P1: PBU/OVY P2: PBU/OVY QC: PBU/OVY T1: PBU JWDD027-10 JWDD027-Salas-v1 December 2, 2006 16:41 528 SECTION 10.1 25. ( y 3) 2 4 ( x 1) 2 1 =1 center (1 , 3) transverse axis 4 vertices (1 , 5) and (1 , 1) foci (1 , 3 ± 5) asymptotes y 3= ± 2( x 1) 26. ( x +1) 2 y 2 3 center ( 1 , 0) transverse axis 2 vertices (0 , 0) and ( 2 , 0) foci (1 , 0) and ( 3 , 0) asymptotes y = ± 3( x 27. We can choose the coordinate system so that the
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/30/2011 for the course MATH 1431 taught by Professor Any during the Spring '08 term at University of Houston.

Page1 / 64

ch10[1] - P1: PBU/OVY JWDD027-10 P2: PBU/OVY...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online