Pre-Calc Homework Solutions 457

Pre-Calc Homework Solutions 457 - Appendix A5.1 3. Complete...

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Unformatted text preview: Appendix A5.1 3. Complete the squares. x 2 y 2 4x 4y 4 0 x 2 4x 4 y 2 4y 4 4 (x 2)2 (y 2)2 22 Center ( 2, 2); radius 2 y 457 13. x2 2 y2 1c 2, 0) 2 1 1 foci are ( 1, 0); vertices are ( 14. y2 4 x2 1c 4 1 5 foci are (0, 2x 5); vertices are (0, 4 2); asymptotes are y 12 p 15. y 2 2 12x 4p 3 y 4 3; focus is (3, 0), directrix is x 2 x 4 2 y 2 = 12x F 4. Complete the squares. x 2 y 2 4x 4y 0 x 2 4x 4 y 2 4y 4 8 (x 2)2 (y 2)2 (2 2)2 Center (2, 2); radius 2 2 y 5 x = 3 4 2 2 2 2 4 4 x 16. y 5 x 4x 2 x 2 1 y 4p 4 1 p 4 1 16 1 ; 16 focus is 0, 1 , directrix is y 16 y 5. The circle with center at (1, 0) and radius 2 plus its interior. 6. The region exterior to the unit circle and interior to the circle with center at (0, 0) and radius 2. 7. y 2 8x 4p 8p 2 4p 1; focus is ( 1, 0), 17. 16x 2 6p 3 ; focus is 0, 2 3 , 2 1 4 1 4 1 8 y = 4x2 F 1 4 2; focus is (2, 0), y= 1 16 1 8 1 4 x directrix is x 8. y 2 4x 4p 1 directrix is x 9. x 2 25y 2 a2 400 b2 x2 25 y2 16 1 3 6y 4p 3 2 c 25 16 foci are ( 3, 0) y directrix is y 10. x 2 2y 4p 2p 1 2 1 1 ; focus is 0, , 2 2 2 F1 F2 2 2 4 directrix is y x2 11. 4 y2 9 1c 4 9 13 4 2 x foci are ( asymptotes are y 12. x2 4 y2 9 13, 0); vertices are ( 2, 0); 3 x 2 1c 3) 9 4 5 foci are (0, 5); vertices are (0, ...
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