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Pre-Calc Homework Solutions 462

Pre-Calc Homework Solutions 462 - 462 Appendix A5.2 4)2 y2...

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14. Using PF 5 e ? PD , we have ˇ ( x w 2 w 4 w ) 2 w 1 w y w 2 w 5 } 2 3 } ) x 2 9 ) ( x 2 4) 2 1 y 2 5 } 4 9 } ( x 2 9) 2 x 2 2 8 x 1 16 1 y 2 5 } 4 9 } ( x 2 2 18 x 1 81) } 5 9 } x 2 1 y 2 5 20 5 x 2 1 9 y 2 5 180 or } 3 x 6 2 } 1 } 2 y 0 2 } 5 1. 15. 9 x 2 2 16 y 2 5 144 } 1 x 6 2 } 2 } y 9 2 } 5 1 c 5 ˇ a w 2 w 1 w b w 2 w 5 ˇ 1 w 6 w 1 w 9 w 5 5 e 5 } a c } 5 } 5 4 } ; asymptotes are y 5 6 } 3 4 } x ; F ( 6 5, 0); directrices are x 5 0 6 } a e } 5 6 } 1 5 6 } . 16. y 2 2 x 2 5 8 } y 8 2 } 2 } x 8 2 } 5 1 c 5 ˇ a w 2 w 1 w b w 2 w 5 ˇ 8 w 1 w 8 w 5 4 e 5 } a c } 5 } ˇ 4 8 w } 5 ˇ 2 w ; asymptotes are y 5 6 x ; F (0, 6 4); directrices are y 5 0 6 } a e } 5 6 } ˇ ˇ 8 w 2 w } 5 6 2 17. 8 x 2 2 2 y 2 5 16 } x 2 2 } 2 } y 8 2 } 5 1 c 5 ˇ a w 2 w 1 w b w 2 w 5 ˇ 2 w 1 w 8 w 5 ˇ 1 w 0 w e 5 } a c } 5 } ˇ ˇ 1 w 2 w 0 w } 5 ˇ 5 w ; asymptotes are y 5 6 2 x ; F ( 6 ˇ 1 w 0 w , 0); directrices are x 5 0 6 } a e } 5 6 } ˇ ˇ 2 w 5 w } 5 6 } ˇ 2 1 w 0 w } 18. 8 y 2 2 2 x 2 5 16 } y 2 2 } 2 } x 8 2 } 5 1 c 5 ˇ a w 2 w 1 w b w 2 w 5 ˇ 2 w 1 w 8 w 5 ˇ 1 w 0 w e 5 } a c } 5 } ˇ ˇ 1 w 2 w 0 w } 5 ˇ 5 w ; asymptotes are y
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