Hw102 - 10.2 Page 521 1-23 odd 31-39 odd 1 3 5 7 x2 y2 =1 9 4 is a horizontal ellipse 2 2 x y =1 9 4 is a vertical hyperbola x2 y =0 9 4 is a

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10.2 Page 521 # 1-23 odd, 31-39 odd 1. 22 1 94 xy += is a horizontal ellipse. 3. 1 is a vertical hyperbola. 5. 2 0 is a vertical parabola. 7. 9 1 19 / 4 + = is a vertical ellipse. 11. 1 49 yx = is a vertical hyperbola 2 a = , 3 b = 222 2 23 13 13 abc c cc →=→ = Vertices: ( ) 0, 2 ± Foci: ( ) 0, 13 ± Asymptotes: 2 3 9. 1 16 4 is a horizontal ellipse. 4 a = , 2 b = 2 42 12 2 3 c =+ = Vertices: () 4,0 ± Foci: , 0 ± 13. 1 28 + = is a vertical ellipse a = , 2 b = ( ) 2 2 2 66 c = + →= = Vertices: (0, 2 2) ± Foci: ( ) 6 ±

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23. A hyperbola with () 0, 4 V and ( ) 0, 5 F is a vertical hyperbola with 4 a = and 5 c = . 25 16 3 b = −= 22 1 16 9 yx = 15. 1 10 4 xy is a horizontal hyperbola 10 a = , 2 b = 2 222 2 10 2 14 14 abc c cc += →=→ = Vertices: 10, 0 ± Foci: 14, 0 ± Asymptotes: 2 10 17. An ellipse with 3, 0 F and ( ) 6,0 V is a horizontal ellipse with 6 a = and 3 c = . 36 9 27 b =− = 1 36 27 31. A figure with the sum of the distances from ( ) 0, 9 ± is 26 is an ellipse whose foci are ( ) 0, 9 ± and whose major diameter has length 6 a = . Since the foci are on the y -axis, it is the major axis
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This note was uploaded on 02/25/2010 for the course MATH 201 taught by Professor Kim during the Spring '07 term at SIU Carbondale.

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Hw102 - 10.2 Page 521 1-23 odd 31-39 odd 1 3 5 7 x2 y2 =1 9 4 is a horizontal ellipse 2 2 x y =1 9 4 is a vertical hyperbola x2 y =0 9 4 is a

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