hw101 - 10.1 Pages 512-513 1-27 odd 1 y2 = 4x 4p = 4 p =1...

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10.1 Pages 512-513 # 1-27 odd 1. 2 4 yx = 44 1 pp =→ = Focus at () 1, 0 Directrix: 1 x =− 7. 222 62 0 2 6 3 x y x y =→ = → = 43 3 / 4 = →= Focus at 3 0, 4    Directrix: 3 4 y = 9. If the parabola has a focus at ( ) 2,0 , then it opens to the right and 2 p = . 2 8 = 11. If the parabola has a directrix at 20 y = , then it opens downward, and 2 p = . 2 8 x y = − 3. 2 12 x y 41 2 3 = Focus at 0, 3 Directrix: 3 y = 13. If the parabola has a focus at ( ) 4,0 , then it opens to the left, and 4 p = . 2 16 5. 2 = 1 / 4 Focus at 1 , 0 4 Directrix: 1 4 x = 15. The parabola has a vertex at the origin and the axis (line of symmetry) is the x- axis, and it passes through the point ( ) 3, 1 . So, the equation has the form 2 yc x = . We then have () ( ) 2 13 1 3 1 / 3 cc c −= = . So, 2 1 3 = .
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17. The parabola passes through () 6, 5 with a vertex at the origin and axis along the y- axis. So, the equation has the form 2 x cy = . We then have 2 (6) 5 36 5 36/5 cc c =− . So, 2 36 5 x y = 21. 2 22 2 '' x yx y y x = →= = At ( ) 4,8 , 4 y ′ = . Tangent: 84 4 4 8 y x = Normal: 11 9 44 y x = + 19. 2 16 2 16 ' 8/ y y yy =→ = = At 1, 4 , –2. y ′ = . Tangent: 42
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hw101 - 10.1 Pages 512-513 1-27 odd 1 y2 = 4x 4p = 4 p =1...

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