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Homework Help: Conics Problem Part 2

  1. Jun 12, 2008 #1
    1. The problem statement, all variables and given/known data
    This is the second page.
    http://img116.imageshack.us/img116/7519/arch2iq9.jpg [Broken]​
    [/URL]


    2. Relevant equations
    Formulas on picture above.


    3. The attempt at a solution
    I'am just wondering if everything looks fine.
     
    Last edited by a moderator: May 3, 2017
  2. jcsd
  3. Jun 12, 2008 #2
    part (i) is correct.
    For part (ii), I don't think that's how you would solve for b. There's a formula to solve for b. [tex]b^2=c^2-a^2[/tex] where c is your focii and a is the distance from your center (0,30) to the vertex of the hyperbola. a=10, c=30, then b=?
     
  4. Jun 13, 2008 #3
    Whoops, I realized that the problem is using a different form of the vertical hyperbola instead of [tex]\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1[/tex], so in this case I switched a and b around.

    In this problem, where b=10(the distance from center to vertex of hyperbola) is correct.
     
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