Results 1 to 2 of 2

Thread: 3 problems to prep me for a quiz tomorrow, help appreciated

  1. #1
    May 2008

    3 problems to prep me for a quiz tomorrow, help appreciated

    We're covering conic sections, so far it's just circles ellipses and hyperbolas. I have one question regarding graphs, and two regarding Hyperbolas. I don't have any clue where to start with these, so even just telling me the basic formula would be much obliged.

    Graph the following inequality. X^2-6y^2<36

    I know for this one you just start off diving by 36, getting X squared over 36, and Y squared over 6, but after that I'm lost on how you graph it.

    Give the vertices, foci, and equations of asymptotes for the hyperbola Y^2/16- X^2/81=1

    Find an equation of the hyperbola with foci (0 +/-6) and with a difference of focal radii of 8.

    The last two Im totally stumped on.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Nov 2007

    X^2-6y^2<36 and other hyperbolas

    [(x-h)^2 / a^2] - [(y-k)^2 / b^2] = 1 (or < 1 in this case).
    h and k are both zero in this case.

    Foci: (h +|- c, k)
    Vertices: (h +|- a, k)
    Asymptotes: (y - k) = (+|-b/a)(x-h)

    I have never drawn as an inequality, but it seems clear enough.

    If you hang around, someone might just send a picture generated by software. Otherwise, it seems reasonable to shade parts of the graph that would satisfiy the constraints, and make the boundaries dotted lines.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: Jun 2nd 2010, 07:57 PM
  2. Factoring Polynomials - quiz tomorrow!
    Posted in the Algebra Forum
    Replies: 2
    Last Post: Dec 14th 2008, 02:53 PM
  3. Replies: 4
    Last Post: Dec 9th 2008, 08:29 PM
  4. Derivative Quiz Tomorrow
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Sep 17th 2008, 05:05 AM
  5. Replies: 4
    Last Post: Dec 2nd 2007, 12:03 PM

Search Tags

/mathhelpforum @mathhelpforum