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Thread: Finding the limit

  1. October 20th 2009, 06:37 PM #1
    igodspeed
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    Finding the limit

    Hello,
    This is a question from a past exam. Any help would be appreciated. What does x(t) and y(t) mean here?
    Thanks
    Attached Thumbnails Attached Thumbnails Finding the limit-big-problem.jpg  
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  2. October 20th 2009, 06:41 PM #2
    mr fantastic
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    Quote Originally Posted by igodspeed View Post
    Hello,
    This is a question from a past exam. Any help would be appreciated. What does x(t) and y(t) mean here?
    Thanks
    x(t) means that x is a function of t. Ditto y(t). They are parametric equations of a curve.
    Last edited by mr fantastic; October 20th 2009 at 07:02 PM.
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  3. October 20th 2009, 06:48 PM #3
    igodspeed
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    If i had to solve just the first part, how would i solve it.
    Last edited by mr fantastic; October 20th 2009 at 07:03 PM.
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  4. October 20th 2009, 06:54 PM #4
    mr fantastic
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    Quote Originally Posted by igodspeed View Post
    I don't get why did you say it is wrong? If i had to solve just this, how would i solve it.
    Substitute y = mx and try taking the limit as x approaches 0.
    Last edited by mr fantastic; October 20th 2009 at 07:08 PM.
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  5. October 20th 2009, 06:58 PM #5
    igodspeed
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    What i did was i substituted y for x and so i got x to the power of 4 and on the bottom i have x squared and x to 6 then when i find the limit, the ans is zero. is this wrong? then on the second one i did the same for y as x=y.
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  6. October 20th 2009, 07:02 PM #6
    mr fantastic
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    Quote Originally Posted by igodspeed View Post
    perhaps. But what i did was i substituted y for x and so i got x to the power of 4 and on the bottom i have x squared and x to 6 then when i find the limit, the ans is zero. is this wrong? then on the second one i did the same for y as x=y.
    The question says for ALL lines passing through the origin. You did it for exactly two such lines.
    Last edited by mr fantastic; October 20th 2009 at 08:50 PM.
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  7. October 20th 2009, 08:28 PM #7
    igodspeed
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    ok i solved it. now i got the value for m and n so could can i write it parametically? 2rd question?
    Attached Thumbnails Attached Thumbnails Finding the limit-problem.jpg  
    Last edited by igodspeed; October 20th 2009 at 08:39 PM.
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  8. October 20th 2009, 08:54 PM #8
    mr fantastic
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    Quote Originally Posted by igodspeed View Post
    ok i solved it. now i got the value for m and n so could can i write it parametically? 2rd question?
    What have you done? Have you substituted the expressions for x and y into the function? Simplified? etc.

    Please show all your work and say where you get stuck.
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