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5. Consider a particle moving counter-clockwise around the ellipse

x^9/9 +y^2/4 = 1. Find a relationship
between
dy/dt
and
dx/dt
What are the rates of change of y and x at the times when the other variable isn't .
changing at all?

Question ID
524069

Created
April 1, 2011 11:26pm UTC

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0

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https://questions.llc/questions/524069

Answers
3

Views
377

3 answers

  1. x^2/9 + y^2/4 = 1
    or
    4x^2 + 9y^2 = 36
    8x dx/dt + 18y dy/dt = 0
    so
    dy/dt = - 8x dx/dt / 18y

    and dy\x/dt : dx/dt = 4x : -9y

    Just think about your last part of the question.

    Suppose the x is not changing at all, which would mean of course that dx/dt = 0
    what do you think would happen to y ?

    Answer ID
    524088

    Created
    April 2, 2011 12:50am UTC

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  2. if dx/dt = 0 then y should also be zero

    Answer ID
    524311

    Created
    April 2, 2011 7:55pm UTC

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  3. @ reiny if dx/dt = 0 then y should also be zero

    Answer ID
    524312

    Created
    April 2, 2011 7:55pm UTC

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