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Math Help - More Parametric

  1. #1
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    More Parametric

    Use the parametric equations of the ellipse x=5cos(theta), y=7sin(theta) to find the area enclosed by the ellipse for
    (-5*radical 3)/2, less than or equal to x, less than or equal to (5*radical 3)/2


    Find the length of the curve:

    x=e^(2t)*cos(2t)
    y=e^(2t)*sin(2t)
    0 less than or equal to t less than or equal to Pi/2

    Again, I got answers but I'm not sure if they're right. I think they're wrong.
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  2. #2
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    Quote Originally Posted by thegame189 View Post
    Use the parametric equations of the ellipse x=5cos(theta), y=7sin(theta) to find the area enclosed by the ellipse for
    (-5*radical 3)/2, less than or equal to x, less than or equal to (5*radical 3)/2


    Find the length of the curve:

    x=e^(2t)*cos(2t)
    y=e^(2t)*sin(2t)
    0 less than or equal to t less than or equal to Pi/2

    Again, I got answers but I'm not sure if they're right. I think they're wrong.
    It would help in troubleshooting your difficulties if you showed your working.
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  3. #3
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    For the first one, I got that I needed to integrate from -pi/6 to pi/6 with the integral 7sin(theta)5sin(theta).

    I have to multiply by two to get both sides of the ellipses, so it's 70*integral of sin^2 (theta). I then turned that into 35*the integral 1 - cos(2theta). I integrated that into 35*(theta - (1/2)sin(2theta) and then plugged in the -pi/6 and pi/6.

    What I got wasn't correct according to the homework answer.
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