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Parametric Equations and integrals that represent volumes

  1. Mar 10, 2010 #1
    1. The problem statement, all variables and given/known data

    A surface S is formed by rotating a quarter ellipse C about the X-axis. Write an integral that represents the volume enclosed by S. the ellipse is represented by two points, (2,1) at which t= pi/2, and (4,0) at which t=0.

    2. Relevant equations

    Ellipse w/radii a,b, in x,y: x= x subscript 0 + a cos (t), y = y subscript 0 + b sin (t)
    Cartesian equation of ellipse.

    3. The attempt at a solution

    Eek. I don't really know where to even start with this problem... any ideas?
  2. jcsd
  3. Mar 10, 2010 #2
    You could try x(t)=2+2*cost and y(t)=sint
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