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Parametric Equations and integrals that represent volumes

  • Thread starter peterpam89
  • Start date
  • #1

Homework Statement



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.

Homework 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.

The Attempt at a Solution



Eek. I don't really know where to even start with this problem... any ideas?
 

Answers and Replies

  • #2
699
5
You could try x(t)=2+2*cost and y(t)=sint
 

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