1. stupid volume problem

Find the area of the portion of the plane 2x−2y+z = 1 inside the cylinder x^2+y^2 = 4.

dont you need 2 planes to find out the area between them or else the cylinder goes to infinity in one direction?

2. You're thinking of volume; it's asking for area. The plane has a portion (which will be an ellipse) inside the (infinite) cylinder, and you're being asked for the area of that.

--Kevin C.

3. ok well my final is in 2 hrs, any idea on how to do that?

4. Originally Posted by Dubulus
ok well my final is in 2 hrs, any idea on how to do that?
$x = 2 \sin t$
$y = 2 \cos t$
$z = 1 - 2x + 2y = 1 - 4 \sin t + 4 \cos t$
where $0 \leq t < 2 \pi$.