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