I am to find the part of the plane 2x+5y+z=10 that lies inside the cylinder
I'm not sure how to start, and this is all i need help with. Do i parametrize the cylinder?
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Using cylindrical coordinates, we know that and
Substituting all this for x and y after isolating z in the equation of the plane we get,
which simplifies to
Hope that helps!
Last edited by Jen; Apr 17th 2008 at 07:07 PM.
Reason: ooops :)
i think its , but i'm confused as to how to use this, since we only have an equation for dS in cartesian coordinates =>
Right, now that I have figured out what we are doing. is the surface area.
so we get
since we want only the area inside the circle we convert the integral to polar coordinates
Hope that helps!!
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