Parametric Surfaces and their Areas

dancingmonkey
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Homework Statement



Find the area of the part of the plane 3x + 5y + z = 15 that lies inside the cylinder x^2 + y^2 = 25.


Homework Equations



A=∫∫(√1+(dz/dx)^2+(dz/dy)^2) dA

The Attempt at a Solution


my bounds were r=0 to 5 and theta=0 to 2pi

∫∫√1 + (-3)^2 + (-5)^2 dA
=∫∫√35 dA


Is this right so far?
 
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It's right so far.
 

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