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How can I calculate the surface area of the portion of a sphere (x^2+y^2+z^2=3) within the paraboloid 2c*z = x^2+y^2? I know how to find the area of a surface in general, but how can I find the region where the paraboloid intersects with the sphere?
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Get it to two dimensions, set both equations to z and then you can begin to attack it as a Cal I problem.
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