example of integration with respect to surface area of a paraboloid

In this example we examine the paraboloid given by the equation z=x2+3y2. Putting g(x,y)=x2+3y2, we have


and hence

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Title example of integration with respect to surface areaMathworldPlanetmath of a paraboloid
Canonical name ExampleOfIntegrationWithRespectToSurfaceAreaOfAParaboloid
Date of creation 2013-03-22 14:58:20
Last modified on 2013-03-22 14:58:20
Owner yark (2760)
Last modified by yark (2760)
Numerical id 15
Author yark (2760)
Entry type Example
Classification msc 28A75