Math Problem Statement
Integrate G(x,y,z)=z-x over the portion of the graph of z=x+(3y^2) that lies above the triangle in the xy-plane having vertices (0,0,0), (1,1,0), and (0,1,0).
Solution
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Math Problem Analysis
Mathematical Concepts
Surface integrals
Parameterization of surfaces
Cross product of vectors
Formulas
Surface element in parametric form
Theorems
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Suitable Grade Level
Advanced undergraduate or graduate level
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