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Multivariable CalculusEasySurface Integrals, Stokes & Divergence

Surface Integrals, Stokes & Divergence · Easy problem

The surface z=x2+y2z = x^2 + y^2 is parametrized by r(u,v)=(u,v,u2+v2)\mathbf r(u, v) = (u, v, u^2 + v^2). Find ∣ru×rv∣|\mathbf r_u \times \mathbf r_v| at the point where u=1u = 1, v=1v = 1.