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Equation of a Tangent Plane and Area of a Surface

Write an equation of the plane tangent to the surface S given by x = u^2 + v, y = u + v^2, z = uv, ((u,v)?R^2) at the point P with u = 2, v = 1.

Find the area of the surface z = 3sqrt(x^2 + y^2), y >= 0, 0 <= z <= 6.

Solution Summary

The equation of a tangent plane and area of a surface are found. The solution is detailed and well presented.