Explore BrainMass
Share

Equation of a Tangent Plane and Area of a Surface

This content was STOLEN from BrainMass.com - View the original, and get the solution, here!

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.

© BrainMass Inc. brainmass.com September 26, 2018, 10:35 am ad1c9bdddf - https://brainmass.com/math/partial-differential-equations/equation-tangent-plane-area-surface-126905

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

(1) 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.
the tangent plane to the parametric ...

Solution Summary

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

$2.19