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Tangent plane

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Find an equation of the tangent plane to the given parametric surface at the specified point.

1.) r(u,v)= (u+v)i + ucos(v)j + vsin(u)k; (1,0,0)

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Please see the attached file.

1.) r(u,v)= (u+v)i + ucos(v)j + vsin(u)k; (1,0,0)
ru(u, v) = i + cos(v) j + v cos(u) k
rv(u, v) = i - u sin (v) ...

Solution Summary

This provides an example of finding an equation of a tangent plane.