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Find an Equation of the Tangent Plane to the Surface r(u,v)=(u+v)i+ucosvj+vsinuk\mathbf { r } ( u , v ) = ( u + v ) \mathbf { i } + u \cos v \mathbf { j } + v \sin u \mathbf { k }

Question 184

Essay

Find an equation of the tangent plane to the surface given by r(u,v)=(u+v)i+ucosvj+vsinuk\mathbf { r } ( u , v ) = ( u + v ) \mathbf { i } + u \cos v \mathbf { j } + v \sin u \mathbf { k } at the point (1,1,0)( 1,1,0 ) .

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