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Find an Equation of the Tangent Plane to the Parametric r(u,v)=(u2v2)i+uj+vk\mathbf { r } ( u , v ) = \left( u ^ { 2 } - v ^ { 2 } \right) \mathbf { i } + u \mathbf { j } + v \mathbf { k }

Question 53

Short Answer

Find an equation of the tangent plane to the parametric surface represented by r at the specified point. r(u,v)=(u2v2)i+uj+vk\mathbf { r } ( u , v ) = \left( u ^ { 2 } - v ^ { 2 } \right) \mathbf { i } + u \mathbf { j } + v \mathbf { k } ; (0,3,3)( 0,3,3 )

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