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Find an Equation of the Tangent Plane to the Surface x=cosusinvx = \cos u \sin v

Question 33

Essay

Find an equation of the tangent plane to the surface with parametric equations x=cosusinvx = \cos u \sin v , y=sinusinvy = \sin u \sin v , z=cosvz = \cos v at the point (12,12,12)\left( \frac { 1 } { 2 } , \frac { 1 } { 2 } , \frac { 1 } { \sqrt { 2 } } \right) .

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