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Find the Equation for the Plane Tangent to the Parametrized

Question 69

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Find the equation for the plane tangent to the parametrized surface S at the point P.
-  S is the cylinder r(θ,z)=8cosθi+8sinθj+zk;P is the point corresponding to (θ,z)=(π2,3)\text { S is the cylinder } r ( \theta , z ) = 8 \cos \theta \mathbf { i } + 8 \sin \theta \mathbf { j } + \mathrm { zk } ; \mathrm { P } \text { is the point corresponding to } ( \theta , \mathrm { z } ) = \left( \frac { \pi } { 2 } , 3 \right) \text {. }

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