Find the Equation for the Plane Tangent to the Parametrized

question 90

Essay

Find the equation for the plane tangent to the parametrized surface S at the point P.
- $$\mathrm { S } \text { is the paraboloid } r ( \theta , r ) = r \cos \theta i + r \sin \theta j + 5 r ^ { 2 } \mathbf { k } ; \mathrm { P } \text { is the point corresponding to } ( \theta , r ) = \left( \frac { \pi } { 4 } , 1 \right) \text {. }$$

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