Find an equation for the tangent plane and parametric equations for the normal line to the surface at Point P:

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{:[z=x^(2)+y^(2)","P(-1","2","5)],[" Let "F(x","y","z)=x^(2)+y^(2)-z=0],[quad grad F=(2x","2y","-1)],[grad F(-1","2","5)=(2(-1)","2(2)","-1)=(-2","4","-1)]:}CS Scanned with CamScanneEquation of tangent Plane is{:[f_(x)(x_(0),y_(0),z_(0))(x-x_(0))+f_(y)(x_(0),y_(0),z_(0))(y-y_(0))+f_(z)(x_(0) ... See the full answer