Question

Find equations of the tangent plane and normal line to the surface at the given point. z^{2}=x^{2}-y^{2} \text { at }(37,12,35) \text { Tangent Plane: }-74(x-37)+24(y-12)+70(z-35)=0 \text { Normal Line:

} x=-37+74 t, y=-12-24 t, z=-35-70 t \text { Tangent Plane: } 74(x-37)-24(y-12)-70(z-35)=0 \text { Normal Line: } x=37+74 t, y=12-24 t, z=35-70 t \text { Tangent Plane: }-74(x+37)+24(y-12)+70(z-35)=0 \text { Normal Line: } x=-37+74 t, y=-12-24 t, z=-35-70 t \text { Tangent Plane: 74(x+37)-24(y-12)-70(z-35)=0} \text { Normal Line: } x=37+74 t, y=12-24 t, z=35-70 t

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