$(30pts)$ Consider the surface $denebyx2y2z2=4,$ and a point $P(321)on$ the surface $(a)$ Find the $x$ and $y$ directional tangent lines $to$ the surface $at$ the point $P.(b)$ Find $an$ equation for the tangent plane $to$ the surface $at$ the point $P.(c)$ Find a line normal $to$ the surface $at$ the point $P$

$(30pts)$ Consider the surface define $by{x}^2-y^2-z^2=4,$ and a point $P(3,2,1)on$ the surface

$(a)$ Find the $x$ and $y$ directional tangent lines $to$ the surface $at$ the point $P.$

$(b)$ Find $an$ equation for the tangent plane $to$ the surface $at$ the point $P.$

$(c)$ Find a line normal $to$ the surface $at$ the point $P.$