Question $2(10$ points$)$

Given the equation $of$ the surface $x^2+y^2-2xy-x+3y-z+4=0$ and $a$

point $P_0(2,-3,18)on$ the surface:

$i.$ Find the equation $of$ the tangent plane $to$ the given surface $at{P}_0.$

$ii.$ Find the derivative $ofF(x,y,z)=0at{P}_{0}in$ the direction $of$ vec$(v)=($:$3,6,-2$:$).$