(10 points) Compute using the Chain rule, then evaluate it at i=0 :f=cos(2x)sin(3y),x=t2,y=tt(10 points) Compute the directional derivative of f at the given point in the direction of the given vector:f(x,y)=ln(32x2y2),P(2,1),vec(t)=(-3,4)(10 points) Evaluate the limit, or show that it does not exist.lim(x,3)(4,1)xy-4y2x2-2y2(10 points) Show that the following limit does not exist.lim(x,y)(sin)xycos(y)dx2y2(10 points) Determine the domain of the given function. Draw at least 4 level curves for f(x,y)- Label the legel curvee with the coerespuedline morvaluesf(xy)=2-x3-y32(10 points) Determine the domain of the given function, then slooteh the domatn.f(x,y)=1x3y3-92(10 points) Vorify that fxy-fyx for the following function:f(x,y)=e2rycon(x-3y)(10 points) Find the equation of the tangrat plane to the given aurface at the given point:x=lnx2y22,P(3,4)(10 points) Compute using the Chain rule, then evaluate it at i=0 :f=cos(2x)sin(3y),x=t2,y=tt(10 points) Compute the directional derivative of f at the given point in the direction of the given vector:f(x,y)=ln(32x2y2),P(2,1),vec(t)=(-3,4)