(a) Solve the following Initial Value Problem: dx 3t- + sec-t x(0) =5. (6) dt 3x- 4 (b) If z = cos(xy)+ ycosx, where x=u' tv and y=uv. Use the Chain Rule for partial derivatives to find (5) Ou (c) Let F(x,y)=2y -3xy + cot(xy? ). (i) Find the first partial derivatives F, and Fy (4) (ii) Using (c) (i) above, find dy (4) dx (ii) If F(x, y)=0, then find dy using implicit differentiation to confirm your dx answer in part (c)(ii) above. (6)