I need help with all of these so if you could please label the number and work.
Complete the following on a separate sheet(s) of paper. Organize your work neatly and clearly mark your solutions. 1. Let F(x,y, z)=(e'siny)i-(excosy)/+2k. Calculate the divergence ofF at the point (In 2÷1) 2. LetF(x, y, z)=x'i + yj+zk. Calculate the curl Fat the point (1,1,1). 3. Let F(x,y) sin yi+xcos yj. Find the potential function of F 4. Determine if the following vector field is conservative. F(x, y) i + 1+ xy + xy 5. Let C be the curve represented by r(t) = 4ti +3,for 0 StS 1 . Find hyds 6. Let F(x,y)-(x-yi+(+ y)j. Find the work done by the force F on an object 7. Use the Fundamental Theorem of Line Integrals to evaluate 8. Evaluate f, cos ydk +(xy -rsin )dy where C is the boundary of the region lying moving along the curve C: 4costi+3sin tj, 0sSIS2 2xydzydy where C is a smooth curve from (5,0) to (0,4). between the graphs of y = x and y-JX