1. Let F(x, y,z) = z e*+y i +ze**Yj+ z cos (zn) k bea vector field. Then 1. Determine whether F is conservative or isn't? Why. 2. Find a function of several variables f such that Vf = F. 3. Evaluate the work done by F that changes the position of a particle p along a curve C from the point (0,0,1) to the point (In 2, In 2,2). Q2. Write down a smooth parameterization of the helix rotates counter clockwise orientation around the line y 1 and has a radius r= 3 and a center ( 2, 1, 3). Q3. Find the work done by the force field F(x,y) = (e*-y')i + (cos y + y)i on a particle that travels once around the unit circle x? + y? = 1 in the counterclockwise.