(60 points) Convert the complex number into its polar representation 2-2√3 i

(A). 2(cos 240° + i sin 240°)

(B). 4(cos 300° + i sin 300°)

(C). -4(cos 120° + i sin 120°)

(D). 4√3 (cos 60° + i sin 60°)

Find a parametrization for the curve「and determine the work done on a particle moving along γ in r3 through the force field f: r^3--r^3'where f(x,y,z) = (1,-x,z) and (a) im (γ) is the line segment from (0,0,0) to (1,2,1) (b) im (γ) is the polygonal curve with successive vertices (1,0,0), (0,1,1), and (2,2,2) (c) im (γ) is the unit circle in the plane z = 1 with center (0,0,1) beginning and ending at (1,0,1), and starting towards (0,1,1)