Let Fi(x,y) = cityj and F2(x, y) = -yi + xj be two vector fields defined on R', i.e., the r - y plane. Let the parametrization for a curve C be r(t) = 2 sin(t) i + 2 cos(t) j. (a) Sketch Fi and F2 separately on the r - y plane. Sketch the curve C on both drawings and draw one arrow on the curve to indicate its direction of motion. The representative points for drawing the vector fields are: (11, 0), (0, 41), (1 12, v2), 2 , 1V2 ) (12, 0), (0, 12), (4V/2, v2), (v2, 1V/2); (14, 0), (0, 14), (12, 2), (2, 12). The lengths of the vectors do not need to be exact, but you do need to show the difference in the lengths of the vectors. I.e., the length of the vectors should not be the same if the actual lengths are not the same. (b) Calculate the circulation over the simple closed curve C for both vector fields. Are the circu- lations positive, negative, or zero? Explain why. (c) Calculate the flux across the simple closed curve C for both vector fields. Are the fluxes posi- tive, negative, or zero? Explain why