Consider the following region R and the vector field F. a. Compute the two-dimensional curl of the vector field. b. Evaluate both integrals in Green's Theorem and check for consistency. F = (4y, - 3x) ; R is the region bounded by y = sin x and y = 0, for OSX ST. a. The two-dimensional curl is 1. (Type an exact answer.) b. Set up the integral over the region R. sin x J J (1) dy dx 0 (Type exact answers.) Write the line integral for the y = 0 boundary. (1) at (Type an exact answer.) Write the line integral for the y = sin x boundary. at Type an exact answer.) Evaluate these integrals and check for consistency. Select the correct choice below and fill in the answer box(es) to complete your choice. (Type an exact answer.) O A. The integrals are consistent because they both evaluate to o