Consider the following region Rand 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. - 2:0 : Ris the region bounded by y = sin x and y=0, for Osxs. a. The two-dimensional curl is (Type an exact answer.) b. Set up the integral over the region R. dy dx (Type exact answers.) Write the line integral for the y =0 boundary. dt (Type an exact answer.) Write the line integral for the y = sin x boundary. dt (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.

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