Chapter 17.4, Problem 27E

Green’s Theorem, flux form Consider the following regions R and vector fields F.

  a. Compute the two-dimensional curl of the vector field.

  b. Evaluate both integrals in Green’s Theorem and check for consistency.

27. F = $\langle x,y\rangle$ ; R = {(x, y) : x² + y² ≤ 4}