2. Let R = (x, y, z) and r = |R||. Find the work done in moving an object from a distance a to a distance b in the force field F = R/73.5. (a) Use Stokes' theorem to calculate the circulation of the vector field F around the curve C. That is, find f, F . dr when F = (y2 + 22) i+ (x2 + 22) j+ (x2 + y?) k and C is the boundary of the triangle cut from the plane r + y + z = 1 by the first octant. The curve C' is oriented counterclockwise when viewed from above. (b) Use Stokes' Theorem to calculate as when V x F dS when F = (3y, 5 - 2x, =2 - 2). S is parameterized by r(r,0) = (r cos 0, rsin 0,5 - r) with 0