questions below:

Find the gradient field of the function g(x,y,z) = 3xy + 9yz + 3xz. Vg = (Type your answer in terms of i, j, and k.)Find the work done by F over the curve in the direction of increasing t. F = 2xyi + 3yj - yzk r(t) = ti + taj + tk, Osts 1 Work = (Type an integer or a simplified fraction.)Find the circulation and flux of the field F = xi + y j around and across the closed semicircular path that consists of the semicircular arch r, (t) = (a cost)i + (a sin t)j, 0Stat, followed by the line segment r2 (t) = ti, - astsa. . . . The circulation is . (Type an exact answer, using it as needed.) The flux is . (Type an exact answer, using it as needed.)