D Question 10 4 pts Let f(x, y) = x2 - 4x + y + 9. Find the absolute maximum and absolute minimum of f(x, y) restricted to the domain 4x2 + 9 in moving a particle along the boundary of the surface S where S is the part of the plane z + y = 6 that lies inside the cylinder x2 + y = 16. Assume S is positively oriented, so C traverses counter-clockwise. O 8pi O 2pi O 16pi O none of these above 4pi 32piD Question 19 4 pts Find the flux of the vector field F = through the half-sphere z = V1 - x2 - 12. O pi O none of these above 4pi O 8pi 3pi O 6pi O 2piQuestion 20 4 pts Compute the flux of the vector field F == through the surface S where S is the surface bounded by / = 2, z = 0, z = 5 in the first octant. Round off answer to 2 decimal places. Hint: if the coordinates are in cylindrical form, then it can be shown that 1 d 1 div F = V . F = a (rf.) + (fo) + az (fz) r ar