We want to compute the surface integral of A over the disk.
Given a vector field A = x + yy + zz. Consider the disk S defined by z = 0 and x^2 + y^2 = 25. We want to compute the surface integral of A over the disk: ∮s A · ds.
(a) Find the differential surface vector ds for the disk. (b) Find dot product: A · ds. (c) Integrate. (d) Solve the problem by putting it in a cylindrical coordinate system.