Question 1
Find the outward flux of
F = ln(x
2 + y
2)
i -
j + z
k across the boundary of the region
◦ 4
π +
πln 2 - 2π
◦ 4
π - 3πln 2 + 2π
◦ 4
π + 3πln 2 + 2π
◦ 4
π - 3πln 2 - 2π
◦ 4
π + 3πln 2 - 2π
Question 2
A certain region R in 3-space has volume 5 cubic units and centroid at the point (2, -3, 4). Find the flux of
out of R across its boundary.
◦ 15
◦ 60
◦ 50
◦ 90
◦ 20