A mountain in the ocean is bounded by the ocean floor z = 0 and the cone z = 4 − 2 √ x 2 + y 2 . Suppose the heat flow in and ar
ound the mountain is described by the vector field F(x, y, z) = y 2 (x + sin y)i + z cos xj + x 2 zk. Calculate the flux of heat flowing out of the mountain. Hint: use the divergence theorem.
