E5D.3 Suppose we would like to calculate the rate at which particles moving vertically upward with a uniform veloc- ity o pass through the surface shown below, which is half the surface of a cylinder. (The particle velocity vectors are only shown for one plane through the cylinder's center.) surface L 2R Assume that the particles have a uniform number density n. Calculate the total flux through this surface either by using calculus to do the sum (if you can figure out how) or by dividing the surface into 9 strip-like tiles whose nose vectors make angles of 0, 20, 40, etc. with respect to the verti- cal, calculating the flux through each tile, and summing the