- S Surface Boundary Break Yo Top Sides Bottom 4 30 Let S Be The Drinking Cup Which Is 4 Units Tall Whose Sides Are 1 (358.46 KiB) Viewed 54 times
- S Surface Boundary Break Yo Top Sides Bottom 4 30 Let S Be The Drinking Cup Which Is 4 Units Tall Whose Sides Are 2 (338.8 KiB) Viewed 54 times
S Surface boundary break Yo top "sides bottom
4. (30) Let S be the drinking cup which is 4 units tall, whose sides are the cylinder x² + y² = 9, with bottom at z = 0, and which has no top (or how would you drink?). (See picture, previous page.) Let F(x, y, z) =<-y, x,x+z>. Compute the flux of curl(F) through S. Parameterize the two pieces of S (side and bottom, see previous page for picture), compute the 2 fluxes, add, and compare to problem 3 Be sure that your normal vectors point "out". Note that your r vectors should have 2 parameters, but not the same 2 parameters. Finally, one of these integrals evaluates to 0. Just saying. curl(F) = "Sides" (cylinder shell) "Bottom" (disk)