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3. (20) Let S be the drinking cup which is 4 units tall, whose sides are the cylinder x² + y² = 9 (i.e., the radius is 3
Posted: Sat Jul 09, 2022 2:20 pm
by answerhappygod
- 3 20 Let S Be The Drinking Cup Which Is 4 Units Tall Whose Sides Are The Cylinder X Y 9 I E The Radius Is 3 1 (262.02 KiB) Viewed 55 times
3. (20) Let S be the drinking cup which is 4 units tall, whose sides are the cylinder x² + y² = 9 (i.e., the radius is 3, centered around z-axis), with bottom at z = 0, and which has no top (or how would you drink?). (Be clear with this picture! Bottom and sides, cylinder, no top.) boundary S Surface r(t) = dř (t) = F (†) = break [ ³ · d² = C no top Let F(x, y, z) =< -y, x,x+z>. We are going to verify Stokes' for this object, in this and the next problem. Do stuff in the order asked. Compute the circulation of F around the boundary, C, of S. Parameterize C. This is just the circle (not disk) at the top (rim) of the cup. Be sure your circle is at the top, not the bottom. Then compute what's asked for. "sides bottom (include the limits)