MATH 241 Midterm: MATH 241 UIUC Math241_Spring08_Exam4

• School: University of Illinois
• Department: Mathematics
• Course: MATH 241
• Professor: All

Document Summary

F ds and use it to explain the e ects of a reparametrization of the path r. 2. (a) (7pts) evaluate zz radius 2: z3 ds where : [0, 2 ] [0, ] r3 is parameterized cylinder of. (s, t) = (2 cos s, 2 sin s, 2t). (3pts) let be a reparametrization of . Compute the ux of the vector eld f over the surface s. F ds when f (x, y, z) = (y, x + z cos (yz), y cos (yz)). Math 241 exam 4 version 2. 1. (a) (b) answer. (7pts) evaluate zr (3pts) let p be a reparametrization of r. evaluate zp ds when r(t) = t, x + y y + z. 3 t3/2, t and t [1, 2]. x + y y + z ds and brie y explain your: let f = xi + yj + (z 2y)k.