MATH 215 Final: finalw14
Document Summary
W2014, math 215 calculus iii, final exam, 04/28/2014: (10 points) let. ~f (x, y, z) = (cos z + xy2)~i + xe z~j + (sin y + x2z)~k. Let e be the solid region bounded by the surface z = x2 + y2 and the surface z = 8 x2 y2. S be the boundary surface of e. evaluate the ux of ~f across s. The ux is: (10 points) let c be the curve from (0, 0) to (3, 27) along y = x3. Evaluate the work done by the vector eld in moving a particle along c. The work is: (10 points) consider the surface z = x2 y2. The cylinder x2 + y2 = 1 divides this surface into two parts, one of nite size and the other of in nite size. Let s be the part of nite size.
