MATH 246 Midterm: Exam 2 No Solutions Spring 1999

• School: University of Maryland
• Department: Mathematics
• Course: MATH 246
• Professor: All

Document Summary

Show all work in a clear and concise manner to get maximum credit. Circle your answers: consider a wire in space parametrized by. Find the mass of the wire: (15points) let ~f (x, y, z) =< exyz, exz + 2yz, exy + y2 + 1 >. ~f d~s where ~c(t) =< cos t, sin t, t >, 0 t . Hint: look for a shortcut: consider the double integral r 1 y dy)dx, (5 points) sketch the region d of integration, (10 points) reverse the order of integration and evaluate. Use the linear change of variables u = x 2y, v = 2x y to evaluate r rr f (x, y)da. 2 , above the plane z = 0 and below the surface z = cos(x2 + y2).