MATH 0240 Midterm: MATH 240 Practice Problems-99
Document Summary
Practice problems on sections 13. 1, 13. 2, 13. 3, 13. 5: evaluate the integral rc by x(t) = 3t2, y(t) = 2 t, 0 t 1. (cid:16)q x. If the density function is (x, y) = x + y2, nd the mass of the wire: find curl(f) and div(f), if f(x, y, z) = ( y x + z)i + ( x y. Z)j + k: determine if the given vector eld f is conservative of not. If it is conservative, nd a potential function: f(x, y) = x2yi + 2xj, f(x, y) = 2eyi + (2xey 1)j, f(x, y) = ( y. 1+x2y2 + 2xy3 1)i + ( x. 1+x2y2 + 3x2y2 2)j: f(x, y, z) = (x2y)i + (2z)j + (2y + z)k, f(x, y, z) = (cid:16) 2x.
