Let F(x, y, z) = (2xy+z) itx'j+xk, and W = F . dr . Use the Fundamental Theorem for Line Integrals to find the work IT done by the force field F on moving a particle along the curve C, where C is the oriented curve corresponding to the vector function r(t) = (et, e2t, t? ), out=2. (Assume: Distance in meters, force in Newtons, work in Joules, 1 Joule = (1 N) . (1m).) Hint: Observe that f(x, y, z) = xy+ x2 is a potential function for the vector field F. What is the value of W ? Select one: OW=0 O W = e8 +8e2 -1 O W = 2e4 - 4e2 - 8 O W = e8 -2e2 - 1 O W = e8 -402 - 1 O W = e8+ 4e2 - 1 O W = e8+ 4e2 - 2 O W = 4e8 + 2e2 + 1 O W=1-e8 -4e2 O W = e8+ 4e2+ 1