Evaluate So zdx + zydy + (z+ x)dz where C is the line segment from (2, 4, 4) to (1, 1, 1). Submit Question The force exerted by an electric charge at the origin on a charged particle at the point (x, y, z) with position Kr vector = (x, y, z) is F(r) = 73 3' where K is constant. Assume K = 10. Find the work done as the particle moves along a straight line from (4,0,0) to (4,5,3). Question Help: Video Submit Question Calculate the flux and the circulation of a vector field Based on the graph, make a conjecture about whether the circulation and flux of = (y, x) on Cr(t) = (4 cos(t), 4 sin(t)) for T T Base on the graph, make a conjecture about whether the circulation and flux of F = (x, y) on 3T = Cr(t) (3 cos(t), 3 sin(t)) for Base on the graph, make a conjecture about whether the circulation and flux of = (x, y) on Cr(t) = (3 cos(t), 3 sin(t)) for 0 t is positive, negative, or zero. 3 3 3 4 -3 Then a. Compute the circulation and interpret the result. Circulation = b. Compute the flux and interpret the result. Flux = Submit Question