2. Given that F(x, y, z) = (e", xe" + e*, ye*) is a conservative vector field. a. Find a potential function f for F. b. Compute the line integral Jo F. dr where C is the arc of the circular helix given by r(t) = cos ti+ sin tj + tk, 0≤t≤T/2.

5. Given the vector field F(x, y, z) = (e», (xe" + e²), ye²) find the following a. Show F is conservative b. Find a potential function f (i.e. F = Vf) c. Find the line integral S. F · dř where C is the line segment from (0,2,0) to (4,0,3)

3. Determine if the vector field F(x, y, z) = e" sin yzi + ze² cos yzj + ye² cos yzk is conservative or not. If it is, find the potential function f such that F = Vf.