Consider F and C below.
$$F(x, y, z) = e^y i + xe^y j + (z+1)e^z k$$
$$C: r(t) = 3ti + t^2 j + t^3 k, 0 \le t \le 1$$
(a) Find a function f such that $$F = \nabla f$$.
$$f(x, y, z) =$$ ?
(b) Use part (a) to evaluate $$\int_C \nabla f \cdot dr$$ along the given curve C.
?
