Let t(x) = e^cx + f (x) and h(x) = e^kx f (x), where f (0) = 3, f' (0) = 5, and f'' (0) = -2.
(a) Find t'(0) and t'' (0) in terms of c.
(b) In terms of k, find an equation of the tangent line to the graph of h at the point where x = 0.