Problem 4 Vector-valued functions. Let H(t) = (cost, e-, 0), G(t) = (t, 0, Int), and F(t) = (t2, 1, -t) . Consider the scalar triple product h(t) = H(t) . (G(t) x F(t)) (i) Compute - h(t) using the Cross and the Dot Product Rules for differentiating. (ii) Compute h(t), differentiate it, and compare with the result in (i)