2. Consider the following form for the production function of an economy Q = F(K, L, t) where O. K, L and t denote output, capital, labour and time respectively. If K and L depend only on t, find an expression for do/dt in terms of the partial derivatives of the production function and the time derivatives of K and L. Now suppose that K and L have constant proportionate rates of growth m and n respectively. Find the rate of growth of output when the production function takes the following form: Q = ert KOLB (r, a, B > 0)