pls provide detailed answers thank you

1. Suppose capital, labor and efficiency K, L, and E grow at constant rates given by 9k, 91 and gg . Let a, b be constants between 0 and 1. hint: Compute log of y, then take the time derivative. (a) Ify = zK"/L', what is the growth rate gy of y , in terms of 9k, 9L and gE? (b) If y = zEK"L', what is the growth rate gy of y , in terms of 9k, 9L and gE? (c) Ify = (2EK)" L', what is the growth rate gy of y , in terms of gk, 9L and gE? (d) Suppose that gy = 92 + agk + gr. What is the true production function