1. Write out the steps need to show that the last equation on slide 21 of lecture 5 follows from the first equation on the same slide. Hint 1: A review of the first 2 pages of the memo has some helpful hints. Hint 2: the expression for & can be written as K = KEL. Substituting our expressions for k(t), L(t), and E(t) into dK dt = SAK L1-@ - SK and using dk dE dL EL + K- dt L+ RE dt dt dt we obtain the capital accumulation equation for k: dk dt = SK - (BE + gL + 6)K