Consider the following Cobb-Douglas production function: Yt = AtK t N 1 t (1) where 2 (0; 1) is the extent of capital intensity (or capital share of total output) and At is the level of technology (total factor productivity) in period t. a. Using (1), derive an expression for output per capita (worker) by deÖning yt Yt=Nt and kt Kt=Nt, then derive an expression for the growth rate of output per worker.