Suppose that the midlatitude temperature structure of the troposphere and lower stratosphere (between 100 and 1000 hPa) can be approximated by Tly,p) = T. - (po - p) - ay + By(po - p) where the north-south position y = 0 corresponds to the reference latitude 45N and where To = 273 K, = 0.073 K/hPa, po = 1000 hPa, a = 10-5 K/m, and B 1.3 x 10-8 K/(m hPa). Assume that the flow is approximately in geostrophic and hydrostatic balance so that 1 fv fu= ' a. At what pressure level does the zonal wind u achieve its maximum value? b. Plot contours of T given by the formula above over the domain -1000 km