At any time t, the rate of growth of the population N of deer in a state park is proportional to the product of N and L N, where L = 900 is the maximum number of deer the park can sustain. When 1' = 0, N = 100, and when t = 4, N = 800. Write N as a function of t. (Round your coefficients to four decimal places.) N(t) = The barometric pressure y (in inches of mercury) at an altitude ofX miles above sea level decreases at a rate proportional to the current pressure according to the model dy = 0.2 dx y where y = 29.92 inches when x = 0. (Round your answers to two decimal places.) (a) Find the barometric pressure at 7272 feet. in (b) Find the barometric pressure at 19,410 feet. in