(1 point) Let f(1') = 3 |t 3| on the interval [1, 5]. Find the absolute maximum and absolute minimum of f(1') on this interval. The absolute max occurs at I = The absolute min occurs at t = (1 point) The lynx population on a small island is observed to be given by the function P(t) = 120: 0.4:4 + 1100 where r is the time (in months) since observations of the island began. Note: you can get a larger View of the graph by clicking on it (a) The maximum population attained at t = months. The maximum population is PU) = lynx. (b) When does the lynx population disappear from the island? 1' 2 months (1 point) A car rental agency rents 180 cars per day at a rate of 30 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income? Rate = dollars/day Maximum Income = dollars/day