1. (5 points) A hare population, H(c), in a national park rises and falls each year....
1. (5 points) A hare population, H(c), in a national park rises and falls each year. It is at its minimum of 1000 hares in January. By July, as the weather warms up and food grows more abundant, the population grows in size to 5000. By the following January, the population again falls to 1000 hares, completing the annual cycle: HT 5000 ----- Population maximum 1000 Population minimum (months) 18 24 (a) Give the period, amplitude and midline of the function H(t). (b) Give a possible formula for H(t) of the form H(t) = A cos(Bt) + C or H(t) - Asin(Bt) +C. 2. (4 points) Find the period, amplitude and midline for the following functions: (a) y = -20oC.) +3 (b) y = 3 sin()