1. The number of rooms rented at a resort hotel is determined by time of year and can be modelled by the function: R(t) = 200Sin (t) +500 a) What is the maximum and minimum number of rooms? b) What is the period? c) What month is do they rent the most rooms.... least number of rooms? 2. The number of deer in Ontario has fluctuated since the year 2005 and can be modelled by the function: N(t) = 700Sin (t) + 2000 a) What is the max and minimum population of deer in Ontario? b) What is the period? c) What year did we have the max...min? 3. A conical reservoir is being filled with soil at a rate of 6m/hr, determine the rate the height is increasing when the height is 5m. The conical reservoir's slope is 1/3.