Instructions: Show all of your work for complete marks. 1. A certain population of squirrels is represented by the function P(!) = 3t(e '), where P is the number of squirrels measured in hundreds after t weeks. a. Determine the function, P , which represents the rate of change of squirrels. [T2] b. After how many weeks are there a maximum number of squirrels present? [T2] c. Determine the maximum number of squirrels present in the population. [T2] d. Does the squirrel population ever die out? [TI] 2. Prove that y = sec x + tan x is always increasing on the interval - 5