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Question #1:

5. (14 points) A calculator may be used. The rate of change of the population of moose, M(t), in the Boundary Waters Canoe Area Wilderness is directly proportional to 1200 M(t), for all t 2 0. 't' is the time in years and k is a constant of proportionality. When t = 0, the population is 300. b. Determine M(t) in terms of t and k.C. If M(4) = 600 find the value of k.d. Calculate M(8) and explain its meaning in context of the situation.y = - x2 - 7. For the regions bounded by y = 6cosx and Part A: Find the limits of integration. (10 points) Part B: Write the expression representing the total area. (10 points) Part C: Solve for the total area. (10 points)