MATH 157 Lecture Notes - Solution Process

• School: Simon Fraser University
• Department: Mathematics
• Course: MATH 157
• Professor: Stephen Choi

Document Summary

Instructor questions accompanying paper assignment # 8 solution. Directions: print double sided, write your solutions to both questions directly on this page, place immediately after cover page and staple together! Marks: an answer without a detailed solution process will be awarded zero marks! Q1: the population of foxes (predators) in a certain region over a 2-year period is estimated to be. P (t) = 3000 + 500 cos (cid:19) (cid:18) t (cid:19) (cid:18) t. 12 in month t, and the population of rabbits (prey) on the same region at time t is given by. Sketch the graphs of each of these two functions and explain the relationship between the sizes of the two populations. Solution: when the population of predators is maximum, its corresponds to the deepest decline of the population of prey. When the population of predators is minimum, its corresponds to the steepest increase of the population of prey.