Written Assignment 2 X Demo document X G translate english to persian - Goo X + V X canvas.ubc.ca/courses/103656/assignments/1383530 G ASSISTment Z.PUT Page T' where p(t) is the number of motile lice per fish at time t, T is the time of treatment, and P, Q, a, b > 0 are constant parameters. 2. Find the value of Q such that p(t) is continuous for all t. In the winter of 2005-2006, the sea louse populations for two salmon farms in the Broughton Archipelago were fitted to the model above. The population graphs are shown in Figure 2 at the bottom of this document. 3. (a) Use the limit definition of derivative to show that p(t) satisfies the differential equation p' (t) = Jap(t) ift T (You may use without proof the fact that lim o h = = log(c) for all c > 0.) (b) Which of the two farms, Sargeaunt Pass or Humphrey Rock, has a larger parameter a? Justify your answer carefully. 4. On the Sargeaunt Pass farm, the parameter b was measured to have the value b = 0.057. Juvenile wild salmon begin migrating past the farm on March 1. On what date should treatment occur so that the sea lice population on the farm is reduced by 95% by the time of migration? (Assume it is not a leap year.) K J 15 C w x] Ed ENG 10:01 PM Clear US 2022-10-12Written Assignment 2 X Demo document X G translate english to persian - Goo X + V X canvas.ubc.ca/courses/103656/assignments/1383530 G ASSISTment Z.PUT Download Page 2 of 2 - ZOOM + a N Nov Jan Mar May Jul Motile louse abundance (ind. fish-1) 8 7 b 6 - 2- Nov Jan Mar May Month Figure 2: Number of motile sea lice per fish during the winter of 2005-2006 on two salmon farms in the Broughton Archipelago: (a) Sargeaunt Pass and (b) Humphrey Rock. The dashed line indicates the time of parasiticide treatment. K J 15 C EM x ] P3 ENG 10:01 PM Clear US 2022-10-12