Calculus II Midterm 2 March, 2009 21. (3 marks each; total 9 marks) Answer each question in the space provided. You MUST show your work. a)Mad scientists colonize an empty island with 10 gremlins. The rate of growth of the population can be modeled by the differential equationPdtdP7=. Find the population of gremlins as a function of time. b)If tex=and 3lntty−=, find dxdywhen 5=t. c)Use Euler’s Method to approximate )4.1(ywith step size 2.0=hfor the following initial value problem: ,'xyxy−=0)1(=y
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