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Unformatted text preview: Math 351, Summer 2010 Exam 3 (Take-Home) Terry Directions: Book and notes are allowed this time. You must work alone, obtaining help only from your instructor. No collaboration! Exam is due at the beginning of class on the day of our final exam. Do not write on this sheet (there isn’t enough room anyway). Use your own paper. Staple everything together before turning in. Failing to staple your exam is done so at your own risk of papers being lost. Question 1: a) b) Evaluate each integral. (5 points each) c) Question 2: a) Find particular solutions for the following equations. (5 points each) b) Question 3: The growth of Guernsey cows can be approximated by the equation where W is the weight in kg after t weeks. (5 points each) (a) (b) Find the solution to the initial value problem with W(0)=32 kg. What limit does the weight of a Guerney cow approach as t goes to infinity? Question 4: (a) Find general solutions for the following differential equations. (5 points each) (b) Question 5: (2 points each) At the moment that it is removed from the oven, the cake ’s temperature is 350 . The temperature of the surrounding air is 75 , and at the end of one hour the cake is 150 . (a) (b) What is the temperature of the cake after 2 hours? When will the temperature of the cake be 80 ? ...
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- Summer '10