MATH 307 Final: MATH 307 UW 307 Su10 Final A
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Math 307, sections a, b and c, summer 2010, final exam. You have 60 minutes: you may use a calculator which does not graph and which is not programmable, show your work, please box your nal answer. 1: consider a reservoir with a volume of 9 billion cubic meters and an initial pollutant concentration of. There is a daily in ow of 450 million cubic meters of water with a pollutant concentration of 0. 05% and an equal daily out ow of the well-mixed water. 2: use the laplace table to answer the following questions. (a) find the inverse laplace transform of. F (s) = e 4s s2 7s + 10 (2s + 5) s2 + 4s + 13. 6 (s 2)3 (b) find the laplace transform of f(t) = 7te 4t cos 3t + t sin(t . 3: use the laplace transform to solve the following initial value problem. y + 4y =(3t + 5,
