MATH 246 Quiz: Quiz 7 Solutions Spring 2009

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14 Mar 2019
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Name: do not open this exam until you are told to begin, this exam has 7 pages including this cover. There are 6 questions: the exam is closed cover. No calculators are allowed: show your full work for all the problems. Answers without justi cation will receive no credit: please turn off all cell phones and pagers and remove all headphones, a list of useful laplace transforms is in the back of the exam. You don"t need to actually solve the equation. T. f (t) = : (15 points) let (a) (10 points) write f in terms of elementary step functions, f (t) = p uci(t)gi(t ci) (b) (5 points) compute the laplace transform of f . 4: (20 points) (a) (10 points) solve y + 2y + y = cos( ) (t 5), y(0) = y (0) = 0. (b) (10 points) let f (s) = l{f (t)}.