This exam has 9 questions for a total of 100 points. In order to obtain full credit for partial credit problems, all work must be shown. Credit will not be given for an answer not supported by work. The point value for each question is in parentheses to the right of the question number. A table of laplace transforms is attached as the last page of the exam. Please turn off and put away your cell phone. You may not use a calculator on this exam. July 30, 2007: (14 points) consider a mass-spring system described by the equation. July 30, 2007: (5 points) a mass of 2 kg stretches a spring 0. 4 m. the system has no damping. At t = 0, the mass is pulled down 1 m from its equilibrium position and set in motion with an initial downward velocity of 4 m/s. 1 s2 f (s + 5) (d) f (s 5)