This exam has 12 questions for a total of 100 points. In order to obtain full credit for partial credit problems, all work must be shown. For other problems, points might be deducted, at the sole discretion of the instructor, for an answer not supported by a reasonable amount of 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. Total: (30) (10) (8) (15) (15) (12) (10) April 7, 2014: (5 points) evaluate the following de nite integral. 0 e st (t3 + sin(2t)) dt. (a) (b) (c) (d) 1 s2 + 22: (5 points) consider the function f (t) = . 0, if 0 t < if t < 3 if 3 t.