test3prf3-f8-1

test3prf3-f8-1 - MATH 2403F3-F8 Practice Problems for...

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MATH 2403F3-F8 Practice Problems for Midterm 3 Fall 2009 TIME: October 27 (Tuesday), 12:05-13:05 (the length of the exam is 60 min) PLACE: Howey Physics L1 (where we meet on Tuesdays & Thursdays) COVERAGE: Lectures 09/29-10/20 EXAM POLICY: No calculator. No books. No notes, except for one formula sheet of letter size handwritten by yourself. Turn in this formula sheet with your test. By the way, a copy of Table 5.3.1 on page 325 will be provided to you at this test. The problems below are only meant for your practice. The real problems on the exam will not be the same. The amount of questions will also not be the same. Good luck! [1] Solve (a) x ( t ) = 1 4 1 1 x ( t ) + e 3 t 0 , x (0) = 0 0 . (b) y + 4 y + 4 y = 8 t 2 + 10 cos 4 t + e - 2 t , y (0) = - 1 , y (0) = 2 . (c) 4 y - y = 8 e t/ 2 2 + e t/ 2 [2] A spring is suspended from a ceiling. A mass weighing 60 lb stretches the spring 0.5 ft. Assume that the gravitational acceleration is g = 32 ft / s 2 . Ignore the damping. (a) If the mass is pulled further 1 ft down below the equilibrium position and is given an

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