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Unformatted text preview: Midterm 2, Math 33B, Winter 2006 March 3, 2006 Name: UCLA ID: Section (circle one): 1A Michael VanValkenburgh Tuesday 1B Michael VanValkenburgh Thursday 1C Yon Seo Kim Tuesday Directions: Fill in your name and circle your section above. Do not turn the page until instructed to do so. You have 50 minutes to complete the exam. No outside materials are allowed; use only your brain and a writing instrument. A table of integrals is included at the back. There are 4 problems, of varying weights. Extra scratch paper is included. If your work on a problem appears on a different page, indicate clearly where it may be found. Show all the necessary steps involved in finding your solutions, unless otherwise instructed. In the interest of us not losing pages of your exam, please refrain from detaching pages from the exam (except for the table of integrals). Good luck. Problem Maximum Score 1 8 2 12 3 10 4 10 Total 40 1 1. (8 pts) Below are four second-order differential equations. Assume each of them are given the initial conditions x (0) = 0 , x prime (0) = 1. Next to each differential equation, write the letter of the graph below (A, B, C or D) that gives the correct solution (2 pts each). Do not assign more than one graph to an equation, or more than one equation to a graph.to a graph....
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