ma241exam2-c

# ma241exam2-c - Spring 2007 Therkelsen MA 241 Exam 2(C...

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Spring 2007 Therkelsen MA 241 - Exam 2 (C) Instructions Use a blue examination book to answer all parts for each problem below. Be sure to write your name and test form (C) on the front cover of the blue book. Please do not answer more than one problem per page. Unless otherwise noted, leave answers in exact form (for example, 2 instead of 1 . 4142 ... ). Circle or box all Fnal answers (partial credit may be given, but only for work shown). No graphing calculators, cell phones, PDAs, etc. Include this sheet when submitting your exam book. Problems 1. ±ind the length of the arc of the given curve, over 0 t 1. y = 1 2 t 2 +8 ,x = 1 9 (9+6 t ) 3 2 2. ±ind the values of r for which the function y = e rx satisFes the di²erential equation. y 0 4 y 0 5 y =0 3. Solve the di²erential equation. (5 + t 2 ) y 0 = ty 2 4. ±ind the solution of the di²erential equation that satisFes the given initial condition. 3 y 0 + xy = xy (0)=11 5. A tank 3 m long, 5 m wide, and 2 m deep is full of water (the density of which is 1000 kg / m 3 ).

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ma241exam2-c - Spring 2007 Therkelsen MA 241 Exam 2(C...

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