final - UCB Math 1B Spring 2010 Final Exam Prof Persson...

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UCB Math 1B, Spring 2010: Final Exam Prof. Persson, May 11, 2010 Name: SID: Section: Circle your discussion section below: Sec Time Room GSI 01 MW 8am - 9am 75 Evans C. Raicu 02 MW 9am - 10am 110 Barker M. Daub 03 MW 10am - 11am 3105 Etcheverry M. Daub 04 MW 12pm - 1pm 3105 Etcheverry M. Daub 05 MW 12pm - 1pm 7 Evans C. Raicu 06 MW 12pm - 1pm B51 Hildebrand H. Tran 07 MW 9am - 10am 47 Evans A. Boocher 08 MW 8am - 9am 81 Evans A. Boocher 09 MW 4pm - 5pm 110 Barker H. Chaperon 10 MW 5pm - 6pm 70 Evans H. Tran Other/none, explain: Grading 1 / 10 2 / 10 3 / 10 4 / 10 5 / 15 6 / 15 7 / 15 8 / 15 /100 Instructions: One double-sided sheet of notes, no books, no calculators. Exam time 180 minutes, do all of the problems. You must justify your answers for full credit. Write your answers in the space below each problem. If you need more space, use reverse side or scratch pages. Indicate clearly where to find your answers.
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1. (10 points) Find the Maclaurin series for the function f ( x ) = 8 (2 - x ) 3 . 2
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2. (10 points) Find a particular solution of the differential equation y 00 + 2 y 0 = xe x + x 2 .
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