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Lecture Notes for MATH 221 - ELEM CALCULUS II at Maryland (UMD)

Notes Information

Material Type:Review Sheet
Professor:Staff
Class:MATH 221 - ELEM CALCULUS II
Subject:Mathematics
University:University of Maryland
Term:Spring 2006
Keywords:
  • Unauthorized
  • Provided That
  • Question Sheet
  • Integrating
  • Qualitative
  • Unauthorized Assistance
  • Honor Pledge
  • Value Problem
  • Initial Condition
  • Qualitative Analysis
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Sample Document Text

MATH 221, Weigang Zhong Test 1(Sample) 30 June 2006 Directions: SHOW ALL WORK! - answer the questions in the space provided on the question sheet, use the other side of the page if necessary. You may NOT use your calculator in your work. Perfect score: 100 points. The University of Maryland Honor Pledge reads: "I pledge on my honor that I have not given or received any unauthorized assistance on this examination." Please write the exact wording of the Pledge, followed by your signature, in the space below: Pledge: Signature: Name: 1. (5 points) Which, if any, of the functions t, 2t, 3t are solutions of the differential equa- tion yprimeprime ? 2yprime + 2y = 4t ? 4? 2. (10 points) Solve the initial value problem yprime = ty + t, y(0) = 2, by separation of variables. 3. (10 points) Solve the initial value problem yprime = (1 ? y)cosy, by integrating factor. 4. (13 points) Find the sum of the given infinite series if it is convergent. (a) (6 points) 5 2 6 + 53 62 + 54 63 + 55 64 + 56 ...

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