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# exam1F11 - Name MATH 216 MIDTERM 1 This Exam contains 5...

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Name: MATH 216 MIDTERM 1 This Exam contains 5 problems. Each part of a problem counts equally. To receive full credit you must show all your work. NO CALCULATOR. 1 TWO-SIDED 3in. BY 5in. NOTECARD OK. CHECK YOUR SECTION IN THE TABLE Sec. Time Exam rm. Professor GSI ME 10 9-10 170 Dennison John Erik FORNAESS Jingchen WU 20 10-11 182 Dennison John STEMBRIDGE Shawn HENRY 30 11-12 1324 EH Manabu MACHIDA Lindsey MCCARTY 40 12-1 AUD 3 MLB Weiyi ZHANG Aubrey DA CUNHA 50 1-2 AUD 3 MLB Weiyi ZHANG Zhao LAN 60 2-3 1400 Chem Jeffrey BROWN Ashley HOLLAND X X 455 Dennison Makeup/Extended time 4:30-10:30 pm X 1

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2 Problem 1. (8 pts) True/False questions. No partial credit will be awarded on this problem. (a) If dy dx = 1 x 2 , then y = - 2 x 3 + C TRUE / FALSE (b) The general solution to the differential equation dy dx = - e - x sin( e - x ) is y = - cos( e - x ) + C. TRUE / FALSE (c) The functions e x , e 2 x and e 4 x are linearly independent. TRUE / FALSE (d) If z = - 1 + 2 i , then arg( z ) = arctan( - 2). TRUE/FALSE WORKSPACE:
3 WORKSPACE PROBLEM 1:

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4 Problem 2. (12 pts) (a) Solve the differential equation ( x 2 + 1)
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