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Fall09104 - MATH 104 Fall 2009 Final Exam NAME Student ID...

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MATH 104, Fall 2009, Final Exam NAME: Student ID number: Lecturer: TA: Recitation meeting time: Problem Score Out of 1 6 2 6 3 6 4 6 5 5 6 5 7 5 8 5 9 6 10 5 11 7 12 6 13 8 14 8 15 8 16 8
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Multiple choice questions The worth of each question is one less than the number of possible answers, for example, if the choices are (a), (b), (c), (d), and (e), then a correct answer is worth 4 points. You do not need to justify your answer but you must SHOW YOUR WORK so we know you actually did it. An incorrect answer is worth - 1. No calculators are allowed on this exam. 1
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1. Find the area of the region between the curves x = 4 - y 2 and x = - 3 y . (a) 115 6 (b) 1 4 (c) 43 2 (d) 1 9 (e) 1 12 (f) 20 (g) 125 6 2. Compute 1 / 2 0 arcsin( x ) 1 - x 2 dx . (a) π 2 36 (b) π 36 (c) 1 36 (d) π 6 (e) π 2 72 (f) π 72 (g) 1 72 2
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3. Find the value of 1 0 ln(1 + x 2 ) dx . (a) ln 2 (b) π 8 (c) π - 2 (d) π - ln 2 (e) π 2 - 2 + ln 2 (f) 2 - ln 2 (g) π 4 + ln 2
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