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MATH 222 (31)
Midterm

# practice midterm 2012 .pdf

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School
Department
Mathematics & Statistics (Sci)
Course
MATH 222
Professor
Christa Scholtz
Semester
Fall

Description
Mathematics 222, Winter 2012 Calculus 3 Midterm Examination, February 13, 2012 VERSION 1. PART 1, MULTIPLE CHOICE Each of these questions is worth 10 marks. Answer on the machine- scored sheets (scantrons) provided. Make absolutely sure you have ﬂlled them out properly. (For instance, if your student i.d. number is not there in both the appropriate places, you will get no marks for this part of the exam. Also, be sure you have the correct version number on the scantron.) DO THIS FIRST! Calculators are not permitted. 1. The value of 2cos(3x) ¡ 2 + 9x2 lim is x!0 x 4 (a) 27. 8 (b) 9 . 4 (c) 27. 4 (d) None of the above, because the limit is some other real number. (e) None of the above, because the limit doesn’t exist. 2. The interval of convergence of the power series X 2 n n 3 (x ¡ 3) is n=0n + 1 (a) [2;4) (b) [2;4] (c) (¡1;1) (d) [¡1;1) (e) [¡1;1] 3.The planes ƒ 1 x + 2y ¡ z = 1 and ƒ 2 x ¡ y + z = 1 intersect at the line x y¡1 z¡1 (a) 1 = ¡2 = ¡3 . x¡1 y z (b) 2 = 1 = ¡3 . (c) x¡1 = y¡1 = z¡1. 1 2 3 (d) x¡1 = y = z . 1 ¡2 ¡3 (e) These planes do not intersect. 1 4. The sum of the series • ‚ X (¡2)n (¡3) n + is n! (2n)! n=0 (a) e + cos3. p (b) e
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