161E1-S2007

# 161E1-S2007 - Purdue University Examination MATH 161 EXAM 1...

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Unformatted text preview: Purdue University Examination MATH 161 EXAM 1, SPRING 2007 Name: , (Last name) (First name) 10-digit PUID Number: ~ Lecturer: Recitation Instructor: Recitation Time: INSTRUCTIONS: 1. This package contains 14 problems worth 7 points each. 2. Please supply a_ll information requested above and on the scantron sheet. Use a #2 pencil on the scantron sheet to ﬁll in the corresponding circles. You get 2 points for supplying all information correctly. ' 3. Work only in the space provided, or on the backside of the pages. Circle your choice for each problem ~ in this booklet, and mark your answer on the scantron sheet. 4. No books, notes, calculator or any electronic devices may be used on the exam. MA 161 I Exam 1 Spring 2007 1. The radius of the circle 332 + 29: + y2 — 4y 2 0 is A.5 34/5 0.3 134/93 ED 2. Let L be the line that passes through the points (0,2) and (4, 5). Which of the following lines is parallel to L? a I. The line through (1,1) and (3, 4). II. The line with equation 32: — 4y = 0. ‘ III. The line through (3, 4), perpendicular to the line y = a: + 4. A. Only I B. Only II C. Only III D. Only I and II E. Neither MA 161 Exam 1 3. What is the angle 0 shown below? arc length 1 1 ‘7 332-434. 4. What is the domain of the function A. (—oo, 0) U (0, 00) B. (—oo,0) u (0, 1) u (1, 00) C. (—oo,¥1)U(—1,1)U(1,oo) D. (—oo, —1) u (1, 00) E. (—oo,—1) u(—1,0) u (D,1)U(1,oo) A. 45° B. 71/4 radians C. 7r / 8 radians D. 1/2 radian E. 30° Spring 2007 MA 161 Exam 1 5. Let f = (sin 3:)2 and g(a;) = sin(:c2). Which is true for all real :13? I. f(x+27r) = II. g(x + 271') = A. Both are true B. Only I is true C. Only II is true D. Neither of the two is true E. None of the above answers is correct 6. The graph of y = f is shown below. Which is the graph for y = — f (a: + 1)? Spring 2007 MA 161 Exam 1 7. The solution of the equation 2x25 26 — 2 = 14 is a: = A7 ‘B.2and7 0.5 .D.6 8. Which of the following numbers is in the range of 2””? I. 0 II. 1/4 III. 1/2 A. Only I B. Only II C. Only III D. Only II and III E. 4 and 5 E. All are Spring 2007 MA 161 Exam 1 Spring 2007 9. Which function is one-to—one? y ,3! ® 3/ 7' £17 ‘ (I) I\ 117 ' f ' g h A. Only f B. Only g C. Only h D. Only f and h E. Only 9 and h 10. The inverse of the function go(a:) = \3/ 1 — x3 is A. \3/1 — 3:3 B. (1 — {75)3 C. (1 + {7503 D. log1_z3 31- E. None of the above MA 161 Exam 1 11. if a: > 1, then (10gz m3)(lne:1:) = A. 1n(:I:3 + e””) B. logac(ar:3 + e”) C. ln(ea:4) D. 4 + Inst: 12. For the function F pictured, which is true? 3, I. 91513) F(a:) = 1. II. lim F(a:)_= 0. 3—»0‘ III. lim F = O. :z:-—»1 A. Only I B. Only II C. Only I and II D. Only II and III Spring 2007 E. 3 + ln(m3) E. All are true MA 161 1 1 . 4 x2 13. m_ 2 A. 00 B. -—oo II 14. The function is discontinuous A. Only at 0 D. onlyat 0, 1/2 and 1 Exam 1 C. 1 D. 1/2 E. 1/4 B. Only at 1 _C. Only at 0 and 1 E. The function is everywhere continuous Spring 2007 ...
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161E1-S2007 - Purdue University Examination MATH 161 EXAM 1...

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