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261E1-S01 - MA 261 NAME STUDENT ID EXAM 1 Spring 2001 Page...

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MA 261 EXAM 1 Spring 2001 Page 1/6 NAME STUDENT ID RECITATION INSTRUCTOR RECITATION TIME Page 1 /12 Page 2 /7 Page 3 /18 Page 4 /18 Page 5 /27 Page 6 /18 TOTAL /100 DIRECTIONS 1. Write your name, student ID number, recitation instructor’s name and recitation time in the space provided above. Also write your name at the top of pages 2–6. 2. The exam has six (6) pages, including this one. 3. Circle the correct answer for problems 1–3. Write your answer in the box provided for problems 4–12. 4. You must show sufficient work to justify your answers. 5. Credit for each problem is given in parentheses in the left hand margin. 6. No books, notes or calculators may be used on this exam. (5) 1. Let ~a = ~ i - 2 ~ j + 3 ~ k and ~ b = 3 ~ i + 4 ~ j + 7 ~ k . Then ~a · ~ b k ~a k = A. 8 B. 33 14 C. 33 14 D. 16 14 E. 8 7 (7) 2. Symmetric equations for the tangent line to the curve ~ r ( t ) = e t ~ i +(2 t +3) ~ j +(5 - sin t ) ~ k at the point (1 , 3 , 0) are: A. x - 1 1 = y - 3 2 = z - 1 B. x - 1 1 = y - 3 3 = z 5 C. x - 1 e t = y - 3 2 = z - cos t D. x = 1 + t , y = 3 + 2 t , z = - t E. x = 1 + t , y = 3 + 3 t , z = 5 t
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MA 261 Exam 1 Spring 2001 Name Page 2/6 (7) 3. Which of the following surfaces represents the graph of f ( x, y ) = 4 x 2 + y 2 - 4?
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