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166E1-S04 - MA 166 NAME STUDENT ID EXAM 1 Spring 2004 Page...

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MA 166 EXAM 1 Spring 2004 Page 1/4 NAME STUDENT ID RECITATION INSTRUCTOR RECITATION TIME Page 1 /18 Page 2 /30 Page 3 /28 Page 4 /24 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, 3, and 4 . 2. The test has four (4) pages, including this one. 3. Write your answers in the boxes provided. 4. You must show sufficient work to justify all answers. Correct answers with inconsistent work may not be given credit. 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 test. (12) 1.(a) Find the center and radius of the sphere with equation x 2 + y 2 + z 2 - 2 x - 4 y +8 z +17 = 0. center: radius: (b) Is the origin inside, outside, or on the sphere in part (a)? (6) 2. Find a unit vector ~u in the direction opposite that of ~a = 2 ~ i - j - 2 ~ k . ~u =
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MA 166 Exam 1 Spring 2004 Name Page 2/4 (10) 3. A constant force with vector representation ~ F = 10 ~ i +18 ~ j - 6 ~ k moves an object along
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