m223ReviewAnswers - SHORT ANSWERS TO MATH 223 Review...

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SHORT ANSWERS TO MATH 223 Review Problems 1. (a) Decreasing (b) Increasing 2. A is a cylinder of radius 2 about the y -axis: x 2 + z 2 =4 B is two parallel planes: x = ± 3 C is a double cone: x 2 + y 2 = z 2 3. Horizontal circle of radius 2 centered at (0 , 0 , 2) 4. (a) a (b) b 5. (a) iii,viii; (b) iv; (c) vii; (d) ii; (e) v,vi; (f) i,ix 7. (b) (i) 1 (ii) Increases (iii) Decreases 8. (a) Rose at 6 AM, directly overhead at 11:30 AM 9. False 10. (b) f ( x, y ) = 2 x - 3 y - 2 11. True 12. (a) 1 6 ( ' i - ' j +2 ' k ) (b) a =8 (c) ± 1 3 ( - ' i + ' j + ' k ) 13. (c) Yes: t ≈- 0 . 5 14. 458.23 lbs. at S 4 . 5 E 15. (b) 'w = - 5 ' i (c) 'u =5 ' i +2 ' j (d) 29 m / s 16. (a) True (b) False (c) False (d) False (e) False 17. (a) 'n = ' i +2 ' j + ' k (b) one possibility is 'v = 2 3 ( ' i +2 ' j + ' k ), 'w = 1 3 ( ' i - ' j + ' k ) (c) 2 3 6 18. (a) 6 (b) 5 6 6 19. (a) True (b) False 20. (a) a =3 (b) not possible (c) 10 x +7 y +3 z = 20 21. (a) - 12 x +4 y +3 z
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This note was uploaded on 10/21/2009 for the course MATH 223 taught by Professor Punosevac during the Spring '08 term at University of Arizona- Tucson.

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m223ReviewAnswers - SHORT ANSWERS TO MATH 223 Review...

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