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F08ExamAnswers - Answers Fall 2008 Exam 1 1 2 3 4 C D A E 5...

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Answers – Fall 2008 Exam 1 1. C 5. B 9. B 2. D 6. A 10. D 3. A 7. B 11. C 4. E 8. E 12. A 1a. 500 bears 1b. 100 bears 1c. 5 / 3 years 1d. T ( t ) = 5 + t 6 + 2 t 1e. 500 trout 2a. p = 100 - 1 10 x 2b. C ( x ) = 1200 + 5 x + 3 20 x 2 R ( x ) = 100 x - 1 10 x 2 P ( x ) = - 1200 + 95 x - 1 4 x 2 2c. 190 units at price $ 81 3a. -∞ 1 1 2 1 DNE DNE 1 3b. 3c. x = - 1 infinite; x = 0 jump; x = 3 removable 4a. rational; ( -∞ , 0 ) ( 0 , 2 ) ( 2 , ) 4b. - 1 / 2 , -∞ , - 1 / 4 4c. x = 2 removable; x = 0 nonremovable 4d. Define f (2) = - 1 4
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Answers – Fall 2008 Exam 2 1. A 5. A 9. C 2. B 6. D 10. B 3. E 7. D 11. D 4. E 8. B 12. B 1a. - 9 50 1b. lim h 0 1 h h 1 ( x + h ) 2 - 1 x 2 i = . . . = - 2 x 3 1c. y = 3 4 - 1 4 x 2a. - 1 + 8 - 2 x 8 - 2 x ; HTL at x = 7 / 2 2b. 8 - 3 x 8 - 2 x ; HTL at x = 8 / 3 2c. - 1 (8 - 2 x ) 3 / 2 3a. $ 180 per unit 3b. $ 20 per unit 3c. $ 40 3d. -$ 80 per day 4. Domain: x 6 = 5 crit. numbers: x = - 1 , 0 increasing: ( - 1 , 0 ) , ( 0 , 5 ) decreasing: ( -∞ , - 1 ) , ( 5 , ) VTL/cusp: x = 0 HTL: x = - 1 rel. minimum at: x = - 1 rel. maximum at: none
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Answers – Fall 2008 Exam 3 1. D 5. A 9. C 2. A 6. E 10. B 3. B 7. E 11. B 4. B 8. D 12. A 1. x = 1 / 2 ft; y = 2 ft C 00 = 16 + 4 x 3 > 0 when x = 1 / 2 2a. absmax=1 when x = 1 ; absmin=1/2 at either endpoint 2b. x = 7 . 5 thousand units 3. Domain: x 6 = - 2 Intercepts: ( 0 , 0 ) VA: x = - 2 HA: y = 0 crit. numbers: x = 1 increasing: ( -∞ , - 2 ) , ( - 2 , 1 ) decreasing: ( 1 , ) VTL/cusp: none HTL: x = 1 rel. minimum at: none rel. maximum at: x = 1 conc up: ( -∞ , - 2 ) , ( 2 , ) conc dn: ( - 2 , 2 ) inflection at:
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