E2RevAns - d) y = 1 √ 10 e and y =-1 √ 10 e 12. a) NO...

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Review Answers– Exam 2 1. a) y = - 1 2 b) y = 1 2 and y = 0 c) y = - 3 and y = - 1 d) none 2. see notes 3. -14 4. y - 2 = - 1 4 π ( x - 1 4 ) HTLs: x = 0, ± 1, ± 2, ... 5. a) x - 1 x 2 b) 2(6 x - 2) 2 ( x +4)(15 x +34) c) 2 x [cos(2 x ) - x sin(2 x )] 6. t = 5 and t = 5 7. a = 15 8. HTLs: y = - 4 HAs: y = ± 2 9. Equations: a) y 0 = x ( x - 2 y ) ( x - y )( x + y ) b) y 0 = - 2 x sin( x 2 )[sin(cos( x 2 )) + cos( x 2 )cos(cos( x 2 ))] c) y 0 = 1 y cos( y ) + sin( y ) + 1 d) y 0 = 1 + 8 x 1 3 3 x 2 3 Slopes at 0: a) 0 b) 0 c) 1 at (0 , 0); none (vertical) at (0 , 3 π 2 + 2 πk ) (for integers k ) d) does not exist Tangent Lines: a) HTLs: y = 1 and y = - 1 3 3 VTLs: x = - 1 and x = 1 3 3 d) HTLs: y = - 1 16 VTLs: x = 0 10. y 00 = 2 e y - (2 x - 1) 2 e 2 y 11. Derivatives: a) - e 1 - x - 3 2 x [2ln(3)] b) - 1 25 - x 2 c) x (8 - 3 x 2 ) 4 - x 2 d) e - 5 x 2 [1 - 10 x 2 ] 1
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HTLs: c) y = 16 3 3 and y = 0
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Unformatted text preview: d) y = 1 √ 10 e and y =-1 √ 10 e 12. a) NO (not continuous) b) YES f (0) = e 13. a) t = 1 and t = 4 seconds b) 38 feet 14. a) 0 b) 3 16 c) 1 2 d) 0 15. a)-. 0049005 lbs/mile b)-. 004975 lbs/mile c)-40(3960) 2 t (3960 + t 2 ) 3 lbs/min 16. cost rising on (0 , 5 2 ) ∪ (20 , ∞ ) units: dollars per thousand CDs $20000 per thousand CDs (that is, $20 per CD) 17. interval (-2,-1) only 2...
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This note was uploaded on 01/13/2010 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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E2RevAns - d) y = 1 √ 10 e and y =-1 √ 10 e 12. a) NO...

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