E2FreeAns

# E2FreeAns - x = √ x-5(2 √ x-5 2 HTLs x = 25 4a √ 2...

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Answers – Fall 2009 Exam 2 version A 1a. lim h 0 1 h h 2 2 x + 2 h + 1 - 2 2 x + 1 i = ... = - 4 (2 x + 1) 2 1b. y = - 4 x + 2 2. dH dt = 250 ft/sec 3a. g 0 ( x ) = ( x 2 - 1) 1 / 3 [11 x 2 - 3] ; HTLs: x = ± 1; ± q 3 11 3b. h 0 ( x ) = x - 3 (2 x - 3) 2 ; HTLs: x = 9 4a. ( 0 , 3 ) 4b. t = 3 ; 18 feet 5a. 2 L/min 5b. V 0 ( t ) = - 20(10 - 6 t + t ) - 2 ± - 3 t + 1 ² ; t = 9 5c. 20 liters 6. domain: x 6 = - 2 crit num: 0,6 inc: ( - 2 , 0 ) , ( 0 , 6 ) dec: ( -∞ , - 2 ) , ( 6 , ) VTL: none; HTL: at x = 0 , 6 Local min: none; Local max at: x = 6

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Answers – Fall 2009 Exam 2 version B 1a. lim h 0 1 h h 4 2 + x + h - 4 2 + x i = ... = - 4 (2 + x ) 2 1b. y = - x + 2 2. dH dt = 250 ft/sec 3a. g 0 ( x ) = ( x 2 - 4) 2 / 3 [13 x 2 - 12] ; HTLs: x = ± 2; ± q 12 13 3b. h
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Unformatted text preview: ( x ) = √ x-5 (2 √ x-5) 2 ; HTLs: x = 25 4a. ( √ 2 , ∞ ) 4b. t = √ 2 ; -16 feet 5a.-3 / 4 L/min 5b. V ( t ) =-40(20-8 √ t + t )-2 ±-4 √ t + 1 ² ; t = 16 5c. 10 liters 6. domain: x 6 = 1 crit num: 0,3 inc: (-∞ , 0 ) , ( 0 , 1 ) , ( 3 , ∞ ) dec: ( 1 , 3 ) VTL: none; HTL: at x = 0 , 3 Local min at: x = 3 ; Local max: none...
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E2FreeAns - x = √ x-5(2 √ x-5 2 HTLs x = 25 4a √ 2...

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