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E4FreeAns - / 3) 2c. 25 ln(1 + 3 e 2 t ) + C ; 2d. 1 5-[25...

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Answers – Fall 2009 Exam 4 version A 1a. v ( t ) = 300 - 300(1 + 3 t ) - 2 1b. s ( t ) = 300 t + 100(1 + 3 t ) - 1 - 100 1c. 1125 / 4 microns/sec; 225 microns 2a. 50 2b. k = - ln(1 / 2) = ln(2) 2c. 25 ln(1 + 2 e 2 t ) + C ; 2d. 1 5 - 0 [25 ln(1 + 2 e 10 ) - 25 ln(1 + 2 e 0 )] ; 3a. 2 ln(2) + 2 ln(4) + 2 ln(6) = 2 ln(48) 3b. Show F 0 ( x ) = ln( x ) 3c. [8 ln(8) - 8] - [2 ln(2) - 2] = 22 ln(2) - 6 4. 7 2 ( x - 1) 8 - 4( x - 1) 7 + C 5a. Z 0 - 2 - (4 x - x 2 ) d x + Z 3 0 (4 x - x 2 ) d x 5b. Z 3 0 (4 x - x 2 ) - ( x ) d x + Z 4 3 ( x ) - (4 x - x 2 ) d x

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Answers – Fall 2009 Exam 3 version B 1a. v ( t ) = 200 - 200(1 + 2 t ) - 2 1b. s ( t ) = 200 t + 100(1 + 2 t ) - 1 - 100 1c. 192 microns/sec; 320 microns 2a. 50 2b. k = - ln(3 / 4) = ln(4
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Unformatted text preview: / 3) 2c. 25 ln(1 + 3 e 2 t ) + C ; 2d. 1 5-[25 ln(1 + 3 e 10 )-25 ln(1 + 3 e )] ; 3a. 2 ln(3) + 2 ln(5) + 2 ln(7) = 2 ln(105) 3b. Show F ( x ) = ln( x ) 3c. [9 ln(9)-9]-[3 ln(3)-3] = 15 ln(3)-6 4. 25 6 ( x + 2) 6-10( x + 2) 5 + C 5a. Z-2 ( x 2-5 x )-( x ) d x + Z 6 ( x )-( x 2-5 x ) d x 5b. Z 5-( x 2-5 x ) d x + Z 6 5 ( x 2-5 x ) d x...
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This note was uploaded on 12/27/2011 for the course MAC 2233 taught by Professor Smith during the Spring '08 term at University of Florida.

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E4FreeAns - / 3) 2c. 25 ln(1 + 3 e 2 t ) + C ; 2d. 1 5-[25...

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