Pre-Calc Homework Solutions 262

Pre-Calc Homework Solutions 262 - 262 Section 6.4 26. 0.16...

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22. continued (c) e 2 kt 5 0.16 2 kt 5 ln 0.16 t 52} ln 0 k .16 }52 } 5700 ln ln 2 0.16 } < 15,070 years The animal died about 15,070 years before A . D . 2000, in 13,070 B . C . 23. Note that the total mass is 66 1 7 5 73 kg. v 5 v 0 e 2 ( k / m ) t v 5 9 e 2 3.9 t /73 (a) s ( t ) 5 E 9 e 2 3.9 t /73 dt 52} 21 1 9 3 0 } e 2 3.9 t /73 1 C Since s (0) 5 0 we have C 5 } 21 1 9 3 0 } and lim t s ( t ) 5 lim t } 21 1 9 3 0 } (1 2 e 2 3.9 t /73 ) 5 } 21 1 9 3 0 } < 168.5 The cyclist will coast about 168.5 meters. (b) 1 5 9 e 2 3.9 t /73 } 3 7 .9 3 t } 5 ln 9 t 5 } 73 3 l .9 n9 } < 41.13 sec It will take about 41.13 seconds. 24. v 5 v 0 e 2 ( k / m ) t v 5 9 e 2 (59,000/51,000,000) t v 5 9 e 2 59 t /51,000 (a) s ( t ) 5 E 9 e 2 59 t /51,000 dt 52 } 459 5 , 9 000 } e 59 t /51,000 1 C Since s (0) 5 0, we have C 5 } 459 5 , 9 000 } and lim t s ( t ) 5 lim t } 459 5 , 9 000 } (1 2 e 2 59 t /51,000 ) 5 } 459 5 , 9 000 } < 7780 m The ship will coast about 7780 m, or 7.78 km.
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

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