7:49 PM Sat Mar 21 * 97% 2.6 Exercise Set In Exercises 10–12º, find an exponential function of the form P(t) t/T Po nT that models the situation, and then find the equivalent exponential model of the form P(t) = Po e" . 1. Doubling time of 5 yr, initial population of 450 2. Doubling time of 25 weeks, initial population of 1300 3. Tripling time of 8 months, initial population of 5000 4. Tripling time of 9 hr, initial population of 6 5. Grows 7-fold in 12 yr, initial population of 100 6. Grows 5-fold in 20 months, initial population of 35,000 7. Decreases by 10% every 2 months, initial population of 1200 8. Decreases by 25% every 36 hr, initial population of 100,000 9. Decreases by 40% every 8 weeks, initial population of 60,000 10. Decreases by 7.5% every 9 yr, initial population of 25,000 11. Increases by 50% every 6 months, initial population of 6500 12. Increases by 125% every 2 yr, initial population of 75 Differentiate. 13. y = 6* 14. y= 7* 15. g(t) = 15' 16. g(t) = 20' 17. y = 12.5* х 18. y= 19. Ax) = 3 · 5* 20. fAx) = 24 · 9* 21. v = 7** + 2 249
7:49 PM Sat Mar 21 * 97% 2.6 Exercise Set In Exercises 10–12º, find an exponential function of the form P(t) t/T Po nT that models the situation, and then find the equivalent exponential model of the form P(t) = Po e" . 1. Doubling time of 5 yr, initial population of 450 2. Doubling time of 25 weeks, initial population of 1300 3. Tripling time of 8 months, initial population of 5000 4. Tripling time of 9 hr, initial population of 6 5. Grows 7-fold in 12 yr, initial population of 100 6. Grows 5-fold in 20 months, initial population of 35,000 7. Decreases by 10% every 2 months, initial population of 1200 8. Decreases by 25% every 36 hr, initial population of 100,000 9. Decreases by 40% every 8 weeks, initial population of 60,000 10. Decreases by 7.5% every 9 yr, initial population of 25,000 11. Increases by 50% every 6 months, initial population of 6500 12. Increases by 125% every 2 yr, initial population of 75 Differentiate. 13. y = 6* 14. y= 7* 15. g(t) = 15' 16. g(t) = 20' 17. y = 12.5* х 18. y= 19. Ax) = 3 · 5* 20. fAx) = 24 · 9* 21. v = 7** + 2 249
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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Transcribed Image Text:7:49 PM Sat Mar 21
* 97%
2.6 Exercise Set
In Exercises 10–12º, find an exponential function of the form P(t)
t/T
Po nT that models the
situation, and then find the equivalent exponential model of the form P(t) = Po e" .
1. Doubling time of 5 yr, initial population of 450
2. Doubling time of 25 weeks, initial population of 1300
3. Tripling time of 8 months, initial population of 5000
4. Tripling time of 9 hr, initial population of 6
5. Grows 7-fold in 12 yr, initial population of 100
6. Grows 5-fold in 20 months, initial population of 35,000
7. Decreases by 10% every 2 months, initial population of 1200
8. Decreases by 25% every 36 hr, initial population of 100,000
9. Decreases by 40% every 8 weeks, initial population of 60,000
10. Decreases by 7.5% every 9 yr, initial population of 25,000
11. Increases by 50% every 6 months, initial population of 6500
12. Increases by 125% every 2 yr, initial population of 75
Differentiate.
13. y = 6*
14. y= 7*
15. g(t) = 15'
16. g(t) = 20'
17. y = 12.5*
х
18. y=
19. Ax) = 3 · 5*
20. fAx) = 24 · 9*
21. v = 7** + 2
249
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