A disease has hit a city. The percentage of the population infected t days after the disease arrives is approximated by p(t)equals8 t e Superscript negative t divided by 11 for 0less than or equalstless than or equals44. After how many days is the percentage of infected people a maximum? What is the maximum percent of the population infected?

A. The percentage of infected people reaches a maximum after__ days.

B. The maximum percent of the population infected is __%.

A 11 days

B. 32.37%

Step-by-step explanation:

percentage of infected people a maximum when p '(t) = 0

==>

==>

==> p(11) = 88/e = 25.752 %

=32.37%

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1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068