1. Sample Problems Calculus Bowl 2011
Sponsored by Colorado Youth Education Connection, Northrop Grumman, and Aurora Public Schools
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2. Problem 1
(d) Derivative of constant = 0

3. Problem 2
(d)

4. Problem 3
(a)

5. Problem 4
4cos(πx-2)+1=4cos[π(x+P)-2]+1 P=2

6. Problem 5
(c)

7. Problem 6
(d)

8. Problem 7
(d) Second derivative

9. Problem 8
(b) y = ln x

10. Problem 9
(e)

11. Problem 10
P(x)
(2,2)
(-1, -1)
q(-1) = p(-2) = 0

12. Problem 11 When did you have $3000 in your account? Or
When did you earn $2000 in interest? (d)

13. Problem 12
(c)

14. Problem 13
(c) y
y=p(x)

15. Problem 14
g(x)
(2,1)
(e)

16. Problem 15

17. Problem 16
2 cos(0.25θ) = 2 cos[0.25(θ+P)] (d)

18. Problem 17
(c)

19. Problem 18 c)

20. Problem 19
(a)

21. Problem 20

22. Problem 21

23. Problem 22 y x

24. Problem 23

25. Problem 24 y

26. Problem 25

27. Problem 26

28. Problem 27 y

29. Problem 28

30. Problem 29

31. Problem 30 y

32. Problem 31