Mathematics 2121-01
Calculus for Life Sciences I
Fall 02
Dr. A. Shlapentokh
Test #3

1. Compute the derivative: .
(a)
(b)
(c)
(d)
(e) None of the above
2. Compute the derivative: .
(a)
(b)
(c)
(d)
(e) None of the above
3. Compute the derivative: .
(a)
(b)
(c)
(d)
(e) None of the above
4. Compute the derivative: .
(a)
(b)
(c)
(d)
(e) None of the above
5. Compute the derivative: .
(a)
(b)
(c)
(d)
(e) None of the above
6. Compute the derivative: .
(a)
(b)
(c)
(d)
(e) None of the above
7. Suppose and are functions defined and differentiable everywhere. Suppose . What is ?
(a) 8
(b) 3
(c) 4
(d) 2
(e) None of the above
8. Compute the third derivative of .
(a)
(b)
(c)
(d)
(e) None of the above
9. Compute the second derivative of .
(a)
(b)
(c)
(d)
(e) None of the above
10. Simplify .
(a) 30
(b)
(c)
(d)
(e) None of the above
11. Simplify .
(a)
(b)
(c)
(d)
(e) None of the above
12. Express the following in scientific notations: .
(a)
(b)
(c)
(d)
(e) None of the above
13. Express the following in scientific notations: .
(a)
(b)
(c)
(d)
(e) None of the above
14. Express the following in scientific notations: .
(a)
(b)
(c)
(d)
(e) None of the above
15. Compute: .
(a) 1
(b) 2
(c) 3
(d) 4
(e) None of the above
16. Compute: .
(a) 3
(b) 3/2
(c)
(d) 9
(e) None of the above
17. Compute: .
(a) 1
(b) 2
(c) 3
(d) 0
(e) None of the above
18. Solve: .
(a)
(b)
(c)
(d) No solutions
(e) None of the above
19. Solve: .
(a)
(b)
(c)
(d) No solutions
(e) None of the above
20. Suppose and are related by the formula , where and . What is the relationship between and ?
(a)
(b)
(c)
(d)
(e) None of the above
21. Suppose and are related by the formula , where . What is the relationship between and ?
(a)
(b)
(c)
(d)
(e) None of the above
22. Compute the derivative: .
(a)
(b)
(c)
(d)
(e) None of the above
23. Compute the derivative: .
(a)
(b)
(c)
(d)
(e) None of the above
24. Compute the derivative: .
(a)
(b)
(c)
(d)
(e) None of the above
25. Compute the derivative: .
(a)
(b)
(c)
(d)
(e) None of the above
26. Compute the derivative: .
(a)
(b)
(c)
(d)
(e) None of the above
27. Compute the derivative: .
(a)
(b)
(c)
(d)
(e) None of the above
28. Compute the derivative: .
(a)
(b)
(c)
(d)
(e) None of the above
29. Compute the third derivative of .
(a)
(b)
(c)
(d)
(e) None of the above
30. Compute the derivative: .
(a)
(b)
(c)
(d)
(e) None of the above
31. Compute the derivative: .
(a)
(b)
(c)
(d)
(e) None of the above
32. Compute the derivative: .
(a)
(b)
(c)
(d)
(e) None of the above
33. Compute the derivative: .
(a)
(b)
(c)
(d)
(e) None of the above
34. Compute the derivative: .
(a)
(b)
(c)
(d)
(e) None of the above
35. Compute the second derivative of .
(a)
(b)
(c)
(d)
(e) None of the above
36. A certain population is growing exponentially at the annual rate of 2%. In 1998 the population was 100. Write down the formula for population as a function of number of years since 1998 in the form .
(a)
(b)
(c)
(d)
(e) None of the above
37. A certain element is decaying exponentially and has a half life of 2 seconds. How long will it take it to loose 4/5-th of its original amount ? (Round your answer to one tenth.)
(a) Approximately 4.6 seconds
(b) Approximately 3.4 seconds
(c) Approximately 4.0 seconds
(d) Approximately 4.3 seconds
(e) None of the above
38. A certain population is growing exponentially at the annual rate of 3%. How long will it take for the population to triple ? (Round your answer to one tenth.)
(a) Approximately 30.1 years.
(b) Approximately 37.2 years.
(c) Approximately 33.1 years.
(d) Approximately 36.5 years.
(e) None of the above
Key
1(d), 2(b), 3(b), 4(b), 5(a), 6(e), 7(a), 8(c), 9(b), 10(b), 11(a), 12(a), 13(b), 14(c), 15(e), 16(d), 17(e), 18(d), 19(a), 20(b), 21(a), 22(d), 23(a), 24(a), 25(b), 26(b), 27(c), 28(c), 29(d), 30(b), 31(d), 32(d), 33(c), 34(b), 35(c), 36(d), 37(a), 38(b)





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