1. NCR Register http://nm.mathforcollege.com

2. INTRODUCTION, APPROXIMATION AND ERRORS

3. http://nm.mathforcollege.com Identify the picture of your instructor A. B. C. D. 7

4. http://nm.mathforcollege.com 01.01 INTRODUCTION

5. http://nm.mathforcollege.com To find velocity from location vs time data of the body, the mathematical procedure used is A.Differentiation B.Integration

6. http://nm.mathforcollege.com To find velocity from acceleration vs time data, the mathematical procedure used is A.Differentiation B.Integration

7. http://nm.mathforcollege.com The form of the exact solution to is A. B. C. D.

8. http://nm.mathforcollege.com Given the f (x) vs x curve, and the magnitude of the areas as shown, the value of y x a 5 7 2 b c A.-2 B.2 C.12 D.Cannot be determined

9. http://nm.mathforcollege.com Given y= sin(2x), dy/dx at x=3 is A.0.9600 B.0.9945 C.1.920 D.1.989

10. http://nm.mathforcollege.com A steel cylindrical shaft at room temperature is immersed in a dry-ice/alcohol bath. A layman estimates the reduction in diameter by using while using the value of the thermal expansion coefficient at -108 o F. Seeing the graph below, the magnitude of contraction you as a USF educated engineer would calculate would be ______________than the layman’s estimate. A.Less B.More C.Same

11. END http://nm.mathforcollege.com

12. 01.02 MEASURING ERRORS

13. http://nm.mathforcollege.com The number of significant digits in 2.30500 is A.3 B.4 C.5 D.6 7

14. http://nm.mathforcollege.com The number of significant digits in 0.0023406 is A.4 B.5 C.6 D.7

15. http://nm.mathforcollege.com The number of significant digits in 2350 is A.3 B.4 C.5 D.3 or 4

16. http://nm.mathforcollege.com The absolute relative approximate error in an iterative process at the end of the tenth iteration is 0.007%. The least number of significant digits correct in the answer is A.2 B.3 C.4 D.5 7

17. http://nm.mathforcollege.com Three significant digits are expected to be correct after an iterative process. The pre-specified tolerance in this case needs to be less than or equal to A.0.5% B.0.05% C.0.005% D.0.0005%

18. http://nm.mathforcollege.com 01.03 SOURCES OF ERROR

19. Dreaming http://nm.mathforcollege.com

20. The error caused by representing numbers such as 1/3 approximately is called A.Round-off error B.Truncation error

21. http://nm.mathforcollege.com The number 6.749832 with 3 significant digits with rounding is A.6.74 B.6.75 C.6.749 D.6.750

22. http://nm.mathforcollege.com The error caused by using only a few terms of the Maclaurin series to calculate e x results mostly in A.Truncation Error B.Round off Error

23. http://nm.mathforcollege.com The number 6.749832 with 3 significant digits with chopping is A.6.74 B.6.75 C.6.749 D.6.750

24. END http://nm.mathforcollege.com

25. 01.04 BINARY REPRESENTATION

26. This is what you have been saying about your TI-30Xa http://nm.mathforcollege.com A.I don't care what people say The rush is worth the price I pay I get so high when you're with me But crash and crave you when you are away B.Give me back now my TI89 Before I start to drink and whine TI30Xa calculators make me cry Incarnation of of Jason will you ever die C.TI30Xa – you make me forget the high maintenance TI89. D.I never thought I will fall in love again!

27. http://nm.mathforcollege.com (8) 10 =(?) 2 A.1110 B.1011 C.0100 D.1000

28. http://nm.mathforcollege.com (01011) 2 =(?) 10 A.7 B.11 C.15 D.22

29. http://nm.mathforcollege.com The binary representation of (0.3) 10 is A.(0.01001……...) 2 B.(0.10100……...) 2 C.(0.01010……...) 2 D.(0.01100……...) 2

30. http://nm.mathforcollege.com In a five bit fixed representation, (0.1) 10 is represented as (0.00011) 2. The true error in this representation most nearly is A.0.00625 B.0.053125 C.0.09375 D.9.5x10 -8

31. http://nm.mathforcollege.com 01.05 FLOATING POINT REPRESENTATION

32. http://nm.mathforcollege.com Using fixed point representation in a computer puts a upper bound on the ________________ in representing a number. A.Absolute true error B.Relative absolute true error

33. http://nm.mathforcollege.com Using floating point representation in a computer puts a upper bound on the ________________ in representing a number. A.Absolute true error B.Relative absolute true error

34. http://nm.mathforcollege.com The absolute relative true error in a floating point representation using chopping for a number is less than A.Machine epsilon B.2 -bits used for exponent

35. http://nm.mathforcollege.com The smallest positive number in a 7 bit word where 1 st bit is used for the sign of number, 2 nd bit is used for the sign of exponent, next 3 bits are used for the magnitude of the mantissa and the last 2 bits are used for the magnitude of the exponent is __________. A.0.000 B.0.125 C.0.250 D.1.000

36. http://nm.mathforcollege.com Five bits are used for the biased exponent. To convert a biased exponent to an unbiased exponent, you would A.add 7 B.subtract 7 C.add 15 D.subtract 15

37. http://nm.mathforcollege.com The largest positive number in a 7 bit word where 1 st bit is used for the sign of number, 2 nd bit is used for the sign of exponent, next 3 bits are used for the magnitude of the mantissa and the last 2 bits are used for the magnitude of the exponent is _________ A.1.875 B.4 C.7 D.15

38. http://nm.mathforcollege.com The machine epsilon in a 7 bit word where 1 st bit is used for the sign of number, 2 nd bit is used for the sign of exponent, next 3 bits are used for the magnitude of the mantissa and the last 2 bits are used for the magnitude of the exponent is _________ A.0.125 B.0.25 C.0.5 D.1.0

39. END http://nm.mathforcollege.com

40. 01.07 TAYLOR SERIES

41. http://nm.mathforcollege.com Taylor series (given below) is only valid A.if values of h are small B.if function and all its derivatives are defined and continuous at x C.if function and all its derivatives are defined and continuous in [x,x+h]

42. END http://nm.mathforcollege.com

43. What will Maury Povich say when he dies, goes to heaven, and sees God? A.Why am I here; I should be with the lawyers. B.Is Connie here? C.You are the Father. D.You are not the father.

44. I walk like a pimp – Jeremy Reed You know it's hard out here for a pimp, When he tryin’ to get this money for the rent, For the Cadillacs and gas money spent