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NCR Register

NCR Register. INTRODUCTION, APPROXIMATION AND ERRORS. Identify the picture of your instructor. 7. 01.01 INTRODUCTION. To find velocity from location vs time data of the body, the mathematical procedure used is. Differentiation Integration.

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NCR Register

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

  2. INTRODUCTION, APPROXIMATION AND ERRORS http://nm.mathforcollege.com

  3. Identify the picture of your instructor 7 http://nm.mathforcollege.com

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

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

  6. To find velocity from acceleration vs time data, the mathematical procedure used is • Differentiation • Integration 30 http://nm.mathforcollege.com

  7. The form of the exact solution to is 30 http://nm.mathforcollege.com

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

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

  10. 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 -108oF. Seeing the graph below, the magnitude of contraction you as a USF educated engineer would calculate would be ______________than the layman’s estimate. • Less • More • Same 30 http://nm.mathforcollege.com

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

  12. 01.02MEASURINGERRORS http://nm.mathforcollege.com

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

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

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

  16. 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 • 2 • 3 • 4 • 5 7 http://nm.mathforcollege.com

  17. 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 • 0.5% • 0.05% • 0.005% • 0.0005% http://nm.mathforcollege.com

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

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

  20. The error caused by representing numbers such as 1/3 approximately is called • Round-off error • Truncation error http://nm.mathforcollege.com

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

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

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

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

  25. 01.04BINARY REPRESENTATION http://nm.mathforcollege.com

  26. This is what you have been saying about your TI-30Xa • I don't care what people say The rush is worth the priceI pay I get so high when you're with meBut crash and crave you when you are away • Give me back now my TI89Before I start to drink and whine TI30Xa calculators make me cryIncarnation of of Jason will you ever die • TI30Xa – you make me forget the high maintenance TI89. • I never thought I will fall in love again! http://nm.mathforcollege.com

  27. (8)10=(?)2 • 1110 • 1011 • 0100 • 1000 http://nm.mathforcollege.com

  28. (01011)2 =(?)10 • 7 • 11 • 15 • 22 http://nm.mathforcollege.com

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

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

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

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

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

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

  35. The smallest positive number in a 7 bit word where 1st bit is used for the sign of number, 2nd 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 __________. • 0.000 • 0.125 • 0.250 • 1.000 http://nm.mathforcollege.com

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

  37. The largest positive number in a 7 bit word where 1st bit is used for the sign of number, 2nd 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 _________ • 1.875 • 4 • 7 • 15 http://nm.mathforcollege.com

  38. The machine epsilon in a 7 bit word where 1st bit is used for the sign of number, 2nd 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 _________ • 0.125 • 0.25 • 0.5 • 1.0 http://nm.mathforcollege.com

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

  40. 01.07TAYLOR SERIES http://nm.mathforcollege.com

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

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

  43. What will Maury Povich say when he dies, goes to heaven, and sees God? • Why am I here; I should be with the lawyers. • Is Connie here? • You are the Father. • You are not the father. http://nm.mathforcollege.com

  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

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