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New head garb has been ordered

Learn about approximation and errors in mathematics with Math for College. Explore topics like differentiation, integration, significant digits, sources of error, and binary and floating-point representation.

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New head garb has been ordered

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  1. New head garb has been ordered http://nm.mathforcollege.com

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

  3. This rapper’s name is • Tauheed Epps • 2 Chainz • Tity Boi • Kendrick Lamar 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. The form of the exact solution to is http://nm.mathforcollege.com

  7. 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

  8. 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 http://nm.mathforcollege.com

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

  10. 01.02MEASURINGERRORS http://nm.mathforcollege.com

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

  12. 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 http://nm.mathforcollege.com

  13. 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

  14. 01.03SOURCES OF ERROR http://nm.mathforcollege.com

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

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

  17. 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

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

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

  20. 01.04BINARY REPRESENTATION http://nm.mathforcollege.com

  21. (8)10=(?)2 • 1110 • 1011 • 0100 • 1000 http://nm.mathforcollege.com

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

  23. 01.05FLOATING POINT REPRESENTATION http://nm.mathforcollege.com

  24. 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

  25. 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

  26. 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

  27. 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

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

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