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 MULTIPLE CHOICE TEST MEASURING ERROR INTRO TO SCIENTIFIC COMPUTING

Q1. True error is defined as

Present Approximation – Previous Approximation

True Value – Approximate Value

abs (True Value – Approximate Value)

abs (Present Approximation – Previous Approximation)

Q2. The expression for true error in calculating the derivative of sin(2x) at x= Π/4 by using the approximate expression

is

[h-cos(2h)-1]/h

[h-cos(h)-1]/h
[1-cos(2h)]/h

sin(2h)/h

Q3. The relative approximate error at the end of an iteration to find the root of an equation is 0.004%.  The least number of significant digits we can trust in the solution is

2
3
4
5

Q4. The number 0.01850x103 has ________ significant digits

3

4

5

6

Q5. The following gas stations were cited for irregular dispensation by the Department of Agriculture.  Which one cheated you the most?

 Station Actual gasoline dispensed Gasoline reading at pump Ser Cit Hus She 9.90 19.90 29.80 29.95 10.00 20.00 30.00 30.00

Ser
Cit
Hus
She

Q6. The number of significant digits in the number 219900 is

4
5
6
4 or 5 or 6

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