ncr register
TRANSCRIPT
NCR Register
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INTRODUCTION, APPROXIMATION AND ERRORS
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Identify the picture of your instructor
A. B. C. D.
25% 25%25%25%A.
B.
C.
D.
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01.01INTRODUCTION
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To find velocity from acceleration vs time data, the mathematical procedure used is
A. B.
0%0%
A. DifferentiationB. Integration
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The form of the exact solution to
A. B. C. D.
0% 0%0%0%
xx BeAe 5.1
xx BxeAe 5.1
xx BeAe 5.1
xx BxeAe 5.1
5)0(,32 yeydx
dy x is
A. .B. .C. . D. .
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Given the f (x) vs x curve, and the
magnitude of the areas as shown, the
value of
A. B. C. D.
25% 25%25%25%
b
dxxf0
)(y
xa5
7
2b cA. -2B. 2C. 12D. Cannot be
determined
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A. B. C.
0% 0%0%
TDD
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.
A. LessB. MoreC. Same
END
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01.02MEASURING
ERRORS
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The number of significant digits in 2.30500 is
A. B. C. D.
0% 0%0%0%
A. 3B. 4C. 5D. 6
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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. B. C. D.
0% 0%0%0%
A. 2B. 3C. 4D. 5
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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. B. C. D.
0% 0%0%0%
A. 0.5%B. 0.05%C. 0.005%D. 0.0005%
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01.03SOURCES OF
ERROR
Dreaming
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The error caused by representing numbers such as 1/3 approximately is called
A. B.
0%0%
A. Round-off errorB. Truncation error
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The number 6.749832 with 3 significant digits with rounding is
A. B. C. D.
0% 0%0%0%
A. 6.74B. 6.75C. 6.749D. 6.750
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The error caused by using only a few terms of the Maclaurin series to calculate ex results mostly in
A. B.
0%0%
A. Truncation ErrorB. Round off Error
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The number 6.749832 with 3 significant digits with chopping is
A. B. C. D.
0% 0%0%0%
A. 6.74B. 6.75C. 6.749D. 6.750
END
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01.04BINARY
REPRESENTATION
This is what you have been saying about your TI-30Xa
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A. B. C. D.
25% 25%25%25%A. 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
B. Give me back now my TI89Before I start to drink and whine TI30Xa calculators make me cryIncarnation 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!
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(8)10=(?)2
A. B. C. D.
0% 0%0%0%
A. 1110B. 1011C. 0100D. 1000
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The binary representation of (0.3)10 is
A. B. C. D.
0% 0%0%0%
A. (0.01001……...)2
B. (0.10100……...)2
C. (0.01010……...)2
D. (0.01100……...)2
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01.05FLOATING POINT REPRESENTATIO
N
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Smallest positive number in a 7 bit word where 1st bit is used for sign of number, 2nd bit for sign of exponent, 3 bits for mantissa and 2 bits for exponent
A. B. C. D.
0% 0%0%0%
A. 0.000B. 0.125C. 0.250D. 1.000
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Five bits are used for the biased exponent. To convert a biased exponent to an unbiased exponent, you would
A. B. C. D.
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A. add 7B. subtract 7C. add 15D. subtract 15
END
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01.07TAYLOR SERIES
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Taylor series
A. B. C.
0% 0%0%
32
!3!2h
xfh
xfhxfxfhxf
A. if values of h are smallB. 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]
is only valid
END
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(01011)2 =(?)10
A. B. C. D.
0% 0%0%0%
A. 7B. 11C. 15D. 22
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The machine epsilon in a 7 bit number where 1st bit is used for sign of number, 2nd bit for sign of exponent, 3 bits for mantissa and 2 bits for exponent
A. B. C. D.
25% 25%25%25%
A. 0.125B. 0.25C. 0.5D. 1.0
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The number of significant digits in 0.0023406 is
A. B. C. D.
0% 0%0%0%
A. 4B. 5C. 6D. 7
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The number of significant digits in 2350 is
A. B. C. D.
0% 0%0%0%
A. 3B. 4C. 5D. 3 or 4
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To find velocity from location vs time data of the body, the mathematical procedure used is
A. B.
0%0%
A. DifferentiationB. Integration
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Given y= sin(2x), dy/dx at x=3 is
1 2 3 4
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1. 0.96002. 0.99453. 1.9204. 1.989
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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. B. C. D.
0% 0%0%0%
A. 0.00625B. 0.053125C. 0.09375D. 9.5x10-8
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What will Maury Povich say when he dies, goes to heaven, and sees God?
A. B. C. D.
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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.
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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Largest positive number in a 7 bit number where 1st bit is used for sign of number, 2nd bit for sign of exponent, 3 bits for mantissa and 2 bits for exponent
A. B. C. D.
0% 0%0%0%
A. 1.875B. 4C. 7D. 15