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INTRODUCTION, APPROXIMATION AND ERRORS

Identify the picture of your instructor A. B. C. D.

INTRODUCTION

To find velocity from acceleration vs time data, the mathematical procedure used is A.Differentiation B.Integration

The form of the exact solution to is A.. B.. C.. D..

Given the f (x) vs x curve, and the magnitude of the areas as shown, the value of y x a b c A.-2 B.2 C.12 D.Cannot be determined

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

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01.02 MEASURING ERRORS

The number of significant digits in is A.3 B.4 C.5 D.6

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

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 %

SOURCES OF ERROR

Dreaming

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

The number with 3 significant digits with rounding is A.6.74 B.6.75 C D.6.750

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

The number with 3 significant digits with chopping is A.6.74 B.6.75 C D.6.750

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01.04 BINARY REPRESENTATION

This is what you have been saying about your TI-30Xa 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!

(8) 10 =(?) 2 A.1110 B.1011 C.0100 D.1000

The binary representation of (0.3) 10 is A.( ……...) 2 B.( ……...) 2 C.( ……...) 2 D.( ……...) 2

FLOATING POINT REPRESENTATION

Smallest positive number in a 7 bit word where 1 st bit is used for sign of number, 2 nd bit for sign of exponent, 3 bits for mantissa and 2 bits for exponent A B C D.1.000

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

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01.07 TAYLOR SERIES

Taylor series 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] is only valid

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(01011) 2 =(?) 10 A.7 B.11 C.15 D.22

The machine epsilon in a 7 bit number where 1 st bit is used for sign of number, 2 nd bit for sign of exponent, 3 bits for mantissa and 2 bits for exponent A B.0.25 C.0.5 D.1.0

The number of significant digits in is A.4 B.5 C.6 D.7

The number of significant digits in 2350 is A.3 B.4 C.5 D.3 or 4

To find velocity from location vs time data of the body, the mathematical procedure used is A.Differentiation B.Integration

Given y= sin(2x), dy/dx at x=3 is

In a five bit fixed representation, (0.1) 10 is represented as ( ) 2. The true error in this representation most nearly is A B C D.9.5x10 -8

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.

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

Largest positive number in a 7 bit number where 1 st bit is used for sign of number, 2 nd bit for sign of exponent, 3 bits for mantissa and 2 bits for exponent A B.4 C.7 D.15