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MULTIPLE CHOICE TEST

(All Tests)

NEWTON'S DIVIDED DIFFERENCE INTERPOLATION

(More on Newton's Divided Difference Interpolation)

INTERPOLATION

(More on Interpolation)

Pick the most appropriate answer.


If a polynomial of degree n has n+1 zeros, then the polynomial is

oscillatory
zero everywhere
quadratic
not defined


The following x-y data is given

x

15

18

22

y

24

37

25

The Newton’s divided difference second order polynomial for the above data is given by 

The value of is

-1.048

0.1433
4.333
24.00


The polynomial that passes through the following x-y data 

x

18

22

24

y

?

25

123

is given by

The corresponding polynomial using Newton’s divided difference polynomial is given by

The value of is

0.2500
8.125
24.00
not obtainable with the information given


Velocity vs. time data for a body is approximated by a second order Newton’s divided difference polynomial as

The acceleration at is

0.5540 m/s2

39.622 m/s2
36.852 m/s2
not obtainable with the given information


A robot is following a path on a x-y plane is found by interpolating four data points as

x

2

45

5.5

7

y

7.5

7.5

6

5

The length of the path from x = 2 to x = 7 is

 

 

 

 


The following data of the velocity of a body as a function of time is given

Time (s)

0

15

18

22

24

Velocity (m/s)

22

24

37

25

123

If you were going to use quadratic interpolation to find the value of the velocity at t=14.9 seconds, what three data points of time would you choose for interpolation?  Justify your answer.

0, 15, 18
15, 18, 22
0, 15, 22
0, 18, 24


 

Multiple choice questions on other topics

Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468 and 0717624.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.