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MULTIPLE CHOICE TEST

(All Tests)

DIRECT INTERPOLATION

(More on Direct Interpolation)

INTERPOLATION

(More on Interpolation)

 

Pick the most appropriate answer.


Q1. Given n+1 data pairs, a unique polynomial of degree ________________ passes through the n+1 data points
n+1

n+1 or less
n
n or less


Q2. The following data of the velocity of a body is given as a function of time.

Time (s)

0

15

18

22

24

Velocity (m/s)

22

24

37

25

123

The velocity in m/s at 16 s using linear polynomial interpolation is most nearly

27.867
28.333
30.429
43.000


Q3. The following data of the velocity of a body is given as a function of time. 

Time (s)

0

15

18

22

24

Velocity (m/s)

22

24

37

25

123

The velocity in m/s at t=16 s using quadratic polynomial interpolation is most nearly

27.867
28.333
30.429
43.000


Q4. The following data of the velocity of a body is given as a function of time

Time (s)

0

15

18

22

24

Velocity (m/s)

22

24

37

25

123

Using quadratic interpolation, the interpolant

approximates the velocity of the body between 18 and 24 seconds.  From this information, one of the times at which the velocity of the body is 35 m/s during the above time interval of t=18 s to 24 s is

18.67 s
20.85 s

22.20 s
22.29 s


Q5. The following data of the velocity of a body is given as a function of time.

Time (s)

0

15

18

22

24

Velocity (m/s)

22

24

37

25

123

One of the interpolant approximations from the above data is given as

Using the above interpolant, the distance in meters covered by the body between t=19 s and t=22 s is most nearly

10.50

88.50

93.00

168.00


Q6. The following data of the velocity of a body is given as a function of time

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, the three data points of time that you would you choose for interpolation are

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


 

Complete Solution

 

Multiple choice questions on other topics


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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# Creative Commons License0126793, 0341468, 0717624,  0836981, 0836916, 0836805, 1322586.  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.  Based on a work at http://mathforcollege.com/nm.  Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

 

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