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MULTIPLE CHOICE TEST

(All Tests)

SPLINE INTERPOLATION

(More on Spline Interpolation)

INTERPOLATION

(More on Interpolation)

Pick the most appropriate answer.


Given n data points, , , …….. For conducting quadratic spline interpolation the x-data needs to be
equally spaced
in ascending or descending order
integers
positive


In cubic spline interpolation,

the first derivatives of the splines are continuous at the interior data points

the second derivatives of the splines are continuous at the interior data points
the first and the second derivatives of the splines are continuous at the interior data points

the third derivatives of the splines are continuous at the interior data points


The following incomplete y vs. x data is given

x

1

2

4

6

7

y

5

11

????

????

32

The data is fit by quadratic spline interpolants given by

where a, b, c, d, are constants.  The value of c is most nearly

-303.0
-144.5
-0.000
14.00


The following incomplete y vs. x data is given

x

1

2

4

6

7

y

5

11

????

????

32

The data is fit by quadratic spline interpolants given by

     

where a, b, c, d, e, f, g are constants.  The value of df/dx  at x=2.6 is most nearly

-144.5

-4.000

3.600
12.20


 The following incomplete y vs. x data is given

 

x

1

2

4

6

7

y

5

11

????

????

32

The data is fit by quadratic spline interpolants is given by

     

    

    

     

where a, b, c, d are constants.  What is the value of ?

23.50

25.67

26.42

28.00


A robot needs to follow a path that passes through six points as shown in the figure.  To find the shortest path that is also smooth you would recommend

Pass a fifth order polynomial through the data.

Pass linear splines through the data
Pass quadratic splines through the data

Regress the data to a second order polynomial

 


 

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.