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EGN 3420
Exam 3
Name
_________________
Fa 06
Write your answers on the Answer Sheet only after you are sure of your answer.
Any answer crossed out will be marked wrong.
There may be more than one
correct answer from the choices.
Enter all the ones which you believe are correct.
Each correct answer is worth 5 pts
Each incorrect answer results in 2 pts deducted from your score
Blank answers result in no credit added or subtracted.
The following data was taken from an unknown function
( ).
y
f x
=
i
i
x
( )
i
i
y
f x
=
1
0
0
2
1
2
3
2
10
4
3
30
1.
The third order polynomial that passes thru all the data points is
2
3
3
0
1
2
3
( )
f x
a
a x
a x
a x
=
+
+
+
a)
0
1
2
3
1,
1,
1,
1,
a
a
a
a
=
=
=
=
b)
0
1
2
3
0,
2,
1,
0,
a
a
a
a
=
=
= 
=
c)
0
1
2
3
0,
1,
0,
1
a
a
a
a
=
=
=
=
d)
0
1
2
3
1,
0,
1,
1
a
a
a
a
=
=
= 
=
e)
0
1
2
3
0,
1,
0,
1
a
a
a
a
=
=
=
=
f)
none of the above
2.
The third order polynomial
3
(0.5)
f
=
a) 0.5
b) 0.625
c) 0.75
d) 1
e) 0
3.
The third order Lagrange polynomial
3
( )
f x
that passes thru all the data points is
a)
3
( )
(
2)(
3)
2 (
1)(
3)
(
1)(
2)
f x
x x
x
x x
x
x x
x
=





+


b)
3
( )
2 (
2)(
3) 5 (
1)(
3)
(
1)(
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This note was uploaded on 06/09/2011 for the course EGM 4320 taught by Professor Klee during the Spring '11 term at University of Central Florida.
 Spring '11
 klee

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