Subjects
Applied Mathematics for Electrical Engineering - 3130908
Complex Variables and Partial Differential Equations - 3130005
Engineering Graphics and Design - 3110013
Basic Electronics - 3110016
Mathematics-II - 3110015
Basic Civil Engineering - 3110004
Physics Group - II - 3110018
Basic Electrical Engineering - 3110005
Basic Mechanical Engineering - 3110006
Programming for Problem Solving - 3110003
Physics Group - I - 3110011
Mathematics-I - 3110014
English - 3110002
Environmental Science - 3110007
Software Engineering - 2160701
Data Structure - 2130702
Database Management Systems - 2130703
Operating System - 2140702
Advanced Java - 2160707
Compiler Design - 2170701
Data Mining And Business Intelligence - 2170715
Information And Network Security - 2170709
Mobile Computing And Wireless Communication - 2170710
Theory Of Computation - 2160704
Semester
Semester - 1
Semester - 2
Semester - 3
Semester - 4
Semester - 5
Semester - 6
Semester - 7
Semester - 8
Applied Mathematics for Electrical Engineering
(3130908)
AMEE-3130908
Winter-2019
Question-2c ( ii )
BE | Semester-
3
Winter-2019
|
26-11-2019
Q2) (c ( ii ))
4 Marks
State Newton’s backward formula and use it to find the approximate value of f(7.5), if
x
3
4
5
6
7
8
f
x
28
65
126
317
344
513
Newton’s Backward Difference Formula
If data are
(
x
0
,
y
0
)
,
(
x
1
,
y
1
)
,
…
,
(
x
n
,
y
n
)
. Where,
x
0
,
x
1
,
x
2
,
…
,
x
n
are equally spaced,v
f
(
x
)
=
y
=
y
n
+
p
∇
y
n
+
p
(
p
+
1
)
2
!
∇
2
y
n
+
p
(
p
+
1
)
(
p
+
2
)
3
!
∇
3
y
n
+
⋯
Where,
p
=
x
-
x
0
h
;
x
n
is the last point.
x
f
(
x
)
∇
f
(
x
)
∇
2
f
(
x
)
∇
3
f
(
x
)
∇
4
f
(
x
)
∇
5
f
(
x
)
3
28
37
4
65
24
61
6
5
126
30
0
91
6
0
6
217
36
0
127
6
7
344
42
169
8
513
Here,
p
=
x
-
x
n
h
=
7
.
5
-
8
1
=
-
0
.
5
The Newton’s forward difference formula is
f
(
x
)
=
y
=
y
n
+
p
∇
y
n
+
p
(
p
+
1
)
2
!
∇
2
y
n
+
p
(
p
+
1
)
(
p
+
2
)
3
!
∇
3
y
n
+
⋯
f
(
x
)
=
y
=
513
+
-
0
.
5
169
+
1
2
!
-
0
.
5
-
0
.
5
+
1
42
+
1
3
!
-
0
.
5
-
0
.
5
+
1
-
0
.
5
+
2
6
+
0
+
0
f
(
x
)
=
513
-
84
.
5
-
5
.
25
-
0
.
375
f
(
x
)
=
422
.
875
Questions
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Q1
(a)
Q1
(b)
Q1
(c ( i ))
Q1
(c ( ii ))
Q2
(a)
Q2
(b)
Q2
(c ( i ))
Q2
(c ( ii ))
Q2
(c ( i ))
(OR)
Q2
(c ( ii ))
(OR)
Q3
(a)
Q3
(b)
Q3
(c ( i ))
Q3
(c ( ii ))
Q3
(a)
(OR)
Q3
(b)
(OR)
Q3
(c ( i ))
(OR)
Q3
(c ( ii ))
(OR)
Q4
(a)
Q4
(b)
Q4
(c ( i ))
Q4
(c ( ii ))
Q4
(a)
(OR)
Q4
(b)
(OR)
Q4
(c ( i ))
(OR)
Q4
(c ( ii ))
(OR)
Q5
(a)
Q5
(b)
Q5
(c ( i ))
Q5
(c ( ii ))
Q5
(a)
(OR)
Q5
(b)
(OR)
Q5
(c ( i ))
(OR)
Q5
(c ( ii ))
(OR)