Questions
for Mid Term Exam:
1.
Bisection
Method.
§ Find
a real root of the equation x³-x-1 = 0 correct to three decimal places.
2.
Newton-Raphson
Method.
§ Solve
the equation x³-x-1 = 0 correct to three decimal places by this method.
§ Solve
the equation x = ℮-x correct to three decimal places.
3.
Newton’s
Forward Difference Interpolation Method.
§ Values
of x and the corresponding values of y are given below:
x
|
0
|
1
|
2
|
3
|
y
|
1
|
0
|
1
|
10
|
Find
the value of y when x = 0.5
§ Values
of x and y are given below:
x
|
1
|
2
|
3
|
4
|
5
|
y
|
-1
|
7
|
27
|
65
|
127
|
Find
the value of y when x = 1.5
4.
Newton’s
Backward Difference Interpolation Method.
§ Values
of x and y are given below:
x
|
0
|
1
|
2
|
3
|
y
|
1
|
0
|
1
|
10
|
Find
the value of y when x = 2.8
5.
Newton’s
General Interpolation Method.
§ Values
of x and y are given as follows:
x
|
-1
|
0
|
3
|
6
|
7
|
y
|
3
|
-6
|
39
|
822
|
611
|
a) Find
the value of y when x = 2
b) Find
y as a polynomial of x.
6. Lagrange’s Interpolation Method.
§
Values
of x and y are given below:
x
|
300
|
304
|
305
|
307
|
y
|
2.4771
|
2.4829
|
2.4843
|
2.4871
|
Find value of y when x = 301
§
Values
of x and y are given below:
x
|
0
|
1
|
2
|
3
|
y
|
2
|
-7
|
-19
|
-19
|
Find y as polynomial of x.
Prepared By:
Night Hawk
www.diucse27e.blogspot.com
E-mail: shawon_czone@outlook.com
Cell: +88 01739 143041
