We are here with you hands in hands to facilitate your learning & don't appreciate the idea of copying or replicating solutions. Read More>>
+ Link For Assignments, GDBs & Online Quizzes Solution 
+ Link For Past Papers, Solved MCQs, Short Notes & More 
I though of posting this so that people can easily find matching solution if any questions repeat.
These are the VU solutions of VU teachers from VULMS.
Solution File Assignment # 1
MTH603 (Fall 2012)
Total marks: 10
Lecture # 0108
Due date: 15112012
Dear students as it was told there are 4 questions in the assignment but only one question will be graded. Question 2 will be graded.
Question#1 Marks 10
Perform only three iterations of secant method, round off values up to four decimal places to find the root of
Note: All the calculation should be done in the radian mode only.
Taking
This root obtained is correct upto 2 decimal places only after 3 iterations.
Question#2 Marks 10
Use Regula Falsi (method of false position) to solve the equation
Note: Perform only two iterations and round off values up to four decimal places. All the calculation should be done in the radian mode only.
Solution:
This root obtained is correct upto 1 decimal places only after 2 iterations.
Question#3 Marks 10
Apply NewtonRaphson method to determine a root of the equation.
correct to four decimal places. Only three iterations needed.
Note: All the calculation should be done in the radian mode only.
This root obtained is correct upto 3 decimal places only after 3 iterations.
Question#4 Marks 10
Find the root of the equation in the interval (0,1) by iteration method correct to four decimal places and do only three iterations.
Note: All the calculation should be done in the radian mode only.
Solution ;
x 
0 
1 
F(x)= 
1<0 
0.282>0 
So the method of iteration can be applied
Let
Hence the desired root is 0.8771
This root obtained is correct upto 1 decimal places only after 3 iterations.
Tags:
+ How to Follow the New Added Discussions at Your Mail Address?
+ How to Join Subject Study Groups & Get Helping Material? + How to become Top Reputation, Angels, Intellectual, Featured Members & Moderators? + VU Students Reserves The Right to Delete Your Profile, If?.
+ http://bit.ly/vucodes (Link for Assignments, GDBs & Online Quizzes Solution)+ http://bit.ly/papersvu (Link for Past Papers, Solved MCQs, Short Notes & More)
+ Click Here to Search (Looking For something at vustudents.ning.com?) + Click Here To Join (Our facebook study Group)Solution File Assignment # 2
MTH603 (Fall 2012)
Total marks: 10
Lecture # 23  28
There are 4 questions in the assignment but only question # 3 will be graded.
Question#1 Marks 10
Find an equation of a cubic curve which passes through the points
(4,43), (7, 83), (9,327) and (12, 1053) using Divided Difference Formula.
Solution:
Newton’s divided difference table is
X 
Y 
1^{st} D.D 
2^{nd} D.D 
3^{rd} D.D 
4 
43 



7 
83 
42 


9 
327 
122 
16 

12 
1053 
242 
24 
1 
Question#2 Marks 10
Find interpolation polynomial by Lagrange’s Formula, with the help of following table,
x 
1 
2 
3 
5 
f(x) 
0 
7 
26 
124 
And hence find value of f (6).
Solution:
Question#3 Marks 10
Find from the following table,
x 
0 
0.2 
0.4 
0.6 
0.8 
1.0 
1.2 
0.710 
1.175 
1.811 
2.666 
3.801 
5.292 
7.232 
Solution:
x 

0 
0.710 






0.2 
1.175 
0.465 





0.4 
1.811 
0.636 
0.171 




0.6 
2.666 
0.855 
0.219 
0.048 



0.8 
3.801 
1.135 
0.280 
0.061 
0.013 


1.0 
5.292 
1.491 
0.356 
0.076 
0.015 
0.002 

1.2 
7.232 
1.940 
0.449 
0.093 
0.017 
0.002 
0 
Since x=0 occur at the start of the table, it is appropriate to use the forward difference formula for the derivation.
Now putting the values in above formula, we get
Question#4 Marks 10
Find from the following table,
x 
1.3 
1.6 
1.9 
2.2 
2.5 
f(x) 
2.4 
2.9 
3.2 
4.7 
6.4 
Solution:
Since x=2.5 occur at the end of the table, it is appropriate to use the backward difference formula for the derivation.
Backward difference table is as





1.3 
2.4 




1.6 
2.9 
0.5 



1.9 
3.2 
0.3 
0.2 


2.2 
4.7 
1.5 
1.2 
1.4 

2.5 
6.4 
1.7 
0.2 
1 
2.4 
Ali gud keep it up
© 2019 Created by + M.Tariq Malik. Powered by
Promote Us  Report an Issue  Privacy Policy  Terms of Service
VU Students reserves the right to delete any profile, which does not show any Activity at site nor has not any activity more than 01 month.
We are usergenerated contents site. All product, videos, pictures & others contents on vustudents.ning.com don't seem to be beneath our Copyrights & belong to their respected owners & freely available on public domains. We believe in Our Policy & do according to them. If Any content is offensive in your Copyrights then please email at m.tariqmalik@gmail.com or Contact us at contact Page with copyright detail & We will happy to remove it immediately.
Management: Admins ::: Moderators
Awards Badges List  Moderators Group
All Members  Featured Members  Top Reputation Members  Angels Members  Intellectual Members  Criteria for Selection
Become a Team Member  Safety Guidelines for New  Site FAQ & Rules  Safety Matters  Online Safety  Rules For Blog Post