Assignment NO. 2 MTH603 (Spring 2021)
Maximum Marks: 20
Due Date: July 30, 2021
DON’T MISS THESE: Important instructions before attempting the solution of this assignment:
• To solve this assignment, you should have good command over 23 - 30 lectures.
Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in the 23-30 lectures.
• Upload assignments properly through LMS, No Assignment will be accepted through email.
• Write your ID on the top of your solution file.
Don’t use colourful back grounds in your solution files.
Use Math Type or Equation Editor Etc. for mathematical symbols.
You should remember thatif we found the solution files of some students are same then we will reward zero marks to all those students.
Try to make solution by yourself and protect your work from other students, otherwise you and the student who send same solution file as you will be given zero mark.
Also remember that you are supposed to submit your assignment in Word format any other like scan images etc. will not be accepted and we will give zero mark corresponding to these assignments.
Question 1:x 1.5 2.0 2.5 3.0 3.5 4.0 f(x) 3.375 7.000 13.625 24.000 38.875 59.000
Find the first and second derivative of function f(x) at x=1.5 if:
Using Newton’s forward interpolation formula, find the value of function f(1.6) if:x 1 1.4 1.8 2.2 f(x) 3.49 4.82 5.96 6.5
MTH603 Quiz 2 Solution and Discussion
Please share Quiz and Please discuss the each question!
Zainab Ayub last edited by
Mth603 ka koi student hai tu plz yeh question bta dy kis trha solve ho ga Given the following data x:1 2 5 y:1 4 10 Value of 1st order divided difference f[2 , 5] is
If f(x)=2x3−5x2+9x−6 , then its------derivative is zero for all x.
Given the following data x:1 2 7 11 y:6 10 13 37 Which formula is useful in finding the interpolating polynomial?
Given the following data x: 1 3 -7 f(x): 3 -6 -2 Which formula is useful in finding the interpolating polynomial?
x: 1 3 7 f(x): 1 4 9 f(3) Can be found using
: What will be the value of first order divided difference f[1,5]for the following data x:0 1 5 y:2 1 5
Newton’s divided difference interpolation formula is used when the values of the independent variable are
Not equally spaced
Newton’s divided difference interpolation formula is a interpolation technique used when the interval difference is not same for all sequence of values. Divided differences are symmetric with respect to the arguments i.e independent of the order of arguments.
Given the following data x:1 2 5 y:1 4 10 Value of 1st order divided difference f[2 , 5] is
Given the following data x:4 5 7 10 y:46 102 294 346 Value of 1st order divided difference f[5 , 7] is
For the following data