MTH603 Practice Questions Lectures 19-30 by VUBuddy

Lecture 19-24

Q1. Construct backward difference table from the following table

x f x

Q2. Construct backward difference table from the following table

x f x

Q3. Construct a backward difference table from the following values of x and y.

x y=f(x)

Q4. Prove that

E

Q5. Prove that

Q6. Define shift operator, Average operator, Differential operator.

Q7. x

f x

Q8. Find the interpolating polynomial for the following data by Newton’s Forward Difference Formula

x f x

Lecture 25 to 30

Question:

Find Newton’s Divided Difference table for the following data. x

f x

Question:

Find Newton’s Divided Difference table for the following data. x

f x

Question:

Compute (4) f for the data x

f x

using the Lagrange's Interpolation formula.

Answer: (4) f

Question:

Using the two dimensional interpolation tabulate the values of the function f x y x y y for x =0,1,2, and y =0,1,2 .