Difference Tables and Interpolation Concepts

The video tutorial covers the application of Newton's forward interpolation method to solve a problem. It begins with an introduction to interpolation and the problem statement, followed by criteria for selecting the appropriate interpolation method. The tutorial then explains how to calculate the values of H and U, form a difference table, and apply Newton's forward interpolation formula to find the interpolated value of y when x equals 4.

What is the main objective of the problem discussed in the video?

• To find the value of x when y is given

• To understand Lagrange's interpolation

• To interpolate the value of f(x) when x is 4

• To calculate the difference between x values

When should Newton's forward interpolation be used?

• When x values are in unequal intervals

• When x values are at the end of the table

• When x values are at the beginning of the table

• When x values are in the middle of the table

What is the constant difference (h) in this problem?

• 3

• 2

• 4

• 1

How is the value of U calculated?

• h divided by x minus X naught

• X naught minus x divided by h

• x minus X naught divided by h

• x divided by X naught

What is the first step in forming the difference table?

• Calculate Delta cube y

• Find the value of U

• List the values of x and y

• Calculate Delta squared y

What is the first difference (Delta y) between 150 and 180?

• 60

• 0

• -30

• 30

What is the result of Delta squared y in the difference table?

• 60

• 0

• 30

• -30

What is the purpose of marking the first values in each column of the difference table?

• To ignore them in calculations

• To use them in the interpolation formula

• To highlight the largest values

• To identify the last values

What is the factorial of 5?

• 24

• 5

• 120

• 60

What is the final interpolated value of y when x is 4?

• 165

• 150

• 180

• 90