MTH603 Assignment 03 Solution Idea Image

for All Three Questions!

Enjoy, Have Fun...

Question # 1

Find an equation of a cubic curve which passes through the points

(-1, 3), (0, -4), (1, 5) and (2, -6) using Divided Difference Formula.

Question # 2

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(4).

Question # 3

Find f'(2.5) and f''(2.5) 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:

for All Three Questions!

Enjoy, Have Fun...

Question # 1

Find an equation of a cubic curve which passes through the points

(-1, 3), (0, -4), (1, 5) and (2, -6) using Divided Difference Formula.

Question # 2

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(4).

Question # 3

Find f'(2.5) and f''(2.5) 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: