Question

2. Given the following data: | x | -2 | 0 | 1 | 2 | 4 | |---|----|---|---|---|---| | f(x) | -11 | 1 | -2 | 5 | 97 | Newton divided difference polynomial interpolation for the given data can be written in the form of P_4(x) = Ax^4 + Bx^3 + Cx^2 + Dx + E where A, B, C, D and E are constants. i. Find the value of A, B, C, D and E. (Do your calculation in two decimal places) [8 marks] ii. State the degree of polynomial P_4(x) [1 mark]

          2. Given the following data:

| x | -2 | 0 | 1 | 2 | 4 |
|---|----|---|---|---|---|
| f(x) | -11 | 1 | -2 | 5 | 97 |

Newton divided difference polynomial interpolation for the given data can be written in the form of

P_4(x) = Ax^4 + Bx^3 + Cx^2 + Dx + E

where A, B, C, D and E are constants.

i. Find the value of A, B, C, D and E.
(Do your calculation in two decimal places) [8 marks]

ii. State the degree of polynomial P_4(x) [1 mark]

2. Given the following data:

| x | -2 | 0 | 1 | 2 | 4 |
|—|—-|—|—|—|—|
| f(x) | -11 | 1 | -2 | 5 | 97 |

Newton divided difference polynomial interpolation for the given data can be written in the form of

P4(x) = Ax^4 + Bx^3 + Cx^2 + Dx + E

where A, B, C, D and E are constants.

i. Find the value of A, B, C, D and E.
(Do your calculation in two decimal places) [8 marks]

ii. State the degree of polynomial P4(x) [1 mark]

Added by Jesse S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

06/21/2023

Step 1

Step 1: P=Ax+Bx+Cx+Dx+E Show more…

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Given the following data: Newton divided difference polynomial interpolation for the given data can be written in the form of: P4(x) = Ax^4 + Bx^3 + Cx^2 + Dx + E where A, B, C, D, and E are constants. i. Find the value of A, B, C, D, and E (Do your calculation in two decimal places) [8 marks] ii. State the degree of polynomial P4(x) [1 mark]