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Engineering Maths · Q32

Numerical Methods

Engineering and GATE · Engineering Maths · question 32

Q32

The following table lists an nth order polynomial f(x) = an xn + an - 1 xn - 1 + , .... a1x + a0 and the forward difference evaluated at equally spaced values of x. The order of the polynomial is x f(x) Δf Δ2f Δ3f -0.4 1.7648 -0.2965 0.089 -0.03 -0.3 1.4683 -0.2075 0.059 -0.0228 -0,2 1.2608 -0.1485 0.0362 -0.0156 -0.1 1.1123 -0.1123 0.0206 -0.0084 0 1 -0.0917 0.0122 -0.0012 0.1 0.9083 -0.0795 0.011 0.006 0.2 0.8288 -0.0685 0.017 0.0132

The following table lists an nth order polynomial f(x) = an xn + an - 1 xn - 1 + , .... a1x + a0 and the forward difference evaluated at equally spaced values of x. The order of the polynomial is
  x    f(x)     Δf   Δ2f   Δ3f
-0.4 1.7648 -0.2965 0.089 -0.03
-0.3 1.4683 -0.2075 0.059 -0.0228
-0,2 1.2608 -0.1485 0.0362 -0.0156
-0.1 1.1123 -0.1123 0.0206 -0.0084
  0     1 -0.0917 0.0122 -0.0012
0.1 0.9083 -0.0795 0.011 0.006
0.2 0.8288 -0.0685 0.017 0.0132
A.
1
B.
2
C.
3
D.
4
Answer

Answer: Option D

Solution

Answer: Option D
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