Central difference formula or Bessel’s function

1. From the table below find y(5)

          X                 Y(x)

          0                 143

          4                 158

          8                 177

          12               199

2. find y₂₅ given y₂₀ = 2854, y₂₄= 3162, y₂₈= 3544, y₃₂=3992.

3. From the following table evaluate e^-1.7475      using Bessel’s formula

          X                 e^-x

          1.72            0.1790661

          1.73            0.1772844

          1.74            0.1755204

          1.75            0.1737739

          1.76            0.1720448

          1.77            0.1703329

          1.78            0.1686381

4. Find f(1.2) given

          X                 f(x)

          0.2              0.39104

          0.6              0.33322

          1.0              0.24197

          1.4              0.14973

          1.8              0.07895

5. Estimate (46.24)^1/3

          X                 x^1/3

          41               3.4482

          45               3.5569

          49               3.6593

          53               3.7563

6. Find y(62.5)

          X                 y(x)

          60               7782

          61               7853

          62               7924

          63               7993

          64               8062

          65               8129

7. Obtain the value of y(27.4)

          X                 y(x)

          25               4.000

          26               3.846

          27               3.704

          28               3.571

          29               3.448        

          30               3.333

8. From the table given below find f(2.73)

          X                 f(x)

          2.5              0.4938

          2.6              0.4953

          2.7              0.4965

          2.8              0.4974

          2.9              0.4981

          3.0              0.4987

9. Apply Bessel’s formula to get the value of y(45)

          X                 Y(X)

          40               51.08

          44               63.24

          48               70.88

          52               79.84

10. Obtain the value of y(5)

          X                 y

          0                 14.27

          4                 15.81

          8                 17.72

          12               19.96