hopiveoliver8910 hopiveoliver8910
  • 13-03-2021
  • Mathematics
contestada

If the constant bounding the error in the Euler method is 0.2 and you wanted a 9 decimal place accuracy, how many steps, n, would you need ensure this accuracy?

Respuesta :

codiepienagoya codiepienagoya
  • 15-03-2021

Answer:

The answer is "13".

Step-by-step explanation:

Euler method=e=0.2 constantly binding the error

Precision should be 9 decimal places=0.000000001

The number of steps should be n.

In order to guarantee precision,

[tex]\to 0.2^n> 0.000000001\\\\ \to n> \frac{\log(0.000000001) }{\log(0.2)} \\\\ \to 12.876 \approx 13[/tex]

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