We've been asked to find the root of a equation,corrected to 2 decimal places, using Bisection method.
What should be the tolerance value? Is it 0.01 or 0.01/2=0.005?
correct to 2 places means less than 0.005 away from the true value (on either side)
That is, when rounded to 2 places, it is equal to the true value (to 2 places)
Thank you very much
To determine the tolerance value for the Bisection method, we need to consider the desired accuracy of the root.
The tolerance value represents the maximum allowable difference between the approximated root and the actual root. In this case, since you want the root to be corrected to 2 decimal places, the desired accuracy is up to the hundredth decimal place.
To achieve this, the tolerance value should be half of the smallest increment between decimal places at the desired accuracy. In this case, the smallest increment between decimal places is 0.01 (hundredth place), so the tolerance value should be 0.01/2 = 0.005.
Therefore, the correct tolerance value for your case is 0.005.