Topic is Mathematics

Please show and explain all steps to solve the question provided below

Please also indicate the formulas used

Thank You!

2. The error function, found in probability and statistics, is defined, 2 erf(ac) = e dt Use Taylor's theorem to fill in the following table to 5 significant digits. erf(a) 0.0 0.1 0.2 0.3 0.4 0.5 Hint: Recall from calculus that if F(x) = fo f(t) dt then F'(x) = f(x)