Question: The error function, erf (x)=220xe-t2dt, important in probability and in the theories of heat flow and signal transmission, must be evaluated numerically because there isnoelementary

The error function, erf (x)=220xe-t2dt, important in probability and in the theories of heat flow and signal transmission, must be evaluated numerically because there isnoelementary expression for the antiderivative ofe-t2.a. Use Simpson's Rule with n=8to estimate erf(3).b.ln[0,3],|d4dt4(e-t2)|12. Give an upper bound for the magnitude of the error of the estimate in part (a). Give me the answers in6 decimal places

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