The error function, erf(x): 2 dt, important in probability and in the theories of heat flow...

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The error function, erf(x): 2 dt, important in probability and in the theories of heat flow and signal transmission, must be evaluated numerically because there is no elementary expression for the antiderivative of e -. a. Use Simpson's Rule with n= 12 to estimate erf (3). b. In [0, 3]. <12. dt Give an upper bound for the magnitude of the error of the estimate in part (a). The error function, erf(x): 2 dt, important in probability and in the theories of heat flow and signal transmission, must be evaluated numerically because there is no elementary expression for the antiderivative of e -. a. Use Simpson's Rule with n= 12 to estimate erf (3). b. In [0, 3]. <12. dt Give an upper bound for the magnitude of the error of the estimate in part (a).