6. The error function, 2 2 erf(x e dt, 0 important in probability and in the the

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6. The error function, 2 2 erf(x e dt, 0 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 10 to estimate erf (3). b. In [O, 3], 2 4 (e-) 12 dt Give an upper bound for the magnitude of the error of the estimate in part (a) a. The Simpson's Rule approximation for erf (3) is (Type an integer or decimal rounded to six decimal places as needed.) b. An upper bound for the magnitude of the error is (Type an integer or decimal rounded to six decimal places as needed.)

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