E. The error function The error function, 2 erf (x) = et dt, important in probability and in the theories of heat flow and sign transmission, must be evaluated numerically because there is r elementary expression for the antiderivative of e. a. Use Simpson's Rule with n = 10 to estimate erf (1). b. In [0,1], d4 (e-f) < 12. |dr+ Give an upper bound for the magnitude of the error of the estimate in part (a).
E. The error function The error function, 2 erf (x) = et dt, important in probability and in the theories of heat flow and sign transmission, must be evaluated numerically because there is r elementary expression for the antiderivative of e. a. Use Simpson's Rule with n = 10 to estimate erf (1). b. In [0,1], d4 (e-f) < 12. |dr+ Give an upper bound for the magnitude of the error of the estimate in part (a).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 32EQ
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![E. The error function
The error function,
2
erf (x) =
et dt,
important in probability and in the theories of heat flow and sign
transmission, must be evaluated numerically because there is r
elementary expression for the antiderivative of e.
a. Use Simpson's Rule with n = 10 to estimate erf (1).
b. In [0,1],
d4
(e-f) < 12.
|dr+
Give an upper bound for the magnitude of the error of the
estimate in part (a).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d1f6feb-acb7-40f6-b43b-8097b2e76bc3%2F2518d858-4336-449b-8a15-f1e012ef944f%2Fnir1n5.png&w=3840&q=75)
Transcribed Image Text:E. The error function
The error function,
2
erf (x) =
et dt,
important in probability and in the theories of heat flow and sign
transmission, must be evaluated numerically because there is r
elementary expression for the antiderivative of e.
a. Use Simpson's Rule with n = 10 to estimate erf (1).
b. In [0,1],
d4
(e-f) < 12.
|dr+
Give an upper bound for the magnitude of the error of the
estimate in part (a).
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