Below is a table of valucs for a continuous function f . X -1 -0.5 (),5 f(x) | 2.0 | 1.5 -1.0 0.5 -3.0 1 a) Use Simpson's Rule with n = 4 to approximate f(x)dx. b) If you know that –3< f(4) (x)< 2 for all values of x find an upper bound for the 1 error when using Simpson's Rule with n= 4 to approximate f (x)dx. -1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.1: Increasing And Decreasing Functions
Problem 33E
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Simpson's Rule

Below is a table of valucs for a continuous function f .
X
-1
-0.5
(),5
f(x) | 2.0 | 1.5
-1.0 0.5 -3.0
1
a) Use Simpson's Rule with n = 4 to approximate f(x)dx.
b) If you know that –3< f(4) (x)< 2 for all values of x find an upper bound for the
1
error when using Simpson's Rule with n= 4 to approximate f (x)dx.
-1
Transcribed Image Text:Below is a table of valucs for a continuous function f . X -1 -0.5 (),5 f(x) | 2.0 | 1.5 -1.0 0.5 -3.0 1 a) Use Simpson's Rule with n = 4 to approximate f(x)dx. b) If you know that –3< f(4) (x)< 2 for all values of x find an upper bound for the 1 error when using Simpson's Rule with n= 4 to approximate f (x)dx. -1
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