19 The value of f(x)dx by using 2-segment Simpson's 1/3 rule is estimated as 702.039. The estimate of the same integral using 4-segment Simpson's 1/3 rule most nearly is 8 702.039 +[2.ƒ(7) +2ƒ(15)] A 702.039 + [2ƒ(7)—ƒ(11)+2ƒ(15)† 702.039+ (2/(7) + 2/(15)) 8 [2ƒ(7)+2ƒ(15)] 2 702.039 8, + 2 B ž[2ƒ(7)− ƒ(11)+2ƒ(15)]*

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.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 6E: Find the average rate of change for each function over the given interval. y=3x2 between x=1 and x=2
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19
The value of f(x)dx by using 2-segment Simpson's 1/3 rule is estimated as 702.039. The
estimate of the same integral using 4-segment Simpson's 1/3 rule most nearly is
8
702.039 +[2.ƒ(7) +2ƒ(15)]
A
702.039 + [2ƒ(7)—ƒ(11)+2ƒ(15)†
702.039+ (2/(7) + 2/(15))
8
[2ƒ(7)+2ƒ(15)]
2
702.039 8,
+
2
B
ž[2ƒ(7)− ƒ(11)+2ƒ(15)]*
Transcribed Image Text:19 The value of f(x)dx by using 2-segment Simpson's 1/3 rule is estimated as 702.039. The estimate of the same integral using 4-segment Simpson's 1/3 rule most nearly is 8 702.039 +[2.ƒ(7) +2ƒ(15)] A 702.039 + [2ƒ(7)—ƒ(11)+2ƒ(15)† 702.039+ (2/(7) + 2/(15)) 8 [2ƒ(7)+2ƒ(15)] 2 702.039 8, + 2 B ž[2ƒ(7)− ƒ(11)+2ƒ(15)]*
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