Consider the function f(x) = 6 x4 +62² in the interval I = [1,3]. Let KR be such that K = max | f"(x) | rel What is the value of K? K [₁1(x) n= f(x) dx is estimated using the trapezium rule. Calculate the smallest value of n E N such that the error in this estimate is at most 9 x 10-4.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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Consider the function f(x) = 6 x4 +6² in the interval I = [1, 3]. Let K ER be such that
K = max | f"(x) |
ZEI
What is the value of K?
K =
f's
n=
f(x) dx
is estimated using the trapezium rule. Calculate the smallest value of n E N such that the error in
this estimate is at most 9 × 10-4.
Transcribed Image Text:Consider the function f(x) = 6 x4 +6² in the interval I = [1, 3]. Let K ER be such that K = max | f"(x) | ZEI What is the value of K? K = f's n= f(x) dx is estimated using the trapezium rule. Calculate the smallest value of n E N such that the error in this estimate is at most 9 × 10-4.
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