Let K e R be such that K = max | f"(x)| xEI What is K? K = The area between f(x) anc .ne x-axis in the interval I was estimated using the Trapezium rule. Calculate the smallest value of n e Z such that the error on this estimate is at most 4 × 10¬³. n =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the function f(x) = 4 · sin(3 · x) in the interval I =
17.n
36
What is f'(x) and f"(x) in the interval 1?
Transcribed Image Text:Consider the function f(x) = 4 · sin(3 · x) in the interval I = 17.n 36 What is f'(x) and f"(x) in the interval 1?
Let K ER be such that
K
= max | f"(x)|
xEI
What is K?
K =
The area between f(x) ana .ne x-axis in the interval I was estimated
using the Trapezium rule. Calculate the smallest value of n e Z such
that the error on this estimate is at most 4 x 10¬³.
n =
Transcribed Image Text:Let K ER be such that K = max | f"(x)| xEI What is K? K = The area between f(x) ana .ne x-axis in the interval I was estimated using the Trapezium rule. Calculate the smallest value of n e Z such that the error on this estimate is at most 4 x 10¬³. n =
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