Consider the integral approximation T20 of f 2e- dx. Does T20 overestimate or underestimate the exact value? OA. overestimates OB. underestimates Find the error bound for T20 without calculating Ty using the result that Error(TN) ≤ M(b-a)³ 12N² where M is the least upper bound for all absolute values of the second derivatives of the function 2e on the interval [a, b]. Error(T20) ≤

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 integral approximation T20 of f 2e- dx.
Does T20 overestimate or underestimate the exact value?
OA. overestimates
OB. underestimates
Find the error bound for T20 without calculating TN using the result that
M(b-a)³
Error(TN) <
12N²
where M is the least upper bound for all absolute values of the second derivatives of the function 2e-4 on the interval [a, b].
Error(T20) ≤
Transcribed Image Text:Consider the integral approximation T20 of f 2e- dx. Does T20 overestimate or underestimate the exact value? OA. overestimates OB. underestimates Find the error bound for T20 without calculating TN using the result that M(b-a)³ Error(TN) < 12N² where M is the least upper bound for all absolute values of the second derivatives of the function 2e-4 on the interval [a, b]. Error(T20) ≤
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