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

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.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 10E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
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Consider the integral approximation T20 of 2e- dx.
Does T20 overestimate or underestimate the exact value?
A. overestimates
B. underestimates
Find the error bound for T20 without calculating Ty using the result that
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)
Error(TN) ≤
Transcribed Image Text:Consider the integral approximation T20 of 2e- dx. Does T20 overestimate or underestimate the exact value? A. overestimates B. underestimates Find the error bound for T20 without calculating Ty using the result that 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) Error(TN) ≤
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,