The table gives the values of a function obtained from an experiment. Use them to estimate f(x) dx using three equal subintervals with right endpoints, left endpoints, an midpoints.
The table gives the values of a function obtained from an experiment. Use them to estimate f(x) dx using three equal subintervals with right endpoints, left endpoints, an midpoints.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:The table gives the values of a function obtained from an experiment. Use them to estimate
f(x) dx using three equal subintervals with right endpoints, left endpoints, and
midpoints.
3
4
6
8
f(x)
-3.5-2.1-0.60.3 0.9 1.3
1.7
(a) Estimate
f(x) dx using three equal subintervals with right endpoints.
R3 =
If the function is known to be an increasing function, can you say whether your estimate is less than or greater than the exact value of the integral?
O less than
O greater than
O one cannot say
(b) Estimate
f(x) dx using three equal subintervals with left endpoints.
L3
If the function is known to be an increasing function, can you say whether your estimate is less than or greater than the exact value of the integral?
less than
greater than
O one cannot say
(c) Estimate
f(x) dx using three equal subintervals with midpoints.
M3 =
If the function is known to be an increasing function, can you say whether your estimate is less than or greater than the exact value of the integral?
O less than
O greater than
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