Question
The table gives the values of a function obtained from an experiment. Use them to estimate...
The table gives the values of a function obtained from an experiment. Use them to estimate
| 9 | f(x) dx |
| 3 |
using three equal subintervals with right endpoints, left endpoints, and midpoints.
| x | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| f(x) | −3.4 | −2.3 | −0.7 | 0.2 | 0.7 | 1.4 | 1.7 |
(a) Estimate
| 9 | f(x) dx |
| 3 |
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
(b) Estimate
| 9 | f(x) dx |
| 3 |
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?
(c) Estimate
| 9 | f(x) dx |
| 3 |
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?
Homework Answers
Answer #1
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