The table gives the values of a function obtained from an experiment. Use the table to estimate f(x) dx using three equal subintervals and a right Riemann sum, left Riemann sum, and a midpoint sum. 789 3 5 f(x) -3.3 -2.2 -0.6 0.3 0.8 1.3 1.7 (a) Estimate f(x) dx using three equal subintervals and right endpoints. R = If the function is known to be an increasing funtion, 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 and left endpoints. If the function is known to be an increasing funtion, 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 (c) Estimate f(x) dx using three equal subintervals and midpoints. If the function is known to be an increasing funtion, 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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
The table gives the values of a function obtained from an experiment. Use the table to estimate f(x) dx using three equal subintervals and a right Riemann sum, left Riemann sum, and a midpoint sum.
789
3
5
f(x) -3.3
-2.2
-0.6
0.3
0.8
1.3
1.7
(a) Estimate
f(x) dx using three equal subintervals and right endpoints.
R =
If the function is known to be an increasing funtion, 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 and left endpoints.
If the function is known to be an increasing funtion, 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
(c) Estimate
f(x) dx using three equal subintervals and midpoints.
If the function is known to be an increasing funtion, 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
Transcribed Image Text:The table gives the values of a function obtained from an experiment. Use the table to estimate f(x) dx using three equal subintervals and a right Riemann sum, left Riemann sum, and a midpoint sum. 789 3 5 f(x) -3.3 -2.2 -0.6 0.3 0.8 1.3 1.7 (a) Estimate f(x) dx using three equal subintervals and right endpoints. R = If the function is known to be an increasing funtion, 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 and left endpoints. If the function is known to be an increasing funtion, 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 (c) Estimate f(x) dx using three equal subintervals and midpoints. If the function is known to be an increasing funtion, 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
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