he 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. X 3 4 5 6 7 8 9 f(x) -3.5 -2.3 -0.5 0.2 0.7 1.3 1.9 (a) Estimate R3 = fr f(x) dx using three equal subintervals with right endpoints. 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 Ogreater than one cannot say (b) Estimate 43 = f₁ f(x) dx using three equal subintervals with left endpoints. 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 Ogreater than O one cannot say (c) Estimate M3 = [₁ f(x) dx using three equal subintervals with midpoints. 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 Oone cannot say

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 63E
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'9
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
5
6
7 8 9
f(x) -3.5 -2.3 -0.5 0.2 0.7 1.3 1.9
X
(a) Estimate
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?
less than
greater than
one cannot say
9
So f
f(x) dx using three equal subintervals with right endpoints.
M3
(b) Estimate
43 =
(c) Estimate
=
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
one cannot say
S²₁
f(x) dx using three equal subintervals with left endpoints.
9
[²³ f(x) dx using three equal subintervals with midpoints.
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
one cannot say
Transcribed Image Text:'9 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 5 6 7 8 9 f(x) -3.5 -2.3 -0.5 0.2 0.7 1.3 1.9 X (a) Estimate 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? less than greater than one cannot say 9 So f f(x) dx using three equal subintervals with right endpoints. M3 (b) Estimate 43 = (c) Estimate = 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 one cannot say S²₁ f(x) dx using three equal subintervals with left endpoints. 9 [²³ f(x) dx using three equal subintervals with midpoints. 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 one cannot say
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