The table gives the values of a function obtained from an experiment. f(x) (a) Estimate X 3 (b) Estimate O greater than O one cannot say 4 (c) Estimate 5 · [²³F(x) f(x) dx using a Riemann sum, R3, with three equal subintervals and right endpoints. 6 O greater than O one cannot say 7 -3.5 -2.1 -0.5 0.3 0.8 1.4 1.9 R3 = If the function is known to be an increasing function, can you say whether your estimate of R3 is less than or greater than the exact value of the integral? O less than 8 9 • fº f(x) f(x) dx using a Riemann sum, L3, with three equal subintervals and left endpoints. O greater than O one cannot say 43 = If the function is known to be an increasing function, can you say whether your estimate L₂ is less than or greater than the exact value of the integral? O less than [² f(x) dx using a midpoint Riemann sum, M3, with three equal subintervals and midpoints. M3 = If the function is known to be an increasing function, can you say whether your estimate M3 is less than or greater than the exact value of the integral? O less than

Calculus For The Life Sciences
2nd Edition
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Chapter4: Calculating The Derivative
Section4.1: Techniques For Finding Derivatives
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The table gives the values of a function obtained from an experiment.
(a) Estimate
R3
=
L3
(b) Estimate
=
f(x)
M3
X
If the function is known to be an increasing function, can you say whether your estimate of R3 is less than or greater than the exact value of the integral?
less than
=
(c) Estimate
3
greater than
one cannot say
4
√3
5 6789
-3.5 -2.1 -0.5 0.3 0.8 1.4 1.9
9
f f(x) dx using a Riemann sum, R3, with three equal subintervals and right endpoints.
If the function is known to be an increasing function, can you say whether your estimate L3 is less than or greater than the exact value of the integral?
O less than
greater than
one cannot say
9
f(x) dx using a Riemann sum, L3, with three equal subintervals and left endpoints.
9
• 1² F(x)
f(x) dx using a midpoint Riemann sum, M3, with three equal subintervals and midpoints.
/3
If the function is known to be an increasing function, can you say whether your estimate M3 is less than or greater than the exact value of the integral?
less than
greater than
one cannot say
Transcribed Image Text:The table gives the values of a function obtained from an experiment. (a) Estimate R3 = L3 (b) Estimate = f(x) M3 X If the function is known to be an increasing function, can you say whether your estimate of R3 is less than or greater than the exact value of the integral? less than = (c) Estimate 3 greater than one cannot say 4 √3 5 6789 -3.5 -2.1 -0.5 0.3 0.8 1.4 1.9 9 f f(x) dx using a Riemann sum, R3, with three equal subintervals and right endpoints. If the function is known to be an increasing function, can you say whether your estimate L3 is less than or greater than the exact value of the integral? O less than greater than one cannot say 9 f(x) dx using a Riemann sum, L3, with three equal subintervals and left endpoints. 9 • 1² F(x) f(x) dx using a midpoint Riemann sum, M3, with three equal subintervals and midpoints. /3 If the function is known to be an increasing function, can you say whether your estimate M3 is less than or greater than the exact value of the integral? less than greater than one cannot say
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