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
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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Step 1: The objective is to estimate the integrals using three equal subintervals and different endpoints.
VIEWStep 2: Use the function value at the right endpoints of these three subintervals.
VIEWStep 3: Use the function values at the left endpoints of these three subintervals.
VIEWStep 4: Find the midpoints of each subinterval.
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