The left, right, trapezoidal, and midpoint rule approximations were used to estimate f²₁ f(x) dx, where fis the function whose graph is shown. The estimates were 0.7818, 0.8674, 0.8632, and 0.9530, and the same number of subintervals were used in each case. (a) Which rule produced which estimate? R = T₂ = M₂ = y = f(x) smaller value larger value (b) Between which two approximations does the true value of of [²1(x) f(x) dx lie?

The left, right, trapezoidal, and midpoint rule approximations were used to estimate f²₁ f(x) dx, where fis the function whose graph is shown. The estimates were 0.7818, 0.8674, 0.8632, and 0.9530, and the same number of subintervals were used in each case. (a) Which rule produced which estimate? R = T₂ = M₂ = y = f(x) smaller value larger value (b) Between which two approximations does the true value of of [²1(x) f(x) dx lie?

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

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