If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], thenm(b − a) ≤ bf(x) dxa ≤ M(b − a).Use this property to estimate the value of the integral.2(x3 − 3x + 10) dx0 ???? (smaller value)???? (larger value) If m s f(x) S M for a sxs b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], thenm(b - a) sf(x) dx S M(b – a).Use this property to estimate the value of the integral.(x33x + 10) dx(smaller value)(larger value)

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Answered: If m s f(x) s M for a sxs b, where m is…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?

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If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b − a) ≤ b f(x) dx a ≤ M(b − a). Use this property to estimate the value of the integral. 2 (x3 − 3x + 10) dx 0 ???? (smaller value) ???? (larger value)

If m s f(x) S M for a sxs b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then
m(b - a) s
f(x) dx S M(b – a).
Use this property to estimate the value of the integral.
(x3
3x + 10) dx
(smaller value)
(larger value)

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