Sketch the region R bounded by the curves y = e, y = 1, and x = 2, and find the coordinates of the centroid of the region. Given that the area of R is A = e²-3 square units. (If the region R lies between two curves f(x) and g(x), where f(x) ≥ g(x) for a ≤x≤ b, then the centroid of R is C(x, y) where A is the area of R, and X b x(ƒ(x) — 9(2)) dz and = x a 1 ÿ = = { [S(2)³² - [9 (x)}²} dz. ) A

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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and
Sketch the region R bounded by the curves y = e, y = 1,
x = 2, and find the coordinates of the centroid of the region. Given that the
area of R is A = e² - 3 square units.
(If the region R lies between two curves f(x) and g(x), where f(x) ≥ g(x) for
a ≤ x ≤ b, then the centroid of R is C(ĩ, y) where A is the area of R, and
1x (f(x) - g(x)) da and y = {[(x)³² - [9 (2)1²} da. )
1
x =
A
a
Transcribed Image Text:and Sketch the region R bounded by the curves y = e, y = 1, x = 2, and find the coordinates of the centroid of the region. Given that the area of R is A = e² - 3 square units. (If the region R lies between two curves f(x) and g(x), where f(x) ≥ g(x) for a ≤ x ≤ b, then the centroid of R is C(ĩ, y) where A is the area of R, and 1x (f(x) - g(x)) da and y = {[(x)³² - [9 (2)1²} da. ) 1 x = A a
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