11) Find the area of the region bounded by the curves y = 4x - x² + 4 and y = x. Sketch the area, find any intersections and show a typical element (rectangle) of the integral.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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ChapterA: Appendix
SectionA.2: Geometric Constructions
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11) Find the area of the region bounded by the curves y = 4x - x² + 4 and y = x.
Sketch the area, find any intersections and show a typical element (rectangle) of
the integral.
The Trapezoidal Rule
[*f(x) dx = h (²7(x₂) + f(x) + f(x₂)+ - + f(x) + f())
f(x₁)
f(xn-1)
(x
a
b-a
Where h =
n
Transcribed Image Text:11) Find the area of the region bounded by the curves y = 4x - x² + 4 and y = x. Sketch the area, find any intersections and show a typical element (rectangle) of the integral. The Trapezoidal Rule [*f(x) dx = h (²7(x₂) + f(x) + f(x₂)+ - + f(x) + f()) f(x₁) f(xn-1) (x a b-a Where h = n
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