Consider the region below f(x) = x/2, above the x-axis, and between x = 0 and x = 4. Let x, be the midpoint of the ith subinterval. (a) Approximate the area of the region using four rectangles. (b) Find f(x) dx by using the formula for the area of a triangle.

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
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Consider the region below f(x) = x/2, above the x-axis, and
between x = 0 and x = 4. Let x, be the midpoint of the ith
subinterval.
(a) Approximate the area of the region using four
rectangles.
(b) Find f(x) dx by using the formula for the area of a
triangle.
Transcribed Image Text:Consider the region below f(x) = x/2, above the x-axis, and between x = 0 and x = 4. Let x, be the midpoint of the ith subinterval. (a) Approximate the area of the region using four rectangles. (b) Find f(x) dx by using the formula for the area of a triangle.
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