f(x) = 8x − x2 from x = 0 to x = 4; 2 subintervals a) Approximate the area under the curve over the specified interval by using the indicated number of subintervals (or rectangles) and evaluating the function at the right-hand endpoints of the subintervals. (See Example 1.) b) Approximate the area under the curve by evaluating the function at the left-hand endpoints of the subintervals.
f(x) = 8x − x2 from x = 0 to x = 4; 2 subintervals a) Approximate the area under the curve over the specified interval by using the indicated number of subintervals (or rectangles) and evaluating the function at the right-hand endpoints of the subintervals. (See Example 1.) b) Approximate the area under the curve by evaluating the function at the left-hand endpoints of the subintervals.
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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f(x) = 8x − x2 from x = 0 to x = 4; 2 subintervals
a) Approximate the area under the curve over the specified interval by using the indicated number of subintervals (or rectangles) and evaluating the function at the right-hand endpoints of the subintervals. (See Example 1.)
b) Approximate the area under the curve by evaluating the function at the left-hand endpoints of the subintervals.
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