a) Write the integral(s) that you would use to find the area of the region. b) Write the integral(s) that you would use to find the perimeter of the region. c) Write the integral(s) that you would use to find the volume generated by rotating the region around the a – axis. d) Write the integral(s) that you would use to find the volume generated by rotating the region around y = – 1. e) Write the integral(s) that you would use to find the volume generated by rotating the region around y = 1.

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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Please just set up the integral for each one. You do not have to show work, so please answer a-e.

The region bounded by y = f(x) and y = g(x) is shown below. The graphs intersect at (0, 1) and
(1, 0)
y= f(x)
y= g(x)
a) Write the integral(s) that you would use to find the area of the region.
b) Write the integral(s) that you would use to find the perimeter of the region.
c) Write the integral(s) that you would use to find the volume generated by rotating the region
around the x – axis.
d) Write the integral(s) that you would use to find the volume generated by rotating the region
around y = – 1.
e) Write the integral(s) that you would use to find the volume generated by rotating the region
around y = 1.
Transcribed Image Text:The region bounded by y = f(x) and y = g(x) is shown below. The graphs intersect at (0, 1) and (1, 0) y= f(x) y= g(x) a) Write the integral(s) that you would use to find the area of the region. b) Write the integral(s) that you would use to find the perimeter of the region. c) Write the integral(s) that you would use to find the volume generated by rotating the region around the x – axis. d) Write the integral(s) that you would use to find the volume generated by rotating the region around y = – 1. e) Write the integral(s) that you would use to find the volume generated by rotating the region around y = 1.
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