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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![(i) Find the area of the shaded region.
(1, 1)
I
y=√√2-x
x=(y - 3)² (4,5)
2
2
(ii) Use the method of cylindrical shells and find the volume of the solid generated by rotating
the region bounded by the given curves about the specified axis.
x = (y - 3)², x = 4;
about y = 1
3
4
•x = y²
x=4
X
-y=1
x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3144732-cd8e-4d15-8b5e-c18450259e48%2F021d74e2-8cf5-4e16-ac63-cd88fe5baeac%2Fwn2lokp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(i) Find the area of the shaded region.
(1, 1)
I
y=√√2-x
x=(y - 3)² (4,5)
2
2
(ii) Use the method of cylindrical shells and find the volume of the solid generated by rotating
the region bounded by the given curves about the specified axis.
x = (y - 3)², x = 4;
about y = 1
3
4
•x = y²
x=4
X
-y=1
x
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