(i) Find the area of the shaded region. 0 (1, 1) y=√√√2-x 2 x=y4

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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(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
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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