VI. Given a region R enclosed by the curves: π.χ. y = 1 + sin y = 4- ) 4 As shown below. (x - 2)² , and x = 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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ANSWER ALL 3 QUESTIONS FOR UPVOTE PLS (all questions are related)
VI.
Given a region R enclosed by the curves:
πχ
y =
= 1 + sin
y = 4
)
As shown below.
(x - 2)²
4
(2,4)
(2, 2)
and x = 2
R
X
(-2,0)
Set up (do NOT simplify) the (sum of) definite integral(s) equal to the
following:
(x-2)4
1. Arc length of the curve y = 4-
bordering the region R
4
2. Area of R using horizontal rectangles
3. Volume of the solid generated when R is revolved about the line
y = 4 using the method of washers
)
Transcribed Image Text:VI. Given a region R enclosed by the curves: πχ y = = 1 + sin y = 4 ) As shown below. (x - 2)² 4 (2,4) (2, 2) and x = 2 R X (-2,0) Set up (do NOT simplify) the (sum of) definite integral(s) equal to the following: (x-2)4 1. Arc length of the curve y = 4- bordering the region R 4 2. Area of R using horizontal rectangles 3. Volume of the solid generated when R is revolved about the line y = 4 using the method of washers )
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