III. Consider the region R below bounded by the curves C₁ - 4y = 4, C₂ y = √x-1, and C₁: | 2y = - 4. (2,1) (4,0) (0, -1) Set up a (sum of) definite integral(s) equal to the following: 1. the length of the portion of the boundary of R that lies on C₂

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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III. Consider the region R below bounded by the curves C₁ - 4y = 4, C₂ y = √x-1, and
C32 | 2y = 4.
(2,1)
R
(4,0)
(0, -1)
Set up a (sum of) definite integral(s) equal to the following:
1. the length of the portion of the boundary of R that lies on C₂
2. the area of R, using horizontal strips
3. the volume of the solid generated when R is revolved about the line y = 2, using the method
of washers
Transcribed Image Text:III. Consider the region R below bounded by the curves C₁ - 4y = 4, C₂ y = √x-1, and C32 | 2y = 4. (2,1) R (4,0) (0, -1) Set up a (sum of) definite integral(s) equal to the following: 1. the length of the portion of the boundary of R that lies on C₂ 2. the area of R, using horizontal strips 3. the volume of the solid generated when R is revolved about the line y = 2, using the method of washers
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