Can you plese explain step by step how to answer these Q? 1) Three regions are defined in the figure. The x y coordinate plane is given. A rectangle containing a line, a curve, and three shaded regions is on the graph. The rectangle is formed by the origin, point A (1, 0), point B (1, 3), and point C (0, 3). The line y = 3x begins at the origin, goes up and right, and ends at point B (1, 3). The curve y = 3∜x begins at the origin, goes up and right becoming less steep, and ends at point B (1, 3). Region R1 is below the line, above the x-axis and left of the line segment A B. Region R2 is above the curve, right of the y-axis and below the line segment B C. Region R3 is below the curve and above the line. Find the volume generated by rotating the given region about the specified line. ℛ1 about O A 2
Can you plese explain step by step how to answer these Q? 1) Three regions are defined in the figure. The x y coordinate plane is given. A rectangle containing a line, a curve, and three shaded regions is on the graph. The rectangle is formed by the origin, point A (1, 0), point B (1, 3), and point C (0, 3). The line y = 3x begins at the origin, goes up and right, and ends at point B (1, 3). The curve y = 3∜x begins at the origin, goes up and right becoming less steep, and ends at point B (1, 3). Region R1 is below the line, above the x-axis and left of the line segment A B. Region R2 is above the curve, right of the y-axis and below the line segment B C. Region R3 is below the curve and above the line. Find the volume generated by rotating the given region about the specified line. ℛ1 about O A 2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Can you plese explain step by step how to answer these Q?
1)
Three regions are defined in the figure.
The x y coordinate plane is given. A rectangle containing a line, a curve, and three shaded regions is on the graph.
- The rectangle is formed by the origin, point A (1, 0), point B (1, 3), and point C (0, 3).
- The line y = 3x begins at the origin, goes up and right, and ends at point B (1, 3).
- The curve y = 3∜x begins at the origin, goes up and right becoming less steep, and ends at point B (1, 3).
- Region R1 is below the line, above the x-axis and left of the line segment A B.
- Region R2 is above the curve, right of the y-axis and below the line segment B C.
- Region R3 is below the curve and above the line.
Find the volume generated by rotating the given region about the specified line.
ℛ1 about O A
2)
![Three regions are defined in the figure.
C (0,3
y
R₂
y=3√√x
y = 3x
R₁
B(1,3)
A (1,0)
X
Find the volume generated by rotating the given region about the specified line.
R1 about OA](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbcf70c8-2379-440c-80f9-faae2e6d4093%2Fe6506d0e-bc0c-4829-a8b1-fc0b4267a0fd%2Fttsz1q9_processed.png&w=3840&q=75)
Transcribed Image Text:Three regions are defined in the figure.
C (0,3
y
R₂
y=3√√x
y = 3x
R₁
B(1,3)
A (1,0)
X
Find the volume generated by rotating the given region about the specified line.
R1 about OA
![Three regions are defined in the figure.
y
C (0, 2)
0
R₂
/y = 2√√x
R3
y = 2 x
R₁
B(1,2)
A (1,0)
X
Find the volume generated by rotating the given region about the specified line.
R3 about OC](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbcf70c8-2379-440c-80f9-faae2e6d4093%2Fe6506d0e-bc0c-4829-a8b1-fc0b4267a0fd%2Fv06kv8u_processed.png&w=3840&q=75)
Transcribed Image Text:Three regions are defined in the figure.
y
C (0, 2)
0
R₂
/y = 2√√x
R3
y = 2 x
R₁
B(1,2)
A (1,0)
X
Find the volume generated by rotating the given region about the specified line.
R3 about OC
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