4. Find the volume of the solid generated by rotating the region bounded by curve x = -y² + y and the y-axis about the y-axis. Sketch the region and the solid
4. Find the volume of the solid generated by rotating the region bounded by curve x = -y² + y and the y-axis about the y-axis. Sketch the region and the solid
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please solve 4, thanks!
![v) Find the volume of the song of revolution obtamed by rotating the curve around the axis
a) L = 4/3
b) V= 467
57/315 cu. units
1
3. Find the volume of the solid obtained by rotating the region bounded by y = x=2, and y = 0 about the y-
axis. Sketch the graph of the region and the solid
V= 2n cu. units
4. Find the volume of the solid generated by rotating the region bounded by curve x = -y² + y and the y-axis
about the y-axis. Sketch the region and the solid
5. Find the arc length of each curve (integrate by hand)
a) x = -8y-3 on [-2,6] b) y = x³/2 on
a) 8√65 b) 168
6. Set up the integral to determine the arc length of each curve, then integrate in your calculator
OCT
18
[0,60]
A
S
W
tv](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b1ec9e1-71c5-41a7-88e5-1ec0b0e62692%2Fe1363d5f-74d9-4f5d-a0cb-ccafd5eb12b1%2Fpn5n5a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:v) Find the volume of the song of revolution obtamed by rotating the curve around the axis
a) L = 4/3
b) V= 467
57/315 cu. units
1
3. Find the volume of the solid obtained by rotating the region bounded by y = x=2, and y = 0 about the y-
axis. Sketch the graph of the region and the solid
V= 2n cu. units
4. Find the volume of the solid generated by rotating the region bounded by curve x = -y² + y and the y-axis
about the y-axis. Sketch the region and the solid
5. Find the arc length of each curve (integrate by hand)
a) x = -8y-3 on [-2,6] b) y = x³/2 on
a) 8√65 b) 168
6. Set up the integral to determine the arc length of each curve, then integrate in your calculator
OCT
18
[0,60]
A
S
W
tv
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