1-18 Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. 1 v=0, x=0, x= 2; x = 0 y about the vis 0₂ x = 5,_ abo about the x-axis about the axis about the y-axis about the x-axis about the y-axis 434 about the x-axis 8. yu^, y = 2; about the x-axis 9. y² = x, x = 2y; x=2=v² V about the y-axis

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1-18 Find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified line. Sketch the
region, the solid, and a typical disk or washer.
v=0, x=0, x= 2;
U₁ x = 3,
₁ x = 0 y
about the x-axis
4.
about the avis
; about the taxis
about the y-axis
about the x-axis
8. yu^, y = 2; about the x-axis
9. y² = x, x = 2y;
about the y-axis
x=2=v²
about the y-axis
about the x-axis
3
Transcribed Image Text:1-18 Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. v=0, x=0, x= 2; U₁ x = 3, ₁ x = 0 y about the x-axis 4. about the avis ; about the taxis about the y-axis about the x-axis 8. yu^, y = 2; about the x-axis 9. y² = x, x = 2y; about the y-axis x=2=v² about the y-axis about the x-axis 3
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