et +2e2t-et 6. dt e2t +1

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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Pls answer number 6
1. Find the volume of the solid generated by revolving the region in the first quadrant bounded
by the coordinate axes, the curve y = e*, and the line x = ln 2 about the line x = In 2.
2. S(r2 +r + 1)e"dr
3. Find the area of the region in the first quadrant that is enclosed by the coordinate axes and
V9-x2
the curve y =
3
4. S12 TitatvE
2 dt
5 dx
5. S
V25x2-9
e4t +2e2t-et
dt
e2t +1
6.
STaDE dx (Hint.
= u°)
(x1/3 –1)Vx
8. Find the volume of the solid generated by revolving the region bounded by the curve
y = 4 – x2 and the line y = 2 – x about the x -axis.
Transcribed Image Text:1. Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e*, and the line x = ln 2 about the line x = In 2. 2. S(r2 +r + 1)e"dr 3. Find the area of the region in the first quadrant that is enclosed by the coordinate axes and V9-x2 the curve y = 3 4. S12 TitatvE 2 dt 5 dx 5. S V25x2-9 e4t +2e2t-et dt e2t +1 6. STaDE dx (Hint. = u°) (x1/3 –1)Vx 8. Find the volume of the solid generated by revolving the region bounded by the curve y = 4 – x2 and the line y = 2 – x about the x -axis.
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