1. FIND THE AREA DEFINED BELLOW 5 2(x²+1) y=1-1=1/12 (a) < y ≤ y²1-x x 20 (b) BOUNDED AREA BETWEEN y=x² (1-x)(2+x) y=x²-x²+2x³-2x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1:19
◄ Outlook
1. FIND THE AREA DEFINED BELLOW
5
2(x²+1)
y=1-1
(a)
y ≤
x
y²1-x
x 20
(a) y≤2
x 30
yztan (x)
(Y-AXIS)
.LTE
2. FIND THE VOLUME OF REVOLUTION
FOR THE GIVEN REGIONS & AXIS.
(b) 920
y ≤tan (x)
x20
(AXIS: y =3)
(b) BOUNDED AREA
BETWEEN
y=x² (1-x) (2+x)
y=x²-x²+2x³-2x
(b) 0≤ y ≤
x²-x
2≤x≤5
(X-AXIS)
(c) 0≤y≤
3. FIND THE VOLUME OF THE
REGION O≤y≤²
x²-x
2≤x≤5
(AXIS : X = 1)
REVOLVED
AROUND X-AXIS & Y-AXIS (FOR X20).
(x>0)
inst-fs-iad-prod.inscloudgate.net C
Transcribed Image Text:1:19 ◄ Outlook 1. FIND THE AREA DEFINED BELLOW 5 2(x²+1) y=1-1 (a) y ≤ x y²1-x x 20 (a) y≤2 x 30 yztan (x) (Y-AXIS) .LTE 2. FIND THE VOLUME OF REVOLUTION FOR THE GIVEN REGIONS & AXIS. (b) 920 y ≤tan (x) x20 (AXIS: y =3) (b) BOUNDED AREA BETWEEN y=x² (1-x) (2+x) y=x²-x²+2x³-2x (b) 0≤ y ≤ x²-x 2≤x≤5 (X-AXIS) (c) 0≤y≤ 3. FIND THE VOLUME OF THE REGION O≤y≤² x²-x 2≤x≤5 (AXIS : X = 1) REVOLVED AROUND X-AXIS & Y-AXIS (FOR X20). (x>0) inst-fs-iad-prod.inscloudgate.net C
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