3. FIND THE VOLUME OF THE REGION DEY≤ 2² y REVOLVED AROUND X-AXIS & Y-AXIS (FOR X20) (X>0)

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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Do # 3 for all parts
1. FIND THE AREA DEFINED BELLOW
5
2(x²+1)
y=1 - 21/1/2
(a)
2) y ≤
y²1-x
x3 0
2. FIND THE VOLUME OF REVOLUTION
FOR THE GIVEN REGIONS & AXIS.
(a) 4≤2
x 30
yz tan (x)
(Y-AXIS)
(b) BOUNDED AREA
BETWEEN
y=x² (1-x) (2+x)
y=x²-x²+2x³-2x
(b) 920
y ≤tan (x)
x20
(AXIS: y =3)
(b) o≤ y ≤
2≤x≤5
(X-AXIS)
(c) 0≤y≤
3. FIND THE VOLUME
REGION OF y≤
AROUND
1
1
x²-x
REVOLVED
1
x²-x
2≤x≤5
(AXIS: x =1)
OF THE
x²
X-AXIS & Y-AXIS (FOR X20).
(x20)
Transcribed Image Text:1. FIND THE AREA DEFINED BELLOW 5 2(x²+1) y=1 - 21/1/2 (a) 2) y ≤ y²1-x x3 0 2. FIND THE VOLUME OF REVOLUTION FOR THE GIVEN REGIONS & AXIS. (a) 4≤2 x 30 yz tan (x) (Y-AXIS) (b) BOUNDED AREA BETWEEN y=x² (1-x) (2+x) y=x²-x²+2x³-2x (b) 920 y ≤tan (x) x20 (AXIS: y =3) (b) o≤ y ≤ 2≤x≤5 (X-AXIS) (c) 0≤y≤ 3. FIND THE VOLUME REGION OF y≤ AROUND 1 1 x²-x REVOLVED 1 x²-x 2≤x≤5 (AXIS: x =1) OF THE x² X-AXIS & Y-AXIS (FOR X20). (x20)
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