Ex.2) Evaluate zdV, where is the solid in the first octant E E bounded by the surface z= = 12xy and the planes y=x, x=1. [Sol.] 0.0 1.0 0.0 -0.5 1.0 y 0.8 06 04 02 GO 0.2 0.6 z = 12xy (graph, level curves) 10 y=x, x=1 z = 12.xy E

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 10RE
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Ex.2) Evaluate zdv, where is the solid in the first octant
E
bounded by the surface z=12xy and the planes y=x, x=1.
[Sol.]
10
5
0
0.0
0.5
x
1.0
0.0
70.5 y
E
1.0
y
1.0
0.8
0.6
0.4
0.2
0.0
0.0
0.2
0.4
0.6
z = 12xy (graph, level curves)
0.8
1.0
y=x, x=1
ZA
0
z = 12xy
1
Xx
E
Transcribed Image Text:Ex.2) Evaluate zdv, where is the solid in the first octant E bounded by the surface z=12xy and the planes y=x, x=1. [Sol.] 10 5 0 0.0 0.5 x 1.0 0.0 70.5 y E 1.0 y 1.0 0.8 0.6 0.4 0.2 0.0 0.0 0.2 0.4 0.6 z = 12xy (graph, level curves) 0.8 1.0 y=x, x=1 ZA 0 z = 12xy 1 Xx E
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