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
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
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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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5be52d7-969f-48e7-912c-c8af10a8f6da%2Fc7798107-37ee-4d19-b6f4-29987ce32dd0%2Fnt2jag5_processed.png&w=3840&q=75)
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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