Set up the integral [[[100,.2) f (x, y, z) dv where D is the interior of the pyramid with vertices (0,0,0), (1,0,0), (1,2,0), (0,2,0), and (0,0,1). 1.0 0.5 0.0. 1.0 0.5 1.0 0.5 do 1.0 0.5 0.0 First in the order de dz dy and then in the order dz dy dz. Careful with the second one... it's got two different rules for describing z.

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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1. Set up the integral
[[[14)
f (x, y, z) dv
where D is the interior of the pyramid with vertices (0,0,0), (1,0,0), (1,2,0), (0,2,0), and (0,0,1).
1.0
0.5 +
0.0.
1.0
0.5
1.0
0.5
0.0
1.0
0.0
00
0.5
First in the order de dz dy and then in the order dz dy de. Careful with the second one... it's got two
different rules for describing z.
Transcribed Image Text:1. Set up the integral [[[14) f (x, y, z) dv where D is the interior of the pyramid with vertices (0,0,0), (1,0,0), (1,2,0), (0,2,0), and (0,0,1). 1.0 0.5 + 0.0. 1.0 0.5 1.0 0.5 0.0 1.0 0.0 00 0.5 First in the order de dz dy and then in the order dz dy de. Careful with the second one... it's got two different rules for describing z.
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