Solve the problem. Write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from the first octant by the plane = 1. Hint: we did something similar in class. Graph it in GeoGebra. 10 2(1 - x/10) 8(1 - x/10- y/2) dz dy dx 10 1-x/10 1- x/10 - v/2 dz dy dx 10 1- y/2 1- x/10 - y/2 dz dy dx 10 10(1 - y/2) 8(1- x/10 - y/2) dz dy dx

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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Solve the problem.
V
+
Write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from the first octant by the plane
10
= 1. Hint: we did something similar in class.
Graph it in GeoGebra.
10
2(1-x/10) 8(1-x/10- y/2)
dz dy dx
10
1- x/10
1- x/10- y/2
dz dy dx
10
1-y/2 1-x/10 - y/2
dz dy dx
10
10(1 - y/2) 8(1- x/10- y/2)
dz dy dx
Transcribed Image Text:Solve the problem. V + Write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from the first octant by the plane 10 = 1. Hint: we did something similar in class. Graph it in GeoGebra. 10 2(1-x/10) 8(1-x/10- y/2) dz dy dx 10 1- x/10 1- x/10- y/2 dz dy dx 10 1-y/2 1-x/10 - y/2 dz dy dx 10 10(1 - y/2) 8(1- x/10- y/2) dz dy dx
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