Find the mass of the right pyramid that has a square base in the xy-plane. − 1 ≤ x ≤ 1, − 1 ≤ y ≤ 1, the vertex at (0, 0, 3) and density f(x, y, z) = x². The graph shows a pyramid with the vertex at (0, 0, 3). Your problem may have a different value for the vertex. Round your answer to four decimal places.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5.4.8

Find the mass of the right pyramid that has a square base in the xy-plane. -1 ≤ x ≤ 1, − 1 ≤ y ≤ 1, the
vertex at (0, 0, 3) and density f(x, y, z) = x². The graph shows a pyramid with the vertex at (0, 0, 3). Your
problem may have a different value for the vertex. Round your answer to four decimal places.
Pyramid
N
2-
-1
-0.5
0
X
0.5
1 -0.5
0
y
0.5
Transcribed Image Text:Find the mass of the right pyramid that has a square base in the xy-plane. -1 ≤ x ≤ 1, − 1 ≤ y ≤ 1, the vertex at (0, 0, 3) and density f(x, y, z) = x². The graph shows a pyramid with the vertex at (0, 0, 3). Your problem may have a different value for the vertex. Round your answer to four decimal places. Pyramid N 2- -1 -0.5 0 X 0.5 1 -0.5 0 y 0.5
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