Find Ix, ly, Iz of the Solid. The region R is defined by the coordinate planes and the equation x + 2y + 3z = 10 . The density function is p(x, y, z) = x²yz . Provide an exact answer or answer accurate to at least 4 significant digits.
Find Ix, ly, Iz of the Solid. The region R is defined by the coordinate planes and the equation x + 2y + 3z = 10 . The density function is p(x, y, z) = x²yz . Provide an exact answer or answer accurate to at least 4 significant digits.
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Transcribed Image Text:Find Ix, ly, Iz of the Solid. The region R is defined by the coordinate planes and the equation
x + 2y + 3z = 10. The density function is p(x, y, z) = x²yz. Provide an exact answer or answer
accurate to at least 4 significant digits.
Solid
Solid
20
15
15
z 10
0.
48 12 18
i 2 3 4
Iy plane (green)
Upper Boundary) (blue)
M(black dot)
I (ydlow dot)
xy plane (green)
Upper Boundary) (blue)
Note: The graph is an example. The scale and equation parameters may not be the same for your particular
problem.
Ix =
ly =
Iz =
Hint: Suggest using the rectangular coordinate system.
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