Consider the solid a drawn in the first octant, as shown below, which is formed by the surfaces y = (x – 3)2 + 1, 4z + 3y = 15, x = 1, y = 1, z = 0 - %3D %3D 3 y If the point density of the solid is determined by the function p(x, y, z) = 3y kg/m3 and if the scale of the axes is in meters, then the mass of the solid is approximately: A) 20.5710 kg B) 21.2571 kg C) 52.8134 kg D) 31.8857 kg

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Consider the solid Q drawn in the first octant, as shown below, which is formed by the surfaces
у %3 (а — 3)? + 1, 42 + 3у 3 15, г %3D 1, у %3D 1,
y = 1, z = 0
|
3
3
y
If the point density of the solid is determined by the function p(x, y, z) = 3y kg/m3 and if the scale
of the axes is in meters, then the mass of the solid is approximately:
A) 20.5710 kg
B) 21.2571 kg
C) 52.8134 kg
D) 31.8857 kg
Transcribed Image Text:Consider the solid Q drawn in the first octant, as shown below, which is formed by the surfaces у %3 (а — 3)? + 1, 42 + 3у 3 15, г %3D 1, у %3D 1, y = 1, z = 0 | 3 3 y If the point density of the solid is determined by the function p(x, y, z) = 3y kg/m3 and if the scale of the axes is in meters, then the mass of the solid is approximately: A) 20.5710 kg B) 21.2571 kg C) 52.8134 kg D) 31.8857 kg
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