Question

(b) Find the mass, $M$, of a solid cuboid with density function $\rho(x, y, z) = 3x(y + 1)^2z$, given by $M = \int_{x=-1}^{2} \int_{y=0}^{1} \int_{z=1}^{3} \rho(x, y, z)dzdydx$

          (b) Find the mass, $M$, of a solid cuboid with density function $\rho(x, y, z) = 3x(y + 1)^2z$,
given by
$M = \int_{x=-1}^{2} \int_{y=0}^{1} \int_{z=1}^{3} \rho(x, y, z)dzdydx$

(b) Find the mass, M, of a solid cuboid with density function ρ(x, y, z) = 3x(y + 1)^2z,
given by
M = ∫x=-1^2∫y=0^1∫z=1^3ρ(x, y, z)dzdydx

Added by Margaret L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Chapter 15

Instant Answer

Solved by Expert Donna Densmore

Step 1

We have: ∫ ρ(x,y,z) dz = ∫ (3y + z) dz = 3yz + 0.5z^2 + C Show more…

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Find the mass, M, of a solid cuboid with density function Ï(x,y,z) = 3y + 1z given by M = âˆ«âˆ«âˆ« Ï(x,y,z) dz dy dx = 1

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Question

(b) Find the mass, $M$, of a solid cuboid with density function $\rho(x, y, z) = 3x(y + 1)^2z$, given by $M = \int_{x=-1}^{2} \int_{y=0}^{1} \int_{z=1}^{3} \rho(x, y, z)dzdydx$

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