x Let W [[[ λ (3,0,-1) 3x dV (0,0,8) (0,3,8) (0,0,-1) (0,3,-1) Y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
Question

Consider the solid λ bounded by the xz-plane, the yz-plane, the plane z = −1, the plane x+y = 3, and the cylinder z = 8 − xas shown in the picture attached.

 Let C be the volume of the solid λ, and suppose that the density at each point (x, y, z) in λ is given by δ(x, y, z) = 3. Express the x-coordinate of the center of mass of λ in terms of C, W, and constants. 

x
Let W
=
JIJ
λ
(3, 0,-1)
3x dV
(0,0,8)
(0,3,8)
→ (0,0,-1)
(0,3,-1)
y
Transcribed Image Text:x Let W = JIJ λ (3, 0,-1) 3x dV (0,0,8) (0,3,8) → (0,0,-1) (0,3,-1) y
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