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
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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 − x2 as 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.
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