Let J be the solid enclosed by the planes x+2y+z=4, x-y+z=4, the xy-plane, and the yz-plane. The density at each point K(x,y,z) ∈ J is the distance of K from the yz-plane. What is the equation for the density at each point? (I know this has something to do with the x-coordinates of the solid seeing as that's the distance from the yz-plane but I don't know how to formulate the function/equation. Please help.)
Let J be the solid enclosed by the planes x+2y+z=4, x-y+z=4, the xy-plane, and the yz-plane. The density at each point K(x,y,z) ∈ J is the distance of K from the yz-plane. What is the equation for the density at each point? (I know this has something to do with the x-coordinates of the solid seeing as that's the distance from the yz-plane but I don't know how to formulate the function/equation. Please help.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let J be the solid enclosed by the planes x+2y+z=4, x-y+z=4, the xy-plane, and the yz-plane.
The density at each point K(x,y,z) ∈ J is the distance of K from the yz-plane.
What is the equation for the density at each point? (I know this has something to do with the x-coordinates of the solid seeing as that's the distance from the yz-plane but I don't know how to formulate the function/equation. Please help.)
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