(b) A cubc has sidcs length of a cm and it is made of a matcrial of variablc density.If one corner is at the origin, the adjacent corners are on the positive x, y andz axes, then the density at the point (x, y, z) is given by 8(x, y, z) = b+ xyzgm/cm³. Find the mass of the cube.

Answered: (b) A cubc has sidcs length of a cm and…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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(b) A cubc has sidcs length of a cm and it is made of a matcrial of variablc density.
If one corner is at the origin, the adjacent corners are on the positive x, y and
z axes, then the density at the point (x, y, z) is given by 8(x, y, z) = b+ xyz
gm/cm³. Find the mass of the cube.

Expert Solution

Step 1

Given: Cube of side length $a$ cm, and density function of cube is $δ (x, y, z) = b + x y z$ ${gm/cm}^{3}$ where one corner of cube lies at origin and adjacent corners are on the positive $x, y$ and $z$ axes.

To find: Mass of the cube.

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