Find the center of gravity of the cube that is determined bythe inequalities 0 x 1, 0 y

Chapter 14, Problem 30

(choose chapter or problem)

Find the center of gravity of the cube that is determined by the inequalities

$0 \leq x \leq 1,0 \leq y \leq 1,0 \leq z \leq 1$ if

(a) the density is proportional to the square of the distance to the origin;

(b) the density is proportional to the sum of the distances to the faces that lie in the coordinate planes.

Equation Transcription:

$0\leq{}x\leq{}1,\ 0\leq{}y\leq{}1,\ 0\leq{}z\leq{}1$

Text Transcription:

0 leq x leq 1, 0 leq y leq 1, 0 leq z leq 1

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