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**m**= (x+**y**+**z**)/3 ...given**m**= x/3 +**y**/3 +**z**/3 ....distribute**m**= x/3 +**z**/3 +**y**/3 + -(**y**/3) ...subtract "**y**/3" from right side of the problem...**m**-**y**/3 = x/3 +**z**/3 ...where we should now be at -(**m**) +**m**-**y**/3 = x/3 +**z**/3 + -(**m**) ....subtract "**m**...2 Answers · Science & Mathematics · 22/10/2007

**M**= xe^(**y**-**z**^4) partially differentiating with respect to x dM/dx = e^(**y**-**z**^4 ) dM / dy = x e^ (**y**-**z**^4 ) dm / dz = - 4 x**z**^3 e^ (**y**-**z**^4 ) dx / du = d ( 8 u v ) / d x = 8 v dx / dv = 8u lly dy / du = 1 and dy/dv...1 Answers · Science & Mathematics · 21/02/2010

**m**= ∫∫∫ δ(x,**y**,**z**) dV ....= ∫(x = 0 to 2) ∫(**y**= 0 to...to 2) ∫(**y**= 0 to 2-x) ∫(**z**= 0 to 2-x-**y**)**z**^2 dz dy dx ....= 8/15 Hence, the center of mass (Mx/**m**, My/**m**, Mz/**m**) equals...1 Answers · Science & Mathematics · 05/05/2019

x =

**y**-**m**(**y**-**z**) x -**y**= -**m**(**y**-**z**) {subtracted**y**from both sides} -x +**y**=**m**(**y**-**z**) {divided both sides by -1} -x +**y**--------- =**m**{divided both sides by**y**-**z**}**y**-**z**http://www.algebrahouse.com2 Answers · Science & Mathematics · 21/10/2011

∇ = ( d/dx, d/dy, d/dz ) F = (

**M**(x,**y**,**z**), N(x,**y**,**z**), P(x,**y**,**z**) ) ∇•F = ( d/dx, d/dy, d/dz...1 Answers · Science & Mathematics · 29/06/2015

X(

**m**+5)+**y**(**m**-5)=**z**(**m**-4) Expand: mX + 5X + my - 5y = mz - 4z Gather... + my - mz = 5y - 5X - 4z Factor out**m**on the left:**m**(X +**y**-**z**) = 5y - 5X - 4z Divide by the non-**m**factor:**m**= ( 5y - 5X - 4z...1 Answers · Science & Mathematics · 29/01/2011

**m**= ∫∫∫ ρ(x,**y**,**z**) dV ....= ∫(**z**= 1 to 5) ∫(**y**= 0 to 2) ∫(x = 1 to 3...dy * ∫(x = 1 to 3) x² dx ....= (1/2)z² {for**z**= 1 to 5} * (1/2)y² {for**y**= 0 to 2} * (1/3)x³ {for x = 1 to 3} ....= 12 * 2 * (26...1 Answers · Science & Mathematics · 04/03/2013

Min is at x =

**y**= 1 - √2 and**z**= -1 (**M**= 5 - 4√2) Max is at x =**y**= 1,**z**= 0, (**M**= 2) also at x = -1,**y**= -1,**z**= 0, (**M**=2)1 Answers · Science & Mathematics · 17/10/2008

you just click on the letters

**Z**-U-**M**-**Y**-L-O-V-E-J-I-N-G and then nancy will ask for that piece of paper2 Answers · Games & Recreation · 03/08/2006

**m**= ∫∫∫s δ(x,**y**,**z**) dV = ∫∫∫s [10z^4 + 6(x^2 -**y**^2)^2] dV = ∫(θ = 0 to 2π... Simplifying, we get ∫(θ = 0 to 2π) ∫(r = 0 to a) ∫(**z**= 0 to h) [10z^4 + 6(r^2 cos(2θ))^2] * r dz dr dθ = ∫(θ = 0 to 2π) ∫(r...1 Answers · Science & Mathematics · 06/02/2011