Suggested: 13.if x+y+z=0 show that x^(3)+y^(3)+z^(3)=3xyz - 12.verify that x^(3)+y^(3)+z^(3)-3xyz=(1)/(2)(x+y+z) (x-y)^(2)+(y-z)^(2)+(z-x)^(2) - 3x/2-5y/3=-2 x/3+y/2=13/6 by substitution method - 7(y+3)-2x+2)=14 4(y-2)+3(x-3)=2 by substitution method - if u=tan^-1(x^3+y^3/x-y) - x+2/y+2=9/11 x+3/y+3=5/6 - x/2+2y/3=-1 and x-y/3=3 - if u=xlog xy where x^3+y^3+3xy=1 find du/dx - x/2+2y/3=-1 and x-y/3=3 by substitution method - x/2+2y/3=-1 and x-y/3=3 by elimination method - x+y+z=1 2x+2y+3z=6 x+4y+9z=3 matrix inversion method - 2x+y+z=1 x-2y-z=3/2 3y-5z=9 - x^3+y^3+z^3-3xyz=1/2(x+y+z)((x-y)^2+(y-z)^2+(z-x)^2) - y(2x-y+1)dx+x(3 x-4y+3)dy=0 - 1(x^3+y^3 Browse related:
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