a=x^((1)/(3))y^((1)/(3))+x^(-(1)/(3))y^(-(1)/(3))quad vec 8~|,quad vec pi

(x+1)/(2)+(y-1)/(3)=8;(x-1)/(3)+(y+1)/(2)=9

(x+1)/(2)+(y+1)/(3)=9,(x-1)/(3)+(y+1)/(2)=8 then x=………

If (x + y) ^((1)/(3)) + (y + x) ^((1)/(3)) =- ( z + x ) ^((1)/(3)) , then (x ^(3) + y ^(3) + z ^(3)) can be expressed as :

if y=3x+6x^(2)+10x^(3)+............ then the value of x in terms of y is (i) 1-(1-y)^(-(1)/(3))( ii) 1-(1+y)^((1)/(3))( iii) 1+(1+y)^(-(1)/(3))( iv )1-(1+y)^(-(1)/(3))

Area enclosed between the curves |y|=1-x^(2) and x^(2)+y^(2)=1 is (3 pi-8)/(3) (b) (pi-8)/(3)(2 pi-8)/(3) (d) None of these

1/(3x+y) + 1/(3x-y) = 3/4 1/(2(3x+y)) - 1/(2(3x-y)) = -1/8

Solve the following simultaneous equations. (1)/(3x + y) + (1)/(3x - y) = (3)/(4) , (1)/(2(3x + y)) - (1)/(2(3x - y)) = - (1)/(8)

Solve the following system of equations: (1)/(3x+y)+(1)/(3x-y)=(3)/(4),quad (1)/(2(3x+y))-(1)/(2(3x-y))=-(1)/(8)

1/(3x+y)+1/(3x-y)=3/4 and 1/(3x+y)-1/(3x-y)= -1/4

If y=x^(1/3)-x^(-1/3) , prove that y^(3)+3y=x-(1)/(x)