(B) If 2x + 3y = sin x, then Find the value of

(a) If x : y = 3 : 4 , then find the value of the ratio (2x + y) : ( 9x - 2y) . (b) If x : y = 5 : 4 , then find the value of the ratio (x^(2) + xy) : (x^(2) - xy) .

If f(2x + 3y, 2x-3y)=4xy , then find the value of f(x,y)

If x = a cos theta ,y = b sin theta , then find the value of b^(2) x^(2) + a^(2) y^(2) - a^(2) b^(2) .

If 2x + 3y = sin x find (dy)/(dx) .

If 3x-2y=24 and 2x-3y=18, then find the value of x+y.

If 2x +3y = 30 and (x+y)/y = 11/8 , then find the value of 5y + 6x

If 2x+3y=8 and x y=2 , find the value of 4x^2+9y^2

If 2x+3y=13 and x y=6 , find the value of 8x^3+27\ y^3

If 2x+3y=13 and x y=6, find the value of 8x^3+27 y^3