Find the greatest value of `x^2 y^3`, where x and y lie in the first quadrant on the line `3x+4y=5`.

Find the greatest value of x^3y^4 if 2x + 3y = 7 and x>=0,y>=0 .

Find the greatest value of x^3y^4 if 2x + 3y = 7 and x>=0,y>=0 .

Find the greatest value of x^3y^4 if 2x + 3y = 7 and x>=0,y>=0 .

Find the greatest value of x^3y^4 if 2x + 3y = 7 and x>=0,y>=0 .

The greatest value x^2y^3 is, where xgt0 and ygt0 are connected by the relation 3x+4y=5

Find the greatest value of x^(3)y^(4) if 2x+3y=7 and x>=0,y>=0 .

Find area of the region bounded by the parabola x ^(2) = 4 y, the Y-axis lying in the first quadrant and the lines y =3.

Find the area bounded by the curve y= sqrt(x), x= 2 y +3 in the first quadrant and Y- axis

Find the area of the region bounded by x^(3)=y-3,y=4,y=6 and y-axis in the first quadrant.