Area enclosed by co-ordinate axes and the given curve

A curve is such that the area of the region bounded by the co-ordinate axes,the curve delta the coordinate of any point on it is equal to the cube of that ordinate.The curve represents

If A_(1) is the area enclosed by the curve xy=1, x-axis and the ordinates x=1,x=2,and A_(2) is the area enclosed by the curve xy=1, x-axis and the ordinates x=2, x=4, then

A curve y=f(x) passes through the origin. Through any point (x,y) on the curve,lines are drawn parallel to the co-ordinate axes.If the curve divides the area formed by these lines and co-ordinates axes in the ratio m:n, find the curve.

A tangent to y^2 = 7x is equally inclined with the co-ordinate axes then the area of the triangle formed by the tangent with the co-ordinate axes is 25/16 49/32 36/25 49/36

The area enclosed by the curve xy=3 and the line y=4-x

The area enclosed by the curve xy=3 and the line y=4-x

The co-ordinates of the point P on the graph of the function y=e^(-|x|) where the portion of the tangent intercepted between with the co- ordinate axes has the greatest area,is

A straight line segment (3,4) in the first quadrant meets the co ordinate axes in A and B.The minimum area of Delta AOB is

Area enclosed between the curve y^(2)=x and the line y = x is