A rectangle with one side lying along th...

A rectangle with one side lying along the x-axis is to be inscribed in the closed region of the `x y` plane bounded by the lines `y=0,y=3x ,a n dy=30-2xdot` If `M` is the largest area of such a rectangle, then the value of `(2M)/(27)` is_______

AI Generated Solution

Similar Questions

Explore conceptually related problems

Find the area bounded by the curves y=6x-x^2a n dy=x^2-2xdot

Find the area of the region bounded by the curves y=x^2+2, y=x ,x=0,a n dx=3.

Find the area of the closed figure bounded by the curves y=sqrt(x),y=sqrt(4-3x)a n dy=0

Find the area of the region bounded by the curves y=x^2+2, y=x ,x=0,a n d x=3.

Find the area of the region bounded by the curves 2y^2=x, 3y^2=x+1, y=0 .

Using intergration, find the area of the region bounded by the lines y=|x+1|,x= -3, x=1 and X-axis.

Find the area of the region bounded by the line y = 2x, X - axis and ordinate x = 2.

Find the area of the region bounded by the curve y=x^3 and the lines y = x + 6 and y =0.

Find the area of the region bounded by y =x^(2)+1 ,y=x ,x=0 and y=2

Find the area of the region bounded by y=3^(x) and the lines y = 3 and x = 0.