Question

A rectangle is drawn in the first quadrant so that it has two adjacent sides on the coordinate axes and one
vertex on the curve y = − ln x. Find the x-coordinate of the vertex for which the area of the rectangle is a
maximum.
Draw a diagram. The area is
A = xy = -x lnx
dA/dt = -lnx - 1
A has a max of 1/e when x = 1/e

Related Questions

the diagonal of a rectangle with side A,B(B>A)makes an angle 60 degree with one of its sides.the rat... Find the area. The figure is not drawn to scale. A figure is composed of a rectangle and a right... Use the image to answer the question.Two rectangles are drawn on a coordinate plane. Rectangle A B C... Two rectangles are drawn on a coordinate plane. Rectangle A B C D is in quadrant 2. Rectangle A prim...