An orchard text design a rectangle flower garden such that the width is exactly 2/3 of length. 420 feet is antique picking fence are used to be enclosed the garden, find the dimension of the garden

Find dy/dx using implicit differentiation ln(20+e^xy)=y

Find the value of x for which the lines are parallel.

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.