An ecology center wants to set up an experimental garden using 400 meters of fencing to enclose a rectangular area of 9900 square meters. find the dimensions of the garden. (note that the fencing will be the perimeter of the garden, and the formula for the perimeter of a rectangle is p = 2l + 2w.)

At a certain instant after jumping from the airplane a, a skydiver b is in the position shown and has reached a terminal (constant) speed vb = 52 m/s. the airplane has the same constant speed va = 52 m/s, and after a period of level flight is just beginning to follow the circular path shown of radius ρa = 2330 m. (a) determine the velocity and acceleration of the airplane relative to the skydiver. (b) determine the time rate of change of the speed vr of the airplane and the radius of curvature ρr of its path, both as observed by the nonrotating skydiver.