Kate is placing a bookcase on a wall in her room. The length of the bookcase is 84 inches, the width of the bookcase is half the length. What is the area of the section of the wall that the bookcase will cover?

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.