George is trying to create a rectangular box with a square base to ship his product in. he wants it to enclose the maximum volume but he only has 56 square feet of material to use. in order to find the dimensions he sets up two equations: v = yx2 2x2 + 4xy = 56 what does the 4 in the second equation mean? a) the volume of the box. b) the number of faces the box has. c) the number of bases the box has. d) the total amount of material he can use to create the box.

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.