Find the area under one arch of the cycloid, the curve you get when you trace a point on the radius of rolling circle. use the parameterization x=t-sint, y=1-cost from t=0 to t=2pi.

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.