Newton’s law of cooling states that dx dt = (x a) where x is the temperature, t is time, a is the ambient temperature, and k > 0 is a constant. suppose that a = a0 cos(! t) for some constants a0 and ! . that is, the ambient temperature oscillates (for example night and day temperatures). a) find the general solution. b) in the long term, will the initial conditions make much of a di erence? why or why not?

Kathleen's gross annual salary is $56,820. what is the maximum amount of rent she can afford to pay? round your answer to the nearest dollar. question 1 options: $1146 $1326 $1656 $2368

Adriver from the university of florida women’s swimming and diving team is competing in the in ncaa zone b championships

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.