Question 1:

FarmerJones, and his wife, Dr. Jones, decide to build a fence in their eld to keep the sheep safe. Since Dr.Jones is a mathematician, she suggests building fences described by y = 11532 and y = 2:2 + 11. Farmerjones thinks this would be much harder than just building an enclosure with straight sides, but he wants to please his wife. What is the area of the enclosed region? Sketch the region enclosed by y = 6x and y = 4x2. Find the area of the region.Determine the volume of the solid generated by rotating function f(a:) = V 81 2:2 about the a:- amson[4,9l Volume = Find the volume of the solid obtained by rotating the region bounded by y 2 51:2, m = 2,1: = 5, and y = 0, about the w-axis. \fIf a cup of coffee has temperature 89 C in a room where the ambient air temperature is 22 C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) = 22 + 67e-t/ 46. What is the average temperature of the coffee during the first 10 minutes? average temp = .C