2 Find .2 > El such that the area of the region enclosed by the parabolas y = I c1' and y = :31' I? is 450 There is a line through the origin that divides the region bounded by the parabola y = :11- 7.1-2 and the x- axis into two regions with equal area. What is the slope of that line? :1 \fFind the average value of the function it) = 314 an the interval 0 E I g 2 :1 The temperatue of a town i months after January can be estimated by the function my = 25cos(%t) + 64 Find the average temperature from month 1 to month (:- |:] Suppose you deposit $4000 at 3% interest compounded continuously. Find the average value of your account during the first 3 years. 4:] If a cup of coffee has temperature 5'1": in a room where the ambient air temperature is 1?'C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is TIE} = 1'? + 7454-553. What 15 the average temperature of the coffee during the first 10 minutes? average temp = 'C A bucket begins weighing 15 pounds; including the sand it holds. The bucket is to be lifted to the top of a 40 foot tall building by a rape of negligible weight. However, the bucket has a hole in it, and leaks 0.2 pounds of sand each foot it is lifted. Find the work done lifting the bucket to the top of the building. How much work is done lifting a 40 pound object from the ground to the top of a 55 foot bu1lding 1f the cable used weighs 1 pounds per foot? Find the volume of the solid obtained by rotating the region bounded by y = 612,1- = 1, and y = {1, about the Iaxis. Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the curves x = 0, y = 1, x = y , about the line y = 1.Find the volume of the solid formed by rotating the region enclosed by y=esm+2I y=, $=D, I=C|.S about the 1-3315. :1