Suppose you deposit $1000 at 6% interest compounded continously. Find the average value of your account during the first 2 years. If a cup of coffee has temperature 92C in a room where the ambient air temperature is 25C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) : 25 + (WeU45. What is the average temperature of the coffee during the first 32 minutes? average temp = C Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a mathematician, she suggests building fences described by y : 9:132 and y : 3:2 + 7. Farmer Jones 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 : 4:1: and y : 6332. Find the area of the region. Q 4:13 Sketch the region enclosed by y : 621, y : e , and :1: : 1. Find the area of the region. Determine the volume of the solid generated by rotating function m) : N/ 81 9:2 about the x-axis on [8,9]. Volume = Find the volume of the solid obtained by rotating the region bounded by y : 7:122, :13 : 1, :L' : 5 and y : 0, about the :E-axis. V: Find the volume of the solid formed by rotating the region enclosed by y = e" 57 + 1, y = 0, x = 0, x=0.1 about the x-axis.Find the average value of the function f(x) = 2x on the interval 3