1. Sketch the region enclosed by y=3x and y=5x2. Find the area of the region.

2. Find the volume of the solid formed by rotating the region enclosed by y=e5x+3,y=0,x=0,x=0.3 about the x-axis.

3.Find the average value of the function f(x)=4x4 on the interval 2x4

4.If a cup of coffee has temperature 89C in a room where the ambient air temperature is 19C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t)=19+70e-t/46. What is the average temperature of the coffee during the first 12 minutes? average temp = C