1. (08.04 MC) The graph of y = 6x - x2 and the line y = 5 for 0 s x s 5 is shown. 10 N -1 27 Which of the following gives the sum of the areas of the shaded regions? (10 points) O [(5-6x+x2) dx + (6x-x2 -5)dx O ((6x - x2 - 5) dx O ((5-6x +x2) dx (6x-x2 -5)dx + (5-6x+x2)dx2. (08.08 MC) The base of a solid is the region in the first quadrant between the graph of y = x4, the line x = 3, and the x-axis. For each solid, each cross section perpendicular to the x-axis is an equilateral triangle. What is the volume of the solid? (10 points) O 243 3 20 81 20 O 243 20 - 7 O 81 3 20 3. (08.02 MC) At the time a bowl of ramen is served, its temperature is 100 degrees Fahrenheit. The ramen's temperature is modeled by the function R, where R(t) is measured in degrees Fahrenheit and t is measured in minutes. The rate at which the temperature of the ramen is decreasing is given by R(t) = 22e-0.05. According to the model, what is the temperature of the bowl of ramen at t = 3 minutes? (10 points) O 57.305 #F 95.792 *F 61.288 *F 42.695 F4. (08.07 MC) What is the volume of the solid generated when the region bounded by the graphs of y = vx and y= _ x is revolved about the y-axis? (10 points) 2431 2 O 1627 5 O 1792AT 5 O 2 5. (08.01 MC) For t 2 0, the velocity of a particle moving along a line is given by v(t) = t- - 2t, where t is time in seconds and v(t) is measured in feet per second. The initial position of the particle at t = 0 is x = 3. What is the total distance the particle traveled from t = 0 to t = 5? (10 points) 18 O 50 O 9 O w 8