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Question 1(Multiple Choice Worth 10 points) (08.04 MC) The graph of y = 8x - x2 and the line y = 7 for 0 S
Question 1(Multiple Choice Worth 10 points) (08.04 MC) The graph of y = 8x - x2 and the line y = 7 for 0 S x $ 7 is shown. Which of the following gives the sum of the areas of the shaded regions? Of(8x-x2 -7)dx 0 1(7-8x+x2) dx (7-8x+x2) dx + 17 (8x-x2 -7)dx (8x -x2 -7)dx + $1 (7-8x+ x2) dx Question 2(Multiple Choice Worth 10 points) (08.02 MC) At the time a cup of chili is served, its temperature is 170 degrees Fahrenheit. The chili's temperature is modeled by the function C, where C(t) is measured in degrees Fahrenheit and t is measured in minutes. The rate at which the temperature of the chili is decreasing is given by C(t) = 22e-0.05P. According to the model, what is the approximate temperature of the cup of chili at t = 5 minutes? O 166.848 OF O 97.328 F 92.733 OF 77.267 OF Question 3(Multiple Choice Worth 10 points) (08.08 MC) The base of a solid is the region in the first quadrant between the graph of y = x2, the line x = 4, 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? 64 256 O 64 3 256 3
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