Find the average value gave of the function g on the given interval. g(x) = 2x^2* sqrt(8 + x^3) ,    [1, 2]

Which of the following correctly justifies statement four of the two column proof? a. corresponding angles theorem b. transitive property of equality c. vertical angle theorem d. substitution property of equality

You are a male who just graduated from college with a bachelor's degree. you have a job paying $50,780.00/yr. a. how does your salary compare to the yearly median earnings for a male with a bachelor's degree? b. what is the difference between the yearly median earnings for a male with a bachelor's degree compared to a male who does not attend college after earning a high school diploma?

Use stokes' theorem to evaluate c f · dr where c is oriented counterclockwise as viewed from above. f(x, y, z) = xyi + 5zj + 7yk, c is the curve of intersection of the plane x + z = 8 and the cylinder x2 + y2 = 81.