Consider a cube of side length 2 that is centered at the origin of a rectangular coordinate system. 3-a) State the vectors that define the edges of the cube. 3-b) Using vector operations and explaining each step, find the surface areas (as vectors) for each of the sides of the cube. 3-c) Using vector operations and explaining each step, find the volume of the cube.

What are the exclude value of mn+3m

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe