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Suppose that F is a field of characteristic 0 and E is the splitting field for some polynomial over F. If Gal(E/F ) is isomorphic to D6, prove that there are exactly three fields L such that E subset L subset F and [E:L] 5 6.
At noon, ship A is 65 km due north of ship B. Ship A is sailing south at 14 km/hr and ship B is sailing east at 16 km/hr. How fast are the the two ships approaching each other 5 hours later at 5:00?
Step by step process in solving the following question. Using matrix algebra techniques, find a general solution of the system:
Assignment 2. Recall that a tournament is a complete graph with directed edges (so we think of the vertices as players in a tournament in which every pair of players play each other, with a directed edge (u, v) if u beats v). Fix a positive intege..
1) Describe the valuable functions brands can perform for a firm, the function of brand tracking studies, and the meaning and function of a brand audit.
A company made 4,325 cars in 5 days. The company made 2,000 red cars, 1,500 blue cars, and 825 green cars. The same number of cars was made each day. How many cars were made each day?
Sketching the graph of Cosecant function and identifying its asymptotes
y=-2x^2+4x-4 solve by completing square for this f(x),
Let D be the region lying between the hyperbolas xy = 1, xy = 2 and the lines y = x,y = 4x. Evaluate the integral Double integral D yxdA.
If a stone is tossed from the top of a 330 meter building, the height of the stone as a funtion of time is given by h(t)=-9.8t^2-10t+330, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round t..
point A has the cartesian coordinates of (8,5)while point Bhas the cartesian coordinate of (4,11). with point A as the origin,what would be the relative coordinates of point B?
what is the difference between a left-tailed two-tailed and right-tailed test. when would you choose a one-tailed test?
Three forces with magnitudes of 70 pounds, 40 pounds, and 60 pounds act on an object at angles of -30 degrees, 45 degrees, and 135 degrees, respectively, with the positive x-axis. Find the direction and magnitude of the resultant of these forces.
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