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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.
This line is called a geodesic line. Apply the Law of Cosines for a spherical triangle to find the angle between Great Falls and Lemhi. How far did that explorers travel just to get that far?
A company's marginal cost function is MC(x)(given below), where x is the number of units. Find the total cost of the first hundred units (x = 0to x = 100).(Round your answer to the nearest cent.) MC(x) = 4e-0.02x
The graph of f' (the derivative of f) is shown below. At what value of x does the graph of f(x) change from increasing to decreasing? You may assume that the x-intercepts all intergers.
Derive the frequency integration formula
A submarine started at the surface of the water and was moving down at -15 kilometers per minute toward the ocean floor. The submarine traveled at this rate for 48 minutes before coming to rest on the ocean floor. What is the depth of the ocean..
A sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia. The data obtained is shown in the table below.
A product is produced at three plants and shipped to four warehouses. Production costs per unit is $50 at Plant A, $20 at Plant B, and $30 at Plant C. The transportation costs per unit, plant capacity, and warehouse demand are given as follows: Wareh..
Use the distributive property to remove the parentheses in the following expression. Then simplify your result if possible.
A colony of bacteria grows according to the law of uninhibited growth. If 100 grams of bacteria are present initially, and 250 grams are present after two hours, how many will be present after 4 hours? Note: Do not round the value of k.
Rate of change over the time intervals .
What is the next value?
harry decided to save money for his new born sons college cost right now. he wants to have 120000 in 18 years. bank of
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