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Prove that in Sn with n > = , any even permutation is a product of cycles of length three. Hint: (a,b)(b,c) = (a,b, c) and (a,b)(c,d) = (a,b,c)(b, c, d)
Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the solution sets mean, and then display a simple line graph for each solution set as demonstrated in the Instructor Guidance in the l..
Resigning Probabilities, A company finds that on average 20% of all new employees resign during their first year of employment
An animal population can be modeled by function p(t) = 6+5.2*e^(0.02t). What is the average size of the population of these animals over the first 10 years.
Evaluate an amount of gravel from the given ratio - How much gravel and sand should he add to make concrete?
Probabilities, A survey of MBA students obtained the following data on "student's first reason for application to the school in which they matriculated".
A motorboat travels 455 km in 7 hours going upstream and 963 km in 9 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Let S be the conic surface z = 3 sqrt (x^2 + y^2), where z is greater than or equal to 0 and less than or equal to 3. Find (double integral over S) z dS.
a theater has 30 seats in the first row, 32 seats in the second row, increasing by 2 seats per row for a total of 26 rows. How many seats are there in the theater?
A grapefruit is tossed straight up with an initial velocity of 27 ft/sec. The grapefruit is 3 feet above the ground when it is released. Its height at time t is given by y=-16(t^2)+27t+3. How high does it go before returning to the ground?
Signature loans may not exceed 13% of the funds invested in all loans (automobile, furniture, other secured, and signature loans). Furniture loans plus other secured loans may not exceed the automobile loans.
The surface area of a pyramid is 189 cm squared The area of the square base is 49 cm squared. What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
the length l width w and height h of a box change with time. at a certain instant the dimensions are l 1 m and w h 2
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