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Let G be a group of order n and suppose that G has 2^(n-1) subgroups. Show that G = <e> or G is isomorphic to Z2 . You may use the fact that a set of k elements has 2^k subsets.
what are all the zeros of the function g(x)=x^5-8x^4+28x^3-56x^2+64x-32 and how do i write the polynomial as a product of linear factors.
an oil company distibutes oil in a metal shaped like a cylinder that has an actual radius of 5.1 cm and a height of 15.1 cm. A worker incorrectly measured the radius as 5 cm and the height as 15 cm. Determine the relative error in calculating the ..
Digital information can be represented through the use of Boolean algebra, which is an important concept to study if one wishes to understand how computers work.
consider the labeled points on the real line -21-1-10121. the second coordinate is the y-label. consider the family of
What is the probability of drawing three queens in a row from a deck of cards when the drawn card is returned each time?
The lifetime of an automatic transmission produced by the BW Company is normally distributed with a mean of 100,000 miles and a standard deviation of 20,000 miles.
Show that == (where == is the equivalence relation defined below) is an equivalence on A, and find a (well-defined) bijection %: A== -> B, where
a manufacturer uses a tank to supply water to his machines while they are working. when the machines are on the tank
A 17 ft ladder leans against a wall. The bottom of the ladder is 4 ft from the wall at time t=0 and slides away from the wall at a rate of 1 textrm{ft/sec}.
give the definition for a cauchy sequence of real numbers, prove that every convergent sequence is a cauchy sequence.
Let H be a random variable with probability p1 that has a Geometric distribution G1 Let Y be a random variable with probability p2 that has a Geometric distribution G2
Specify an appropriate boundary condition at x = 0 to ensure that the problem is self-adjoint. b) Use the Rayleigh quotient to show that there are no negative eigenvalues.
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