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Consider the group Z[4] × Z[6] under * such that(a, b) * (c, d) = (a +[4] c, b +[6] d).(here +[4] means + is in Z[4] and +[6] is in Z[6])
We would like to find a group of permutations that is isomorphic to Z[4]Z[6].
Is this group cyclic? If so, prove it. If not, explain why.
Do I need to list all the members and check or is it enough to know that Z[2]xZ[12] has the same order. And then check that their identity elements have the same order?
Solve using the substitution method.5x + 3y = 2x = 6 - 2y
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Antonio is a simple minded carpenter. He bought a shipment of external drywall panels (12 ft x 4 ft) that he wants to use for building new houses in a new development.
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For the rational expression (x^2-1) / (x+1)^2, the domain of this is expression is?
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Solve the linear equations problem
We have 20 kinds of presents; and we have a large supply of each kind.
Find a function f that models the investigator's fee as a function of x. Toricelli's Law gives the volume of water remaining in the tank after t minutes as follows. V(t)=100(1-t/44)2.
Using graphical method for solving maximization problem
How many ways are there to select a committee of ?ve members of the department if at least one woman and at least one man must be on the committee
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