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I have the following cayley tables (which is in modulo 9)
determine the order of each element . Prove that G is a cyclic group.
Let be the symmetric group of degree 3 together with composition of maps. Is G isomorphic to ? Justify your answer.
Let p be a prime number and G a group of order with identity element e. let and be a subgroup of G. prove that U is cyclic
Attachment:- Cyclic group.zip
In how many ways can the program be arranged if an overture must come first?
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $30 one time activation fee and charges 8 cents a minute.
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A rectangular garden has dimensions of 15 feet by 11 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 square feet?
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To solve this problem I must, first, verify that the indicated expression is an implicit solution of the given first-order differential equation then find at least one explicit solution.
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