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This assignment is a mathematical paper rather than a homework assignment. In particular do no state a problem and jump right into a solution. Segue naturally into the problems. This is quite terse, so more words and explanations are needed and it should flow like a report or paper. Some background on theorems and properties used should be provided for the reader and flow into it the assigned problems one at a time with something like "Consider the Cayley graph of...Let's determine if this has a Hamilton circuit".
When you provide background and theorems, use your own numbering. Do not say, for example "Theorem 14.4". Assume the reader does not own the textbook.
Show that the Cayley digraph given in Example 7 has a Hamiltonian path from e to a.
Example 7: Q4 = {a,b |a4 = e, a2 = b2, b-1ab = a3}
Prove that the Cayley digraph given in Example 6 does not have a Hamiltonian circuit. Does it have a Hamiltonian path?
Example 6: A4 = {(12)(34),(123}
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $27 one-time activation fee and charges 12 cents a minute.
Find the y intercept.
Assuming that all variables represent positive real numbers rewrite the following in simplified radical form
solve the system by the substitution method 7x4y13
Determine the number of solutions you will have for the system 4y+x =16 and y=4-x
A bicycle manufacturer has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) = 0.1x^2- 0.7 x + 2.425, where C(x) is in hundreds of dollars.
find the equation of a line that passes through the point 07 that is perpendicular to the line with the equation y
Sketch the parabola and find the vertex.
Find the solution for x
Exhibit the solutions for our quadratic equation 2x2 + 5x - 3 = 0, using
a 10-foot tree casts a 12-foot shadow. at the same time a nearby cell tower casts a 60-foot shadow. how tall in feet is
Estimate the vertex and all intercepts of the parabola
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