MTH 314 Final: MTH314 - W2008 Final

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31 Jan 2019
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Instructions: you are allowed an 8 1. 2 11 formula sheet written on both sides: no other aids allowed. Electronic devices such as calculators, cell-phones, pagers, mp3 players, etc, must be turned o and kept inaccessible during the test: verify that your paper contains 8 questions on 9 pages, in every question show all your work. The correct answer alone may be worth nothing: if you need more space continue on the back of the page, directing marker where the answer continues with a bold sign. Page 2: (a) find each of the following graphs if they exist. If they do not exist, explain brie y why not. Page 5: prove the following using the standard set identities. Be sure to clearly reference any identity you use. Mk (a b) (c a) = a (b c) Page 6: consider the statement ( x r)( y r)(xy < x)

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