MAD 2104 Midterm: MAD 2104 FIU Exam 210k

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15 Feb 2019
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If you need to use the back, leave a note here. Remarks and answers: the average was about 57 / 100. 1a) let x = 1 and y = 1. Then x2 = y2, but x3 6= y3. Notice that the counterexample includes values for both x and y because both are quanti ed by . There is no y r such that y2 < 0, so y2 = x is always false. Notice that the counterexample includes a value only for x, because only x is quanti ed by . 1c) let x = 2 and y = 7. 2a) a1 = z + = {1, 2, 3 . Any one of these answers is ok. we did this in class, and it is almost the same as example 16, page 128. This is very similar to an example from class and to example 16.

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