M325K Sample Test 1D - a n L < . 6) Give an...

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Exam 1 M325K Dr. Berg Name__________________________ EID____________ Fall 09 1 1) Use a truth table to establish that ( p ¬ q ) p p . 2) Use a truth table to establish that a conditional statement is not logically equivalent to its converse. (Point out what makes them not equivalent.) 3) Explain what it means to say that an argument form is valid. Explain what it means to say that an argument is valid.
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Exam 1 M325K Dr. Berg Name__________________________ EID____________ Fall 09 2 4) Write the following sentences as quantified statements. a) “Everybody loves somebody sometime.” b) “Every even integer greater than 2 can be written as a sum of two prime numbers.” 5) Negate the definition of the limit of a sequence. A sequence { a k } k = 1 has a limit L when, for every ε > 0 there is a positive integer N such that, for each integer n , if n N then
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Unformatted text preview: a n L < . 6) Give an example of each of the following: a) Modus Ponens b) Modus Tollens Exam 1 M325K Dr. Berg Name__________________________ EID____________ Fall 09 3 7) Give an example of each of these errors in a universal statement. a) Converse error. b) Inverse error. 8) Draw diagrams (three) for the premises and conclusion to determine whether this argument is valid. All polynomial functions are differentiable. All differentiable functions are continuous. Thus, all polynomial functions are continuous. Exam 1 M325K Dr. Berg Name__________________________ EID____________ Fall 09 4 9) Show that, for all integers a , b and c , if a divides b and a divides c , then a divides b + c . Proof: 10) a) If the current day is Wednesday, what day will it be in 90 days? b) i) 29div4 = __________ ii) 29mod4 = ____________...
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This note was uploaded on 09/18/2011 for the course MATH 325K taught by Professor Shirley during the Fall '11 term at University of Texas at Austin.

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M325K Sample Test 1D - a n L < . 6) Give an...

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