# t.inc - only xed-pt of h is .... . The set of posints k...

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MAS3300 Exam-T Prof. JLF King 8Mar2006 Note. This is an open brain, open ( pristine ) Sigmon- Notes exam. Please write each solution on a separate sheet of paper. Please be sure to write expressions unambigu- ously e.g, the expression “1 /a + b ” should be bracketed ei- ther [1 /a ]+ b or 1 / [ a + b ]. Be careful with negative signs! Every if ” must be matched by a “ then ”. T1: Short answer: Show no work . If a question is not well-deﬁned, then write DNE for Does Not Exist . z The author of our text is ± ² ³ ´ Circle : Archimedes Machen DNE Bogart Sigmon Euler a The number 16 27 has these two base 3 numerals: N 1 = .................. ; N 2 = .................. . b + Compute D := Gcd(321 , 51)= .... via Lightning (Euclid.Alg), and integers S = .... and T = .... satisfy 321 S + 51 T = D . c + Posints n = ....... and d = ....... have ra- tio n d equal 0 . 7 43, a repeating decimal. d + Mod-50, the reciprocal 1 / 21= . . [ Hint: LBolt] So the soln to 4 + 21 x 50 1 is x = ...... [ 0 .. 50 ) . e Deﬁne h : [ 1 .. 12 ] ± where h ( n ) is the number of letters in the n th Gregorian month. So h (2) = 8, since the 2 nd month is “February”, which has 8 letters. The
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Unformatted text preview: only xed-pt of h is .... . The set of posints k where h k (12) = h k (7) is ............................... . T2: Consider a commutative ring ( , + , , , 1 ) , i OSSOPPlease nish these sentences: An elt z is a zero-divisor if. .. A u is a unit if. ... ii Prove that no zero-divisor is a unit. T3: Prove that there is no rational n d whose square is 12. Bonus: Write the set of Composites using set-builder notation. T1: 120pts T2: 80pts T3: 80pts Bonus: 15pts Total: 280pts Ordinal: Print name ........................................... Honor Code: I have neither requested nor received help on this exam other than from my professor (or his colleague) . Signature: ......................................... Filename: Classwork/NaPo/NaPo2006g/t.inc.latex As of: Wednesday 08Mar2006 . Typeset: 8Mar2006 at 18:42 ....
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## This note was uploaded on 01/26/2012 for the course MAS 3300 taught by Professor Staff during the Summer '08 term at University of Florida.

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