MATA 32&33 Solution Manual.pdf

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Department
Mathematics
Course
MATA32H3
Professor
Raymond Grinnell
Semester
Fall

Description
Table of Contents Chapter 0 1 Chapter 1 35 Chapter 2 54 Chapter 3 89 Chapter 4 132 Chapter 5 160 Chapter 6 177 Chapter 7 231 Chapter 8 295 Chapter 9 333 Chapter 10 357 Chapter 11 378 Chapter 12 423 Chapter 13 469 Chapter 14 539 Chapter 15 614 Chapter 16 658 Chapter 17 670 Chapter 0 Problems 01 22xxx17 True 2222 1 True 13 is a negative integer ba b 2 True because 2 and 7 are integers and 708 True because a cc 3 False because the natural numbers are 1 2 39 False the left side is 5xy but the right side is and so on 25xy 004 False because 1 10 True by the associative and commutative properties x4yx4y4xy4xy 55 5 True because 11 distributive 1 12 commutative6 False since a rational number cannot have 7 is not a number denominator of zero In fact13 associative 0at all because we cannot divide by 014 definition of division 255 which is a positive7 False because15 commutative and distributive integer16 associative 2 is an irrational real number8 True17 definition of subtraction9 False we cannot divide by 018 commutative10 False because the natural numbers are 1 2 319 distributive and so on and 3 lies between 1 and 220 distributive11 True21 2xy72xy2x72xy72x12 False since the integer 0 is neither positive nor2xy72x2xy14x negative bcabc22 abcaProblems 02acbacb1 False because 0 does not have a reciprocal23 xy22xy2x2y 7321 24 227xy227yx227yx1 2 True because 3721 2y27x25 x2y13x2y13x2y43 False the negative of 7 is 7 because x2yx4x2y4x2xy4x 770 2xy4x 4 False 23421224 but26 1abc1bcabc232468481b1cabacbcabac5 False xyyxyx6 True x24x4244x8 1 Chapter 0 Review of Algebra ISM Introductory Mathematical Analysis51 X1X27 xyzwxyzwxyzxwxyzxwxyxzxw52 3x43x343x12xyxzxw53 45x454x204x28 24654 x2x229 62455 0x030 642 18 18 31 725 856 111111 32 747411 55 57 33 5135138 1 34 abab 14272xxx 58 35 292918 yy y21373 36 797963 333 59xxx2 2 2 37 2122122438 19111911919 21212 60xxx333191939 1133aa ba b9b3 61cc c 40 6x6x6x 757 62 a41 7x7x7x 5a 42 12xy12x12y12x12yabyabybyor 12y12x63axaxx 43 6y6y6y 71717 64331 31yxyxxy31544 1515535252510 65999 11927 45xyxyx y27279331132325aa 66ab 46236666bb5359591 4277 47 2622486712412121212266 48 3236236123618 3791 491 455 116849 241818 101530303030566 50 12121212144 2
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