Some Multivariable Calculus Homework Problems for Practice for Anton et al Calculus : Early Transcendentals, 8th Edition ___________________________________________________________________________ Notes: Before you tackle any of the "problems" listed below by section, and after having read the section at least once, read and work through the Quick Check Exercises that appear at the very beginning of each exercise set. You will find a set of "answers" for these exercises im- mediately at the end of the exercise set, not at the end of the book. Don't peek until you have done them all and don't use a calculator unless there is actually no other way to proceed. Take time to write up your solutions with care. The journey is important. The magic lies in the very careful use of written language. [Remember that the funny looking symbols represent words or phrases.] You may also wish to wrestle with some of the Chapter Review Exercises at the end of each of the chapters that we cover. ___________________________________________________________________________ 12.1 : l - 35 odd, 41 - 44 all, 46, 49 12.2 : 1 - 51 odd, 52, 54 - 56 all 12.3 : 1 - 21 odd, 24 - 27 all, 39 - 44 all, 10, 20, 28 12.4 : 1 - 25 odd, 26, 27, 30, 33, 38 - 40 all 12.5 : 1 - 33 odd, 39 - 47 odd, 48 - 50 all [#9: Answer WRONG!] 12.6 : 1 - 35 odd, 39, 40, 41 - 47 odd, 50, 51 12.7 : 7 - 31 odd, 51 [Here, at least attempt the traces in the coordinate planes. Don't worry about the names.] 12.8 : 1 - 11 odd, 15 - 45 odd ___________________________________________________________________________ 13.1 : 1 - 4 all, 5 - 35 odd, 39 - 47 odd, 51 13.2 : 1 - 4 all, 5 - 15 odd, 19 - 45 odd, 51, 53, 56, 57, 58 13.3 : 1 - 31 odd, 32 - 38 even, 41, 42, 43 13.4 : 1 - 19 odd 13.5 : 1 - 4 all, 5 - 19 odd, 20, 21 - 33 odd, 57 13.6 : 1 - 4 all, 5 - 13 odd, 17, 19, 21, 25 - 45 odd, 55 - 61 odd, 73* 13.7 : None ___________________________________________________________________________ 14.1 : 1 - 9 odd, 13 - 23 odd, 25 - 33 all [Traces at least], 39, 41, 43 49 - 57 odd 14.2 : 1 - 12 all, 13 - 23 odd, 25(b)-(d), 27 - 32 all, 33 - 39 odd 14.3 : 1 - 6 all, 13 - 39 odd, 53 - 79 odd, 85 - 89 all, 101, 102 14.4 : 1 - 25 odd, 29 -37 odd, 41 - 51 odd, 61* 14.5 : 1 - 39 odd, 40, 41, 43, 57 - 63 odd, 69, 73, 74, 75 14.6 : 1 - 61 odd, 62, 71, 73, 75*, 76, 82*, 83*, 84* 14.7 : 1 - 29 odd 14.8 : 1 - 4 all, 5 - 19 odd, 23 - 26 all, 27 - 35 odd, 45*, 46*, 54, 55 14.9 : 5 - 17 odd, 30* ___________________________________________________________________________ 15.1 : 1 - 15 odd, 21 - 27 odd, 33, 34 15.2 : 1 - 25 odd, 29 - 41 odd, 45 - 55 odd, 60 15.3 : 1 - 15 odd, 23 - 35 odd, 41, 42, 45 15.4 : 1 - 5 all, 7 - 21 odd, 29 - 49 odd 15.5 : 1 - 11 odd, 15 - 23 odd, 32, 36, 37 15.6 : 1 - 4 all, 5, 7, 13, 15, 19, 29 15.7 : 1 - 4 all, 9 - 19 odd, 23, 35, 42 15.8 : 1 - 4 all, 5 - 21 odd, 27 - 35 odd, 40, 41, 46 ___________________________________________________________________________ 16.1 : 1 - 4 all, 5, 7, 13 - 23 odd, 27 - 38 all, 43*, 44*, 45*, 46* 16.2 : 1 - 4 all, 7 - 21 odd, 25 - 31 odd, 37 - 43 odd, 49* 16.3 : 1 - 19 odd, 25, 27, 30, 32 16.4 : 1 - 13 odd, 19, 21, 22, 23, 25, 33, 34 16.5 : 1 - 9 odd, 15, 31, 33 16.6 : 1 - 11 odd, 19, 23 16.7 : 1 - 9 odd, 29 -32 all, 23, 24 16.8 : 1 - 11 odd, 14