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'^2'\\n%   check mbx, no need to reference .tex\\n\\n\\n(13)  Typos:\\n(14)  \
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\\n(15)  1.1 p3 para4 L1: \\\"allow us _to_ explore\\\"\\n% already fixed in \
V3\\n\\n(16)  1.1 p5 example3 para1 L1: \\\"a table are given _in_ Figure\\\"\
\\n% fixed 10/23/17\\n% check mbx\\n\\n(17)  1.3 p22 para-2 L3: \\\"the only \
place _where_ work is necessary\\\"\\n% fixed 10/23/17  changed the wording \
of the paragraph along with added\\n% the word 'where'. \\n% check mbx  be \
sure to reference .tex\\n\\n(18)  1.3 p25 Example14 Solution para1 L-1: \
\\\"an-d- indeterminate form.\\\"\\n% fixed 10/23/17   removed 'd' from 'and'\
\\n% check mbx\\n\\n(19)  1.4 p33 para-2 L2: \\\"limits of f, as x approaches \
1, -is- _are_ 0\\\"\\n% fixed 10/23/17  changed the word 'is' to 'are' since \
it is plural\\n% check mbx\\n\\n(20)  2.1 Example39 sol'n p67 para2 L5: \
\\\"switches from one piece to _the_ other\\\"\\n% fixed 10/23/17   added the \
word 'the'\\n% check mbx\\n\\n(21)  2.4 Example52 para-1 L3: \\\"Each term-s-\
\\\"\\n% fixed 10/23/17   removed 's'\\n% check mbx\\n\\n(22)  3.1 p123 para1 \
L-2: \\\"we might want to know -how- the highest/lowest values\\\"\\n% fixed \
10/23/17   removed 'how'\\n% check mbx\\n(23)  3.1 p125 example79 L-2: \
\\\"_is_ the minimum value\\\"\\n% fixed 10/23/17   added 'is'\\n% check \
mbx\\n\\n(24)  3.3 p137 margin note: \\\"Theorem 29 _parts_1_and_2_\\\"\\n% \
fixed 10/23/17   changed sentence to 'Parts 1 \\\\& 2 of Theorem \\n% \
\\\\ref{thm:incr_decr} also hold if'\\n% check mbx\\n\\n(25)  4.3 p179 q2: \\\
\"extreme values of _a_ function\\\"\\n% fixed 10/23/17   added 'a', changed \
'have' to 'has'\\n% check mbx\\n\\n(26)  4.4 p185 para-1 L-1: \\\"Be_ing_ \
able to do so\\\"\\n% 10/23/17 added the 'ing' to being\\n% check \
mbx\\n\\n(27)  5.1 p194 L-2: \\\"there are infinite_ly_ _many_ \
derivatives\\\"\\n% 10/23/17  changed as suggested\\n% check mbx\\n\\n(28)  \
5.1 example 37 solution: extra ) shouldn't be there\\n% 10/23/17   fixed \
solution. The extra ')' was only\\n% part of the problem; the output was MMA \
and \\n% 'simplified' in a very non-intuitive way. Changed\\n% to form more \
suitable for students and the way they answer.\\n% Answer: $2x^4+\\\\cos x+\\\
\\frac{2^x}{(\\\\ln 2)^2}+(5-\\\\frac1{\\\\ln 2})x -1 - \\\\frac{1}{(\\\\ln \
2)^2}$\\n% check mbx; use above to replace answer\\n\\n(29)  5.2 p205 L1: \
\\\"geometry _to_ compute\\\"\\n% 10/23/17  added 'to'\\n% check \
mbx\\n\\n(30)  6.1 p259 example144 sol'n para1 L1: \\\"View this _as_ a \
composition of functions\\\"\\n% 10/23/17  changed to 'View the integrand as \
the composition...'\\n% check mbx\\n\\n(31)  12.2 limit definition add quotes \
(see my book)\\n\\n(32)  12.2 exercise 1 make 'point' plural\\n\\n(33)  7 \
p345 para-1 L-1: refers to Section 5.5.4\\n% Already fixed by 10/25/17\\n% \
look at mbx, I guess\\n\\n(34)  7.1 p346 para1 L2: ditto\\n% already fixed \
ditto above\\n% ditto\\n\\n(35)  7.5 p378 para-2 L2: \\\"go to zero give_s_ \
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p379 Example 219 para3 L2: \\\"The -the- mass of the rope still \
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7.5 p379 Example 219 para-1 L2: \\\"The rope weigh-t-s \[Ellipsis] so the \
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mbx\\n\\n(38)  7.5 example 223 para-1 L-3: extra (\\n% fixed 10/25/17   \
removed '(' from front of 6240\\n% check mbx\\n\\n(39)  7.5 example 225 sol'n \
para2 L3: \\\"represents a this slice of water with\\\" should be \
\\\"thin\\\"\\n% fixed 10/25/17   'this' to 'thin'\\n% check mbx\\n\\n(40)  \
file 08_02_ex_25.tex is missing a subscript\\n% fixed 10/25/17   make the \
first sequence '\\\\{a_n\\\\}', not '\\\\{a_\\\\}'\\n% check mbx\\n\\n(41)  \
file 11_02_ex_18.tex has a double comma\\n% fixed 10/25/17  remove extra ',' \
from problem statement\\n% check mbx\\n\\n(42)  12.3 p693 example404 L3 has \
an extra (\\n% fixed 10/25/17  removed '(' at beginning of numerator\\n% \
check mbx\\n\\n(43)  13.6 p800 Thm125 #2 L1 There should be a 1 in the \
subscript\\n% fixed 10/25/17  made 'g_1(x)'\\n% check mbx\\n\\n\\n(44)  Math \
Errors:\\n(45)  2.6 Figure 2.23: figimplicit6BW.pdf is missing the third \
tangent line which figimplicit6.pdf has\\n% fixed 10/26/17   for some reason \
third line was a repeat of second.\\n%  made third equation '{-1+0.5*x}'. \
\\n% check mbx -  not sure how those images are generated.\\n\\n(46)  5.2 \
p208 Exercise12: The other two exercises in this set use a positive number \
for an area under the x axis.\\n% fixed 10/26/17    changed the '-4' to '4' \
in fig_05_02_ex_12.tex\\n% check mbx - again, not sure how graphics are \
handled\\n\\n(47)  5.3 p212 Example119 Solution2: $\\\\sum a_i$ should be $\\\
\\sum 3a_i-4$\\n% already fixed by 10/26/17\\n% check mbx?\\n\\n(48)  In the \
calc 3 book eg. 405 #3 f_x is missing a 2x factor from using the chain \
rule.\\n% already fixed before John's email on 10/26/17\\n% mbx prob. ok ... \
but check\\n\\n(49)  Typos:\\n(50)  1.5 p43 Example25 \\\"Table 1.29\\\" \
should be \\\"Figure 1.29\\\"\\n% fixed 10/26/17  changed 'Table' to 'Figure'\
\\n% check mbx\\n\\n(51)  2.2 p102 Exercises 15-18: The instructions to \
02_02_exset_01.tex has a spare ) at the end.\\n% fixed 10/26/17   removed ')'\
\\n% check mbx\\n\\n(52)  2.6 p114 Example74 Sol'n Para-1 L-1: refers to the \
wrong figure\\n% fixed 10/26/17  reference should be for 'figimplicit10', not \
9\\n% check mbx\\n\\n(53)  3.2 p132 Theorem27 \\\"be continuous \
function\\\"\\n% fixed 10/26/17 added 'a' in between 'be' and \
'continuous'\\n% check mbx\\n\\n(54)  4.2 p168 Example99 para-2 L-2 \\\"If \
the circle dime\[Dash]sized\\\"\\n% fixed 10/26/17  changed to 'circle is \
dime...'\\n% check mbx\\n\\n(55)  7.2 p354 Figure7.10: \\\"Cutting a slice in \
they pyramid\\\"\\n% fixed 10/26/17 changed 'they' to 'the' in the caption of \
figcrossarea_1a\\n% check mbx\\n\\n(56)  7.5: Joule and J should be \
capitalized (many places)\\n% Revisit? Couldn't find cases of this. Only 7.6?\
\\n% check mbx\\n\\n(57)  7.5 p385 Example225 para-1 L-3: \\\"Notice how the \
emptying of the bottom\\\", emptying is misspelled\\n% Revisit? seems like \
'emptying' is the correct spelling ... \\n% check mbx\\n\\n(58)  Math \
typos:\\n(59)  1.5 p38 Example 22: The floor function \\\"returns the largest \
integer smaller than _or equal to_ the input\\\".\\n% fixed 10/26/17  now: \
'than, or equal to, '\\n% check mbx\\n\\n(60)  8.1 p399 Example 231 Solution \
#2 para2 L-2: Should begin \\\"That is: $2=1^2+1$\\\".  The exponent is \
currently 1, which is mathematically correct, but not in context.\\n% fixed \
10/26/17 changed '1^1' to '1^2'\\n% check mbx\\n\\n(61)  8.1 p401 Example 232 \
Solution #2: We do not have the ability to conclude the sequence diverges.  \
For the same reason, exercises 30 and 33 can't be done.\\n% fixed 10/26/17 \
added an argument for the truth that the sequence\\n% a_n = \\\\cos n does \
not converge. Will let this argument suffice as\\n% justification that \
exercises 30 and 33 can be answered. \\n% mbx will definitely have to be \
adjusted\\n\\n(62)  8.1 p405 Example 236 Solution para1: The inequalities \
should not be strict.\\n\\n(63)  Typos:\\n(64)  exercises/08_01_ex_25-30.tex \
are all missing a { before the answer, although this hasn't seemed to cause \
problems\\n\\n(65)  Math typos:\\n(66)  2.7 p119 para-2 L1 \\\"In Figure 2.33 \
we see\\\": $f^{-1}$ should have $(x)$.\\n(67)  3.1 p130 #14: The graph has \
\\\"1+\\\", the function $f(x)$ does not.\\n(68)  3.3 p137 between Thm29 & \
KI3: The IVT only applies if f' is continuous.  Instead, we need Darboux's \
Theorem (I had to look it up), which says that f' satisfies the conclusion of \
the IVT, even if it's not continuous.  We've gone with:\\n\\n(69)  Let $a$ \
and $b$ be in $I$ where $\\\\fp(a)>0$ and $\\\\fp(b)<0$. If $\\\\fp$ is \
continuous, then we can use the Intermediate Value Theorem. Even if $\\\\fp$ \
isn't continuous, an advanced theorem\\\\footnote{Darboux's Theorem} shows \
that $\\\\fp$ has the Intermediate Value property.  Either way, there must be \
some value $c$ between $a$ and $b$ where $\\\\fp(c) = 0$.  This leads us to \
the following method for finding intervals on which a function is increasing \
or decreasing.\\n\\n(70)  5.4 p239 #54 solution: Should have a \
negative.\\n(71)  6.7 p329 Example 192 Solution 1 L1: I don't see how Theorem \
3 relates.  Do you mean Theorem 5, part 3?\\n(72)  7.4 p373 para3 L3: the \
displayed equation should have $[f'(c_i)]^2$.\\n(73)  8.1 p401 Figure 8.2(a): \
a_n should be a function of n, not x.\\n(74)  8.3 p434 exercise 40 solution: \
diverges\\n(75)  8.7 p467 L1: In the displayed equation, $f^n$ should be \
$f^{(n)}$\\n(76)  same page, L-5: same thing\\n(77)  8.7 p471 para-2: In the \
displayed equation, $f^{(8)}$ should be $f^{(8)}(0)$\\n(78)  9.4 p529 Example \
301 solution para2 L1: P(0,2) should be P(2,0)\\n(79)  9.5 p539 L-1: The -1 \
should be -2.  The subsequent quadratic formula correctly uses -2.\\n(80)  \
9.5 p540: In the decimal approximations associated with $\\\\theta = \
\\\\sin^{-1} (\\\\frac{-1+\\\\sqrt {33}}{8})$, $0.6399$ should be $0.6349$ \
(this occurs twice) and $3.7815$ should be $2.5067$.\\n(81)  9.5 p544 Example \
309 solution: The 1/2 disappears two steps from the end.\\n(82)  11.3 p647 \
mnote: The units of acceleration are ft/s^2 and m/s^2.\\n(83)  12.4 # 14 \
solution: There's a $\\\\v$ that should just be $v$.\\n\\n(84)  I've noticed \
that you sometimes have a habit of starting your examples:\\n(85)  \
\\\\example{label}{Title}{\\n(86)  Problem statement. . .}\\n(87)  This \
causes there to be a space before the problem statement.  Which is really \
only noticeable once you're looking for it.\\n\\n(88)  Typos:\\n(89)  1.5 p48 \
para-2 L1: \\\"one can come up _with_ 0/0\\\".\\n(90)  1.6 p49 para1 L4: You \
refer to l'Hospital's rule.  Everywhere else, you spell it \
l'H\\\\^opital\\n(91)  2.4 p95 Exercises 42-45: These belong to 2.2 (or \
should be labeled review)\\n(92)  2.7 p120 Figure 2.31, Theorem 23: These \
look to be the only places where you put the argument to arc trig functions \
in parentheses.  Usually, you have $\\\\sin^{-1}x$ instead of \
$\\\\sin^{-1}(x)$.\\n(93)  4.4 p187 Exercise 38: \\\"Exercises 36\\\" should \
be singular.\\n(94)  6.1 p267 Theorem 46: \\\"Trigonomentric\\\" is \
misspelled.\\n(95)  6.7 p329 solution L1: \\\"This _is_ equivalent to a \
special limit given\\\"\\n(96)  7.2 p358 Figure 7.16: The label (b) is next \
to the bottom picture, not between the last two.\\n(97)  7.4 p369 para-2 L3: \
\\\"segment as the-y- hypotenuse\\\"\\n(98)  8.1 p398 Example 230 solution 3: \
the pattern of signs opens a quotation that never closes\\n(99)  9.2 p506 \
between Examples 285 & 286: \\\"chose\\\" should be \\\"choose\\\"\\n(100)  \
9.4 p529 Example 301 solution para1 L2: \\\"we often choose\\\" should be \
\\\"chose\\\" (or \\\"added\\\" should be \\\"add\\\")\\n(101)  9.4 p532 \
para2 L3: \\\"a shape important _to_ the sensitivity of \
microphones\\\"\\n(102)  9.5 p538 para3 L1: \\\"We are interested in the \
lines tangent _to_ a given graph\\\"\\n(103)  9.4 & 9.5: \\\"cardiod\\\" \
should be \\\"cardioid\\\" (2 times in 9.4, 4 times in 9.5, 3 times in 9.5's \
exercises)\\n(104)  9.5: \\\"cardiord\\\" should be \\\"cardioid\\\"\\n(105)  \
9.5 p541 \\\"Area\\\" para1 L2: \\\"horzontal\\\" should be \
\\\"horizontal\\\"\\n(106)  10.1 p558 para3 L3: \\\"coeffiecients\\\" should \
be \\\"coefficients\\\"\\n(107)  10.6 p615 para1 L4: The paragraph doesn't \
end with a period.\\n(108)  12.4 p711 para2 L3: \\\"enounter\\\" should be \\\
\"encounter\\\" (which it is in the next paragraph; don't let that mislead \
you)\\n(109)  12.7 p730 para3 L1: \\\"In Figures 12.20\\\" should be singular\
\\n(110)  Back of book, p-6, Integration Rules #5: $n\\\\neq -1$ is in there \
twice.\\n\\n(111)  p190 5.1 Theorem 34 only holds on an interval.  Similarly, \
the paragraph after should end ``Using Definition 19, we can say that on an \
interval''.\\n(112)  p414 8.2 Theorem 60: part 1 is only true if $r\\\\neq \
1$.\\n(113)  p487 8.8 Exercise 15: Equality at x=2 requires Abel's Theorem; \
equality on (0,1) requires the Cauchy form of the remainder.  (You currently \
have x^{n+1} move from a denominator to a numerator.\\n(114)  p487 8.8 \
Exercise 16: The problem asks for (-1,0).  The solution proves it for (0,1) \
with an incorrect equality.\\n(115)  p601 10.4 para3 L4&8: \
$\\\\sin(-15^\\\\circ)$ should be $(1-\\\\sqrt3)/(2\\\\sqrt2)$ (two times).  \
The cross product is correct.\\n(116)  10.4#26: The solution should be \
$3\\\\sqrt{30}$.\\n(117)  10.4#36: The solution should specify any _unit_ \
vector.\\n(118)  p634 11.2 Definition 72: Should probably include that \
$\\\\vec r'$ is continuous.\\n(119)  p636 11.2 Example 368 Soln Lines \
-5-(-9): Six $u$ should be $u'$\\n(120)  p647 11.3 L-2: The t in $\\\\vec C = \
v_0<\\\\cos t,\\\\sin t>$ should be $\\\\theta$.\\n(121)  p653 11.3#27: Both \
$t$s in $\\\\vec r_2(s)=\\\\langle 6t-6,4t-4\\\\rangle$ should be \
$s$.\\n(122)  p667 11.5 Example 386 L4: The $t$ in $\\\\vec r(s)=\\\\langle \
3t/5-1, 4t/5+2\\\\rangle$ should be $s$.\\n(123)  p676 12.1 Example 392 Soln \
L5: \\\"The above equation\\\" describes an ellipse and its interior.\\n(124) \
 p686 12.2 Example 400 L-1: \\\"2/0\\\" should be \\\"-2/0\\\" (which still \
doesn't exist).\\n(125)  p694 12.3 Example 405 Soln 3 L4: The first term is \
missing its $\\\\sqrt{x^2+1}$: $2xy^3e^{x^2y^3}\\\\sqrt{x^2+1}$.\\n(126)  \
p697 12.3 Example 407 Solution parts 1 & 2: In both, you have \
$f_{yx}=d/dx(f_x)$.\\n(127)  p723 12.6 para5: I believe \\\"the gradient is \
orthogonal to $\\\\vecr$ itself\\\" should be \\\"the gradient is orthogonal \
to the level curve\\\" (which gets repeated in the next sentence \
anyway).\\n(128)  p733 12.7 Example 429 L-2: ``The surface $z=-x^2+y^2$'' \
should be ``The surface $z=-x^2-y^2+2$''.\\n(129)  p736 12.7 Example 432 L-1: \
Ditto.\\n(130)  p743 12.8 Theorem 115: The conditions should be \\\"$P$ is a \
critical point and all second order derivatives of $f$ are continuous at \
$P$\\\" (and differentiability is obviously not enough).\\n(131)  p765 13.2 \
Example 451 1st displayed equ L3&4: The $-17/3$ should be $+17/3$ both times.\
\\n(132)  pA19 9.5#9a: you want $\\\\theta$, not $t$\\n(133)  pA20 10.1#13: \
The coordinates are allowed to be zero.\\n(134)  pA20 10.1#19: The solution \
should be $x^2+z^2=\\\\frac1{(1+y^2)^2}$.\\n(135)  pA21 10.2#7: The solution \
should be $4i-4j$.\\n(136)  pA26 12.2#17a: The solution should be \\\"Along \
y=mx, the limit is 0.\\\"\\n(137)  pA27 12.6#13b: The solution should be $-2/\
\\\\sqrt{5}$ ($\\\\vec u =\\\\bracket{-1/\\\\sqrt{5},-2/\\\\sqrt{5}}$) (two \
divisions are missing).\\n(138)  pA28 12.8#11: There are critical points when \
$x=0$ or $y=0$.  All are absolute minima.\\n(139)  pA28 12.8#17: The absolute \
maximum is at $(\\\\sqrt2,\\\\sqrt2,4+4\\\\sqrt2)$.\\n(140)  pA31 13.6#13: \
The last lower limit of integration in the last integral has been negated \
from the previous line.\\n\\n\\n(141)  Someone noticed (and has a pet peeve \
in general) that there are several places where you refer to a circle \
$x^2+y^2=r^2$, when you really mean the disk enclosed by that circle (usually \
when defining a two dimensional region of integration):\\n(142)  p772 13.3 \
Example 456 L2\\n(143)  p793 13.5 Example 471\\n(144)  p794 13.5 Example 472 \
L7\\n(145)  p796-797 13.5 Exercises 8, 13, 17-19\\n(146)  p805 13.6 Example \
477 (twice)\\n(147)  p818 13.6 Exercis 8\\n\\n\\n(148)  Typo:\\n(149)  p147 \
3.4 \\\"means finding the where\\\" should be \\\"means finding \
where\\\"\\n(150)  p176 4.3 Example 104 L1: \\\"an power station\\\" should \
be \\\"a power station\\\"\\n(151)  p323 6.6#40: \\\"multiply\\\" is missing \
its first L.\\n(152)  p599 10.4 para4 L2: \\\"face opposite face\\\" should \
be \\\"opposite face\\\".\\n(153)  p610 10.5 L-2: The vector $c$ is missing \
its arrow.\\n(154)  p611 10.5 Example 348 The solution begins \\\"The \
equation of the line line\\\"\\n(155)  p613-614 10.5 #29-31: Several vectors \
are missing arrows.  I counted 5 $\\\\ell$ and 1 $c$.\\n(156)  p621 10.6 \
#11-14&17: The text has been using vectors over $\\\\ell$ in this \
context.\\n(157)  p630 11.2 Definition 69 Line 4: The vector $r$ is missing \
its arrow.\\n(158)  p643 11.3 Example 372 Soln Para -1: \\\"the have the\\\" \
should be \\\"they have the\\\"; \\\"they have they have\\\" should be \
\\\"they have\\\".\\n(159)  p661 11.4 Example 383 solution para-2 L-3: \
accelerating is spelled \\\"acclerating\\\"\\n(160)  p733 12.7 para-1 L-5: \\\
\"it is _a_ general geometric concept\\\"\\n(161)  p740 12.8 Definition 99 #3 \
L-1: \\\"_an_ -a- absolute maximum\\\"\\n(162)  p748 12.8 para3 L3 (1st \
displayed equation): V(wl) should be V(w,l)\\n(163)  p762 13.2 para-2 L1: \
\\\"satisfying way of computing area\\\" should be \\\"volume\\\"\\n(164)  \
p790 13.4 Exercise 27-30: I_x is defined twice, I_y isn't.\\n(165)  p812 13.6 \
para2 L1: \\\"Let $h(x,y,z)$ _be_ a continuous\\\"\\n\\n(166)  A small list \
of typos as we prepare for the fall semester.\\n(167)  p179 4.3#4&5: These \
problems assume that the numbers are positive.\\n(168)  p443 8.5 Example 253 \
Solution Part 3 Line 1: |sin n|/n should be {|sin n|/n^2}.\\n(169)  p644 11.3 \
Example 372 Solution Paragraph 5&6: The intervals are \
1/5\\\\textsuperscript{th} of a second apart; the ``large change in \
position'' is from $t=-1$ to $t=-0.8$, not $t=-1$ to $t=-0.9$.\\n(170)  p670 \
11.5 Example 389: \\\"explictly\\\" is misspelled.\\n(171)  p794 13.5 Example \
472 Sol'n line 2: $f_y=$ is missing.\\n(172)  pA30 13.5#19 Sol'n: The last dy \
should be d\\\\theta\\n\\n(173)  Message: page 179, exercise 10, last \
sentence.    \\n(174)  Currently reads:\\n(175)  \\\"Does it seem these \
dimensions where chosen with ...\\\"\\n(176)  Should read:\\n(177)  \\\"Does \
it seem these dimensions were chosen with ...\\\"\\n\\n(178)  Message: On \
page 371 of Calculus II Version 3.0, in example 213 after solving the \
integral it reads 24/39 (for the constant) but it should read 8/27 just as \
the last statement when calculating the result   My response: it is actually \
2/3 * 4/9; look at typesetting.\\n\\n\\n(179)  10.2, Problem 21: Hey there, I \
think the answer is incorrectly reported. it should be 1/sqrt(58)*<3,7>, not \
1/sqrt(30)<3,7>\\n\\n(180)  Message: On page 481 near the top of the page in \
Example 270, I think the second to last step should have (k-n)/(n+1), not \
(k-n)/n.\\n\\n(181)  Message: From section 8.1, problem 7, the answers should \
all be negative (they are listed as positive) (page A.6).\\n\\n(182)  On page \
469 Theorem 76 part 2, it would be helpful to state that the maximum is over \
z\\\\in I.\\n\\n(183)  On page 480 in Example 270, the Maclaurin series given \
is missing the x terms. (e.g. it says 1 + k + k(k-1)/2!+..., but should be \
1+k x+k(k-1)/2! x^2+...\\n\\n(184)  Message: On page 344 exercise 41, the \
solution compares the function to itself to determine that it diverges, so it \
seems like either the problem or solution is incorrect. I compared it to \
x/(x^2+1) (changing the solution).\\n\\n(185)  Message: On page 172, question \
13 in section 4.2. I disagree with the answer for c (and even the idea that c \
is possible). From d, the man must walk 34.1 feet to raise the weight all the \
way to the top of the pulley. Therefore in c it is NOT POSSIBLE to consider \
what happens when the man has walked 40 feet . If he keeps walking past 34.1 \
feet, the weight goes through the pulley and falls to the ground and our \
equation is no longer valid. The answer of 1.87 given in the back agrees with \
what the equation gives us, but when x = 40, I get y = 35.44 (so weight has \
risen beyond the height of the pulley-another way to see this isn't \
possible).\\n\\n(186)  Theorem 59 in 8.1: only need part 1.\\n\\n(187)  In \
Section 5.3, Key Idea 8 \\\"The Midpoint Rule summation\\\", the subscript on \
the summand is {x+1} where it should be {i+1}.\\n\\n(188)  pg 280 ex 164 the \
1/2 gets dropped\\n\\n(189)  Dot product: formula should highlight role of \
unit vectors    also for orthog projection\\n\\n(190)  Chapter 6.1 problem 33 \
 answer is correct, though perhaps not intuitive. By hand: (3/2)*(ln \
x)^2+C.\\n\\n(191)  3.3 Increasing/decreaising: Answers in back use unions; \
shouldn't. Just be a list of sets.\\n\\n(192)  Can you check 5.2#25 answer? \
Also in that exercise set maybe for 21 and 25 can you put \\\"find non-zero a \
and b\\\"\\n\\n(193)  Message: Page 280. The solution to example 164 should \
have a 1/2 in front of the ln(1+x^2)\\n\\n(194)  Message: The tangent line in \
example 45 has the form y = 3(x-3)+4. If I were writing this, I would have \
avoided having 3 be the slope and 3 be the x-coordinate of the point of \
tangency at the same time. If the numbers are different, students will have \
an easier time discerning what role each number fulfills. I would suggest \
choosing another point, such as x=1 where f(1) = -2 and f ' (1) = -1, for the \
point of tangency.\\n\\n(195)  Subject: Figure 2.13   Message: The caption \
should say something like, \\\"Zooming in on f and its tangent line at x=3.\\\
\" As written, the tangent line is not mentioned in the caption, but it \
appears in the figure.\\n\\n(196)  Subject: Theorem 10 again  Message: In the \
statement of theorem 10 (the Intermediate Value Theorem), it would be nice to \
say \\\"there exists at least one value c\\\" instead of \\\"there is a value \
c\\\". The same goes for the paragraphs that immediately follow Theorem 10 -- \
there may be multiple roots in the interval [a,b].c    Message: In the \
statement of the theorem, f(a) < y < f(b) can be replaced by f(a) <= y <= \
f(b) since you're asserting there exists a value c in [a,b] such that f(c) = \
y. You could also pair f(a) < y < f(b) with the existence of c in \
(a,b).\\n\\n(197)  Figure 1.5   Message: This figure should have a hole in \
the graph when x=3.\\n\\n(198)  Message: Example 16 solution, second to last \
line: the reference should be theorem 2, not theorem 3.\\n\\n(199)  Message: \
The first sentence in the solution for example 14 refers to Theorem 3, but it \
should refer to Theorem 2\\n\\n(200)  Message: Figure 1.2 should have a hole \
in the graph at the point (0,1), so that it is consistent with the graphs in \
Figures 1.8 and 1.9.\\n\\n(201)  Message: \\\"epsilon-delta\\\" and \
\\\"$\\\\epsilon$-$\\\\delta$\\\" could be misinterpreted as epsilon minus \
delta. I would recommend \\\"epsilon and delta\\\" and \\\"$\\\\epsilon$ and \
$\\\\delta$\\\" as replacements.       \\n(202)  It would be nice the \
textbook would mention that the name \\\"epsilon\\\" is for error (both start \
with the letter \\\"e\\\") and \\\"delta\\\" is for difference or deviation \
(both start with the letter \\\"d\\\").       \\n(203)  In example 6, a brief \
discussion about why we choose delta <= 1.75 would be enlightening. Choosing \
delta to be the minimum of two numbers will seem arbitrary without any \
explanation.\\n\\n(204)  Message: Section 1.1, page 4: The statement, \
\\\"There are three ways in which a limit may fail to exist,\\\" implies that \
there are only three ways in which a limit may fail to exist, which is not \
entirely true. For instance, the two-sided limit of sqrt(x) as x approaches 0 \
fails to exist, but is not covered by the three cases in this list. \\\"Three \
common ways in which a limit may fail to exist,\\\" would be a more accurate \
statement. Also,   \\n(205)  \\\"3. The function may oscillate as x \
approaches c,\\\" is not precise enough. For instance, the function sin(x) \
oscillates as x approaches 0, but it has a limit. Similarly, cos(1/x) / x \
oscillates with increasing frequency as x approaches 0, yet the limit exists \
because we can apply the squeeze theorem. The limit will fail to exist for an \
oscillating function when the values do not approach a single limiting value.\
\\n\\n(206)  Subject: question on page 539 example 305     answer should be \
``-2'' not ``-1''.\\n\\n(207)  Message: Chapter 8.5, Example 254, solution to \
part 1: \\\"We want to find where 1/n^3 < 0.001: 1/n^3 <= 0.001\\\" As you \
can see, the inequality changed from < to <= mid-sentence.\\n\\n(208)  \
Subject: Theorem 64, page 422\\n(209)  Message: In the theorem about the \
infinite nature of series, the first sentence \\\"The convergence or \
divergence remains unchanged by...\\\" implies but does not explicitly \
mention that the sentence is about series. I would recommend something like, \
\\\"Whether a series is convergent or divergent remains unchanged \
by...\\\"\\n\\n(210)  Message: On page 417, it says \\\"Informally, a \
telescoping series is one in which the partial sums reduce to just a finite \
number of terms.\\\" This statement is essentially meaningless because every \
partial sum contains finitely many terms. I would recommend replacing \
\\\"reduce to just a finite number of terms\\\" by \\\"can be reduced by \
cancellation to have fewer terms\\\" or something similar.\\n\\n(211)  \
Definition 29 on page 404 should say \\\"...bounded if there exist real \
numbers\\\" not \\\"...bounded if there exists real numbers\\\".\\n\\n(212)  \
Also, in sections 8.2 - 8.5, there are plots of a sequence of terms a_n and a \
sequence of partial sums S_n on the same axes. The only thing distinguishing \
these two sequences is color, which means that in a grayscale print copy of \
the book it is not possible to distinguish the sequences from each other. I \
would recommend using different kinds of plot markers (filled dot and open \
dot, filled dot and x, or filled dot and filled triangle are commonly used) \
to distinguish between the two sequences. This will also help readers who are \
colorblind.\\n\\n(213)   #33d on page 70. The answer in the back has [-5,5] \
where as it should be [-sqrt(5),sqrt(5)]. Just relaying the \
information.\\n\\n(214)   Figure 8.2.a     Message: In the formula a_n = \
(3x^2-2x+1) / (x^2-1000) in this figure, the right side is not an expression \
in the variable n.\\n\\n(215)  I just noticed, mid lecture, that Theorem 1.9  \
is not actually true unless one of two conditions are met.  For instance, it \
fails when g(x) is not continuous at L and f(x) = L is the constant function. \
       We can fix it by adding one of two constraints:\\n(216)  1) $f(x) \
\\\\neq L$ when x is near c, or \\n(217)  2) g(L)=K \\n(218)  See email for \
my response/ideas. May be solved with PCC group already\\n\\n(219)  Subject: \
error on page 620      I believe there is an error in the solution to example \
355. The z-component of the normal vector should be positive 6, not negative \
six.\\n\\n(220)  The answer for Section 1.4, 6f should say:\\n(221)  As f is \
not defined for x > 2, this limit is not defined.\\n\\n(222)  Page 37 has a \
grammatical error.  The sentence should say:\\n(223)  We have seen, though, \
that this is not necessarily a good indicator\\n(224)  of what f(x) actually \
is.\\n\\n(225)  Error on page 200\\n(226)  Message: The sentence \\n(227)  \\\
\"Finally, we find the total signed area under the velocity function from t=0 \
to t=2 to find the s(2), the height at t=2, which is a displacement, the \
distance from the current position to the starting position\\\"       is an \
awkward, unclear, run-on sentence. Something like        \\n(228)  \
\\\"Finally, to find the height of the object at time t=2 we calculate the \
total signed area under the velocity function from t=0 to t=2. This signed \
area is equal to s(2), the displacement (i.e., signed distance) from the \
starting position at t=0 to the position at time t=2.\\\"\\n(229)  would be \
an improvement. Note that in the proposed revision, it is emphasized that \
displacement is a signed distance.\\n\\n(230)  Message: Page 319\\n(231)  \
Section 6.6 Hyperbolic Functions\\n(232)  Key Idea 19\\n(233)  Item #3     \
The factor in front of ln should be 1/(2a)\\n\\n(234)  Subject: error on p. \
624\\n(235)  Message: I and my students are liking using APEX Calculus 3.0 \
for Multivariable Calculus at Alverno College.\\n(236)  There appears to be \
an error in Figure 11.3 on p. 624. The figure claims to be showing the graph \
of a vector valued function defined in Example 357, and \\\"its derivative at \
one point.\\\" In fact, the derivative has not yet been defined, and what is \
being shown is the vector at a point.\\n\\n(237)  One typo in Version 3 - \
page 416, Example 239, 5, the index of the series should probably start at 11 \
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