diff options
| -rw-r--r-- | 33283-pdf.pdf | bin | 1296741 -> 1298365 bytes | |||
| -rw-r--r-- | 33283-t/33283-t.tex | 259 |
2 files changed, 129 insertions, 130 deletions
diff --git a/33283-pdf.pdf b/33283-pdf.pdf Binary files differindex ebef8fc..cf81f9c 100644 --- a/33283-pdf.pdf +++ b/33283-pdf.pdf diff --git a/33283-t/33283-t.tex b/33283-t/33283-t.tex index f3a3586..7a7e6fd 100644 --- a/33283-t/33283-t.tex +++ b/33283-t/33283-t.tex @@ -877,7 +877,7 @@ Title: Calculus Made Easy Author: Silvanus Thompson
Release Date: October 9, 2012 [eBook #33283]
-Most recently updated: August 10, 2025
+Most recently updated: April 25, 2026
Language: English
@@ -6480,7 +6480,7 @@ of the expression $u=at^2+2\log_\epsilon t$. \Item{(4)} Show that if $y=\dfrac{1}{b}·\dfrac{a^{bx}}{\log_\epsilon a}$,\quad $\dfrac{dy}{dx}=a^{bx}$.
-\Item{(5)} If $w=pv^n$, find $\dfrac{dw}{dv}$.
+\Item{(5)} If $w=pn^v$, find $\dfrac{dw}{dv}$.
\end{Problems}
\DPPageSep{166.png}{154}%
@@ -10898,20 +10898,19 @@ F.R.S.E\@. 14s.\ net.} \begin{PGtext}
*** END OF THE PROJECT GUTENBERG EBOOK CALCULUS MADE EASY ***
-***** This file should be named 33283-pdf.pdf or 33283-pdf.zip *****
-This and all associated files of various formats will be found in:
- https://www.gutenberg.org/3/3/2/8/33283/
-Updated editions will replace the previous one--the old editions will
+
+
+Updated editions will replace the previous one—the old editions will
be renamed.
Creating the works from print editions not protected by U.S. copyright
law means that no one owns a United States copyright in these works,
-so the Foundation (and you!) can copy and distribute it in the
-United States without permission and without paying copyright
+so the Foundation (and you!) can copy and distribute it in the United
+States without permission and without paying copyright
royalties. Special rules, set forth in the General Terms of Use part
of this license, apply to copying and distributing Project
-Gutenberg-tm electronic works to protect the PROJECT GUTENBERG-tm
+Gutenberg™ electronic works to protect the PROJECT GUTENBERG™
concept and trademark. Project Gutenberg is a registered trademark,
and may not be used if you charge for an eBook, except by following
the terms of the trademark license, including paying royalties for use
@@ -10919,63 +10918,64 @@ of the Project Gutenberg trademark. If you do not charge anything for copies of this eBook, complying with the trademark license is very
easy. You may use this eBook for nearly any purpose such as creation
of derivative works, reports, performances and research. Project
-Gutenberg eBooks may be modified and printed and given away--you may
+Gutenberg eBooks may be modified and printed and given away—you may
do practically ANYTHING in the United States with eBooks not protected
by U.S. copyright law. Redistribution is subject to the trademark
license, especially commercial redistribution.
+
START: FULL LICENSE
-THE FULL PROJECT GUTENBERG LICENSE
+THE FULL PROJECT GUTENBERG™ LICENSE
+
PLEASE READ THIS BEFORE YOU DISTRIBUTE OR USE THIS WORK
-To protect the Project Gutenberg-tm mission of promoting the free
+To protect the Project Gutenberg™ mission of promoting the free
distribution of electronic works, by using or distributing this work
-(or any other work associated in any way with the phrase `Project
-Gutenberg'), you agree to comply with all the terms of the Full
-Project Gutenberg-tm License available with this file or online at
+(or any other work associated in any way with the phrase “Project
+Gutenberg”), you agree to comply with all the terms of the Full
+Project Gutenberg License available with this file or online at
www.gutenberg.org/license.
-Section 1. General Terms of Use and Redistributing Project
-Gutenberg-tm electronic works
+Section 1. General Terms of Use and Redistributing Project Gutenberg
+electronic works
-1.A. By reading or using any part of this Project Gutenberg-tm
+1.A. By reading or using any part of this Project Gutenberg
electronic work, you indicate that you have read, understand, agree to
and accept all the terms of this license and intellectual property
(trademark/copyright) agreement. If you do not agree to abide by all
the terms of this agreement, you must cease using and return or
-destroy all copies of Project Gutenberg-tm electronic works in your
+destroy all copies of Project Gutenberg electronic works in your
possession. If you paid a fee for obtaining a copy of or access to a
-Project Gutenberg-tm electronic work and you do not agree to be bound
-by the terms of this agreement, you may obtain a refund from the
-person or entity to whom you paid the fee as set forth in paragraph
-1.E.8.
+Project Gutenberg electronic work and you do not agree to be bound
+by the terms of this agreement, you may obtain a refund from the person
+or entity to whom you paid the fee as set forth in paragraph 1.E.8.
-1.B. `Project Gutenberg' is a registered trademark. It may only be
+1.B. “Project Gutenberg” is a registered trademark. It may only be
used on or associated in any way with an electronic work by people who
agree to be bound by the terms of this agreement. There are a few
-things that you can do with most Project Gutenberg-tm electronic works
+things that you can do with most Project Gutenberg electronic works
even without complying with the full terms of this agreement. See
paragraph 1.C below. There are a lot of things you can do with Project
-Gutenberg-tm electronic works if you follow the terms of this
-agreement and help preserve free future access to Project Gutenberg-tm
+Gutenberg electronic works if you follow the terms of this
+agreement and help preserve free future access to Project Gutenberg
electronic works. See paragraph 1.E below.
-1.C. The Project Gutenberg Literary Archive Foundation (`the
-Foundation' or PGLAF), owns a compilation copyright in the collection
-of Project Gutenberg-tm electronic works. Nearly all the individual
+1.C. The Project Gutenberg Literary Archive Foundation (“the
+Foundation” or PGLAF), owns a compilation copyright in the collection
+of Project Gutenberg electronic works. Nearly all the individual
works in the collection are in the public domain in the United
States. If an individual work is unprotected by copyright law in the
United States and you are located in the United States, we do not
claim a right to prevent you from copying, distributing, performing,
displaying or creating derivative works based on the work as long as
all references to Project Gutenberg are removed. Of course, we hope
-that you will support the Project Gutenberg-tm mission of promoting
-free access to electronic works by freely sharing Project Gutenberg-tm
+that you will support the Project Gutenberg mission of promoting
+free access to electronic works by freely sharing Project Gutenberg
works in compliance with the terms of this agreement for keeping the
-Project Gutenberg-tm name associated with the work. You can easily
+Project Gutenberg name associated with the work. You can easily
comply with the terms of this agreement by keeping this work in the
-same format with its attached full Project Gutenberg-tm License when
+same format with its attached full Project Gutenberg License when
you share it without charge with others.
1.D. The copyright laws of the place where you are located also govern
@@ -10984,110 +10984,111 @@ in a constant state of change. If you are outside the United States, check the laws of your country in addition to the terms of this
agreement before downloading, copying, displaying, performing,
distributing or creating derivative works based on this work or any
-other Project Gutenberg-tm work. The Foundation makes no
+other Project Gutenberg work. The Foundation makes no
representations concerning the copyright status of any work in any
country other than the United States.
1.E. Unless you have removed all references to Project Gutenberg:
1.E.1. The following sentence, with active links to, or other
-immediate access to, the full Project Gutenberg-tm License must appear
-prominently whenever any copy of a Project Gutenberg-tm work (any work
-on which the phrase `Project Gutenberg' appears, or with which the
-phrase `Project Gutenberg' is associated) is accessed, displayed,
+immediate access to, the full Project Gutenberg License must appear
+prominently whenever any copy of a Project Gutenberg work (any work
+on which the phrase “Project Gutenberg” appears, or with which the
+phrase “Project Gutenberg” is associated) is accessed, displayed,
performed, viewed, copied or distributed:
- This eBook is for the use of anyone anywhere in the United States and
- most other parts of the world at no cost and with almost no
- restrictions whatsoever. You may copy it, give it away or re-use it
- under the terms of the Project Gutenberg License included with this
- eBook or online at www.gutenberg.org. If you are not located in the
- United States, you will have to check the laws of the country where
- you are located before using this eBook.
-
-1.E.2. If an individual Project Gutenberg-tm electronic work is
+ This eBook is for the use of anyone anywhere in the United States and most
+ other parts of the world at no cost and with almost no restrictions
+ whatsoever. You may copy it, give it away or re-use it under the terms
+ of the Project Gutenberg™ License included with this eBook or online
+ at www.gutenberg.org. If you
+ are not located in the United States, you will have to check the laws
+ of the country where you are located before using this eBook.
+
+1.E.2. If an individual Project Gutenberg electronic work is
derived from texts not protected by U.S. copyright law (does not
contain a notice indicating that it is posted with permission of the
copyright holder), the work can be copied and distributed to anyone in
the United States without paying any fees or charges. If you are
-redistributing or providing access to a work with the phrase `Project
-Gutenberg' associated with or appearing on the work, you must comply
+redistributing or providing access to a work with the phrase “Project
+Gutenberg” associated with or appearing on the work, you must comply
either with the requirements of paragraphs 1.E.1 through 1.E.7 or
-obtain permission for the use of the work and the Project Gutenberg-tm
+obtain permission for the use of the work and the Project Gutenberg
trademark as set forth in paragraphs 1.E.8 or 1.E.9.
-1.E.3. If an individual Project Gutenberg-tm electronic work is posted
+1.E.3. If an individual Project Gutenberg electronic work is posted
with the permission of the copyright holder, your use and distribution
must comply with both paragraphs 1.E.1 through 1.E.7 and any
additional terms imposed by the copyright holder. Additional terms
-will be linked to the Project Gutenberg-tm License for all works
+will be linked to the Project Gutenberg License for all works
posted with the permission of the copyright holder found at the
beginning of this work.
-1.E.4. Do not unlink or detach or remove the full Project Gutenberg-tm
+1.E.4. Do not unlink or detach or remove the full Project Gutenberg
License terms from this work, or any files containing a part of this
-work or any other work associated with Project Gutenberg-tm.
+work or any other work associated with Project Gutenberg.
1.E.5. Do not copy, display, perform, distribute or redistribute this
electronic work, or any part of this electronic work, without
prominently displaying the sentence set forth in paragraph 1.E.1 with
active links or immediate access to the full terms of the Project
-Gutenberg-tm License.
+Gutenberg License.
1.E.6. You may convert to and distribute this work in any binary,
compressed, marked up, nonproprietary or proprietary form, including
any word processing or hypertext form. However, if you provide access
-to or distribute copies of a Project Gutenberg-tm work in a format
-other than `Plain Vanilla ASCII' or other format used in the official
-version posted on the official Project Gutenberg-tm website
+to or distribute copies of a Project Gutenberg work in a format
+other than “Plain Vanilla ASCII” or other format used in the official
+version posted on the official Project Gutenberg website
(www.gutenberg.org), you must, at no additional cost, fee or expense
to the user, provide a copy, a means of exporting a copy, or a means
-of obtaining a copy upon request, of the work in its original `Plain
-Vanilla ASCII' or other form. Any alternate format must include the
-full Project Gutenberg-tm License as specified in paragraph 1.E.1.
+of obtaining a copy upon request, of the work in its original “Plain
+Vanilla ASCII” or other form. Any alternate format must include the
+full Project Gutenberg License as specified in paragraph 1.E.1.
1.E.7. Do not charge a fee for access to, viewing, displaying,
-performing, copying or distributing any Project Gutenberg-tm works
+performing, copying or distributing any Project Gutenberg works
unless you comply with paragraph 1.E.8 or 1.E.9.
1.E.8. You may charge a reasonable fee for copies of or providing
-access to or distributing Project Gutenberg-tm electronic works
+access to or distributing Project Gutenberg electronic works
provided that:
-* You pay a royalty fee of 20% of the gross profits you derive from
- the use of Project Gutenberg-tm works calculated using the method
- you already use to calculate your applicable taxes. The fee is owed
- to the owner of the Project Gutenberg-tm trademark, but he has
- agreed to donate royalties under this paragraph to the Project
- Gutenberg Literary Archive Foundation. Royalty payments must be paid
- within 60 days following each date on which you prepare (or are
- legally required to prepare) your periodic tax returns. Royalty
- payments should be clearly marked as such and sent to the Project
- Gutenberg Literary Archive Foundation at the address specified in
- Section 4, `Information about donations to the Project Gutenberg
- Literary Archive Foundation.'
-
-* You provide a full refund of any money paid by a user who notifies
- you in writing (or by email) within 30 days of receipt that s/he
- does not agree to the terms of the full Project Gutenberg-tm
- License. You must require such a user to return or destroy all
- copies of the works possessed in a physical medium and discontinue
- all use of and all access to other copies of Project Gutenberg-tm
- works.
-
-* You provide, in accordance with paragraph 1.F.3, a full refund of
- any money paid for a work or a replacement copy, if a defect in the
- electronic work is discovered and reported to you within 90 days of
- receipt of the work.
-
-* You comply with all other terms of this agreement for free
- distribution of Project Gutenberg-tm works.
+ • You pay a royalty fee of 20% of the gross profits you derive from
+ the use of Project Gutenberg works calculated using the method
+ you already use to calculate your applicable taxes. The fee is owed
+ to the owner of the Project Gutenberg trademark, but he has
+ agreed to donate royalties under this paragraph to the Project
+ Gutenberg Literary Archive Foundation. Royalty payments must be paid
+ within 60 days following each date on which you prepare (or are
+ legally required to prepare) your periodic tax returns. Royalty
+ payments should be clearly marked as such and sent to the Project
+ Gutenberg Literary Archive Foundation at the address specified in
+ Section 4, “Information about donations to the Project Gutenberg
+ Literary Archive Foundation.”
+
+ • You provide a full refund of any money paid by a user who notifies
+ you in writing (or by e-mail) within 30 days of receipt that s/he
+ does not agree to the terms of the full Project Gutenberg™
+ License. You must require such a user to return or destroy all
+ copies of the works possessed in a physical medium and discontinue
+ all use of and all access to other copies of Project Gutenberg™
+ works.
+
+ • You provide, in accordance with paragraph 1.F.3, a full refund of
+ any money paid for a work or a replacement copy, if a defect in the
+ electronic work is discovered and reported to you within 90 days of
+ receipt of the work.
+
+ • You comply with all other terms of this agreement for free
+ distribution of Project Gutenberg™ works.
+
1.E.9. If you wish to charge a fee or distribute a Project
-Gutenberg-tm electronic work or group of works on different terms than
+Gutenberg™ electronic work or group of works on different terms than
are set forth in this agreement, you must obtain permission in writing
from the Project Gutenberg Literary Archive Foundation, the manager of
-the Project Gutenberg-tm trademark. Contact the Foundation as set
+the Project Gutenberg™ trademark. Contact the Foundation as set
forth in Section 3 below.
1.F.
@@ -11095,19 +11096,19 @@ forth in Section 3 below. 1.F.1. Project Gutenberg volunteers and employees expend considerable
effort to identify, do copyright research on, transcribe and proofread
works not protected by U.S. copyright law in creating the Project
-Gutenberg-tm collection. Despite these efforts, Project Gutenberg-tm
+Gutenberg™ collection. Despite these efforts, Project Gutenberg™
electronic works, and the medium on which they may be stored, may
-contain `Defects,' such as, but not limited to, incomplete, inaccurate
+contain “Defects,” such as, but not limited to, incomplete, inaccurate
or corrupt data, transcription errors, a copyright or other
intellectual property infringement, a defective or damaged disk or
other medium, a computer virus, or computer codes that damage or
cannot be read by your equipment.
-1.F.2. LIMITED WARRANTY, DISCLAIMER OF DAMAGES - Except for the `Right
-of Replacement or Refund' described in paragraph 1.F.3, the Project
+1.F.2. LIMITED WARRANTY, DISCLAIMER OF DAMAGES - Except for the “Right
+of Replacement or Refund” described in paragraph 1.F.3, the Project
Gutenberg Literary Archive Foundation, the owner of the Project
-Gutenberg-tm trademark, and any other party distributing a Project
-Gutenberg-tm electronic work under this agreement, disclaim all
+Gutenberg™ trademark, and any other party distributing a Project
+Gutenberg™ electronic work under this agreement, disclaim all
liability to you for damages, costs and expenses, including legal
fees. YOU AGREE THAT YOU HAVE NO REMEDIES FOR NEGLIGENCE, STRICT
LIABILITY, BREACH OF WARRANTY OR BREACH OF CONTRACT EXCEPT THOSE
@@ -11131,7 +11132,7 @@ the second copy is also defective, you may demand a refund in writing without further opportunities to fix the problem.
1.F.4. Except for the limited right of replacement or refund set forth
-in paragraph 1.F.3, this work is provided to you--`AS-IS', WITH NO
+in paragraph 1.F.3, this work is provided to you ‘AS-IS’, WITH NO
OTHER WARRANTIES OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT
LIMITED TO WARRANTIES OF MERCHANTABILITY OR FITNESS FOR ANY PURPOSE.
@@ -11146,56 +11147,54 @@ remaining provisions. 1.F.6. INDEMNITY - You agree to indemnify and hold the Foundation, the
trademark owner, any agent or employee of the Foundation, anyone
-providing copies of Project Gutenberg-tm electronic works in
+providing copies of Project Gutenberg™ electronic works in
accordance with this agreement, and any volunteers associated with the
-production, promotion and distribution of Project Gutenberg-tm
+production, promotion and distribution of Project Gutenberg™
electronic works, harmless from all liability, costs and expenses,
including legal fees, that arise directly or indirectly from any of
the following which you do or cause to occur: (a) distribution of this
-or any Project Gutenberg-tm work, (b) alteration, modification, or
-additions or deletions to any Project Gutenberg-tm work, and (c) any
+or any Project Gutenberg work, (b) alteration, modification, or
+additions or deletions to any Project Gutenberg work, and (c) any
Defect you cause.
-Section 2. Information about the Mission of Project Gutenberg-tm
+Section 2. Information about the Mission of Project Gutenberg
-Project Gutenberg-tm is synonymous with the free distribution of
+Project Gutenberg is synonymous with the free distribution of
electronic works in formats readable by the widest variety of
computers including obsolete, old, middle-aged and new computers. It
exists because of the efforts of hundreds of volunteers and donations
from people in all walks of life.
Volunteers and financial support to provide volunteers with the
-assistance they need are critical to reaching Project Gutenberg-tm's
-goals and ensuring that the Project Gutenberg-tm collection will
+assistance they need are critical to reaching Project Gutenberg’s
+goals and ensuring that the Project Gutenberg collection will
remain freely available for generations to come. In 2001, the Project
Gutenberg Literary Archive Foundation was created to provide a secure
-and permanent future for Project Gutenberg-tm and future
+and permanent future for Project Gutenberg and future
generations. To learn more about the Project Gutenberg Literary
Archive Foundation and how your efforts and donations can help, see
-Sections 3 and 4 and the Foundation information page at
-www.gutenberg.org
+Sections 3 and 4 and the Foundation information page at www.gutenberg.org.
-Section 3. Information about the Project Gutenberg Literary
-Archive Foundation
+Section 3. Information about the Project Gutenberg Literary Archive Foundation
The Project Gutenberg Literary Archive Foundation is a non-profit
501(c)(3) educational corporation organized under the laws of the
state of Mississippi and granted tax exempt status by the Internal
-Revenue Service. The Foundation's EIN or federal tax identification
+Revenue Service. The Foundation’s EIN or federal tax identification
number is 64-6221541. Contributions to the Project Gutenberg Literary
Archive Foundation are tax deductible to the full extent permitted by
-U.S. federal laws and your state's laws.
+U.S. federal laws and your state’s laws.
-The Foundation's business office is located at 809 North 1500 West,
-Salt Lake City, UT 84116, (801) 596-1887. Email contact links and up
-to date contact information can be found at the Foundation's website
+The Foundation’s business office is located at 41 Watchung Plaza #516,
+Montclair NJ 07042, USA, +1 (862) 621-9288. Email contact links and up
+to date contact information can be found at the Foundation’s website
and official page at www.gutenberg.org/contact
Section 4. Information about Donations to the Project Gutenberg
Literary Archive Foundation
-Project Gutenberg-tm depends upon and cannot survive without
-widespread public support and donations to carry out its mission of
+Project Gutenberg™ depends upon and cannot survive without widespread
+public support and donations to carry out its mission of
increasing the number of public domain and licensed works that can be
freely distributed in machine-readable form accessible by the widest
array of equipment including outdated equipment. Many small donations
@@ -11208,8 +11207,8 @@ States. Compliance requirements are not uniform and it takes a considerable effort, much paperwork and many fees to meet and keep up
with these requirements. We do not solicit donations in locations
where we have not received written confirmation of compliance. To SEND
-DONATIONS or determine the status of compliance for any particular
-state visit www.gutenberg.org/donate
+DONATIONS or determine the status of compliance for any particular state
+visit www.gutenberg.org/donate.
While we cannot and do not solicit contributions from states where we
have not met the solicitation requirements, we know of no prohibition
@@ -11223,26 +11222,26 @@ outside the United States. U.S. laws alone swamp our small staff. Please check the Project Gutenberg web pages for current donation
methods and addresses. Donations are accepted in a number of other
ways including checks, online payments and credit card donations. To
-donate, please visit: www.gutenberg.org/donate
+donate, please visit: www.gutenberg.org/donate.
-Section 5. General Information About Project Gutenberg-tm electronic works
+Section 5. General Information About Project Gutenberg electronic works
Professor Michael S. Hart was the originator of the Project
-Gutenberg-tm concept of a library of electronic works that could be
+Gutenberg concept of a library of electronic works that could be
freely shared with anyone. For forty years, he produced and
-distributed Project Gutenberg-tm eBooks with only a loose network of
+distributed Project Gutenberg eBooks with only a loose network of
volunteer support.
-Project Gutenberg-tm eBooks are often created from several printed
+Project Gutenberg eBooks are often created from several printed
editions, all of which are confirmed as not protected by copyright in
the U.S. unless a copyright notice is included. Thus, we do not
necessarily keep eBooks in compliance with any particular paper
edition.
Most people start at our website which has the main PG search
-facility: www.gutenberg.org
+facility: www.gutenberg.org.
-This website includes information about Project Gutenberg-tm,
+This website includes information about Project Gutenberg,
including how to make donations to the Project Gutenberg Literary
Archive Foundation, how to help produce our new eBooks, and how to
subscribe to our email newsletter to hear about new eBooks.
|