5 Steps To A 5 Ap Calculus Ab 2022 1St Edition William Ma Full Chapter
5 Steps To A 5 Ap Calculus Ab 2022 1St Edition William Ma Full Chapter
5 Steps To A 5 Ap Calculus Ab 2022 1St Edition William Ma Full Chapter
Edition William Ma
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TERMS OF USE
Preface
Acknowledgments
About the Author
Introduction: The Five-Step Program
I could not have written this book without the help of the following
people:
This icon calls your attention to a strategy that you may want to
try.
IN THIS CHAPTER
Summary: Learn what topics are tested in the exam, what the
format is, which calculators are allowed, and how the exam is
graded.
Key Ideas
The AP Calculus AB exam has 45 multiple-choice questions and 6
free-response questions. There are two types of questions, and
each makes up 50% of the grade.
Many graphing calculators are permitted on the exam, including
the TI-98.
You may bring up to two approved calculators for the exam.
You may store programs in your calculator, and you are not
required to clear the memories in your calculator for the exam.
During the time allotted for Part B of Section II, students may
continue to work on questions from Part A of Section II. However,
they may not use a calculator at that time. Please note that you are
not expected to be able to answer all the questions in order to
receive a grade of 5. If you wish to see the specific instructions for
each part of the test, visit the College Board website at:
https://apstudent.collegeboard.org/apcourse/ap-calculus-
ab/calculator-policy.
IN THIS CHAPTER
Summary: The right preparation plan for you depends on your
study habits and the amount of time you have before the test.
Key Ideas
Choose the study plan that is right for you.
1. You are the kind of person who likes to plan for everything far in
advance ... and I mean far ... ;
2. You arrive at the airport 2 hours before your flight because, “you
never know when these planes might leave early ...”;
3. You like detailed planning and everything in its place;
4. You feel you must be thoroughly prepared;
5. You hate surprises.
1. You get to the airport just as your plane is announcing its final
boarding;
2. You work best under pressure and tight deadlines;
3. You feel very confident with the skills and background you’ve
learned in your AP Calculus class;
4. You decided late in the year to take the exam;
5. You like surprises;
6. You feel okay if you arrive 10---15 minutes late for an
appointment.
DECEMBER
FEBRUARY
APRIL
JANUARY
FEBRUARY
APRIL
APRIL 1st---15th
Circular Throne Hall in the Grounds of the Lake Palace looted by Allied
Troops in 1900.
Kuang Hsü’s reign was over; there remained to him only the
Imperial title. He had had his chance; in the enthusiasm of youth and
new ideas he had played a desperate game against the powers of
darkness in high places, and he had lost. Once more, as after the
death of T’ung-Chih, Tzŭ Hsi could make a virtue of her satisfied
ambitions. She had given her nephew a free hand, she had retired
from the field, leaving him to steer the ship of State: if he had now
steered it into troublous and dangerous seas, if, by common
consent, she were again called to take the helm, this was the doing
of Heaven and no fault of hers. She could no more be blamed for
Kuang Hsü’s folly than for the vicious habits and premature death of
her son, which had brought her back to power 23 years before. It
was clear (and there were many voices to reassure her of the fact)
that the stars in their courses were working for the continuance of
her unfettered authority, and that any trifling assistance which she
might have given them would not be too closely scrutinised.
Kuang Hsü’s reign was over; but his person (frail, melancholy
tenement) remained, and Tzŭ Hsi was never enamoured of half
measures or ambiguous positions. From the day when the pitiful
monarch entered his pavilion prison on the “Ocean Terrace,” she
began to make arrangements for his “mounting the Dragon” and
“visiting the Nine Springs” in the orthodox classical manner, and for
providing the Throne with another occupant whose youth,
connections and docility would enable her to hold the Regency
indefinitely. Nevertheless, because of the turbulent temper of the
southern provinces and possible manifestations of Europe’s curious
sympathy with the Emperor’s Utopian dreams, she realised the
necessity for proceeding with caution and decorum. It was commonly
reported throughout the city in the beginning of October that the
Emperor would die with the end of the Chinese year.
Kuang Hsü was a prisoner in his Palace, doomed, as he well
knew; yet must he play the puppet Son of Heaven and perform each
season’s appointed posturings. On the 8th day of the 8th Moon he
appeared therefore, as ordered by his attendants, and in the
presence of his whole Court performed the nine prostrations and
other proper acts of obeisance before Her Majesty Tzŭ Hsi, in
recognition of his own nonentity and her supreme authority. In the
afternoon, escorted by a strong detachment of Jung Lu’s troops, he
went from the Lake Palace to sacrifice at the Altar of the Moon.
Thus, pending the coup-de-grâce, the wretched Emperor went
through the empty ceremonies of State ritual; high priest, that was
himself to be the next victim, how bitter must have been his thoughts
as he was borne back with Imperial pomp and circumstance to his
lonely place of humiliation!
Tzŭ Hsi then settled down to her work of government, returning to
it with a zest by no means diminished by the years spent in retreat.
And first she must justify the policy of reaction to herself, to her high
officials, and the world at large. She must get rid of offenders and
surround herself with men after her own heart.
A few days after the Autumn festival and the Emperor’s
melancholy excursion, Her Majesty proceeded to remind the Imperial
Clansmen that their position would not protect them against the
consequences of disloyalty; she was always much exercised
(remembering the Tsai Yüan conspiracy) at any sign of intriguing
amongst her Manchu kinsmen. In this case her warning took the
form of a Decree in which she sentenced the “Beileh” Tsai Ch’u[57] to
perpetual confinement in the “Empty Chamber” of the Clan Court.
Tsai Ch’u had had the audacity to sympathise with the Emperor’s
reform schemes; he had also had the bad luck to marry one of Tzŭ
Hsi’s nieces and to be upon the worst of terms with her. When
therefore he advised the Emperor, in the beginning of the Hundred
Days, to put a stop, once and for all, to the Old Buddha’s
interference in State affairs, the “mean one of his inner chamber” did
not fail to report the fact to Her Majesty, and thus to enlist her
sympathies and activities, from the outset, on the side of the
reactionaries.
At the time immediately following the coup d’état, public opinion at
the Capital was divided as to the merits of the Emperor’s proposed
reforms and the wisdom of their suppression, but the political
instincts of the tribute-fed metropolis are, generally speaking,
dormant, and what it chiefly respects is the energetic display of
power. So that, on the whole, sympathy was with the Old Buddha.
She had, moreover, a Bismarckian way of guiding public opinion, of
directing undercurrents of information through the eunuchs and tea-
house gossip, in a manner calculated to appeal to the instincts of the
literati and the bourgeois; in the present instance stress was laid on
the Emperor’s lack of filial piety, as proved by his plotting against his
aged and august aunt (a thing unpardonable in the eyes of the
orthodox Confucianist), and on the fact that he enjoyed the sympathy
and support of foreigners—an argument sufficient to damn him in the
eyes of even the most progressive Chinese. It came, therefore, to be
the generally accepted opinion that His Majesty had shown
deplorable want of judgment and self-control, and that the Empress
Dowager was fully justified in resuming control of the government.
This opinion even came to be accepted and expressed by those
Legations which had originally professed to see in the Emperor’s
reforms the dawn of a new era for China. So elastic is diplomacy in
following the line of the least resistance, so adroit (in the absence of
a policy of its own) in accepting and condoning any fait accompli,
that it was not long before the official attitude of the Legations—
including the British—had come to deprecate the Emperor’s
unfortunate haste in introducing reforms, reforms which every
foreigner in China had urged for years, and which, accepted in
principle by the Empress since 1900, have again been welcomed as
proof of China’s impending regeneration. In June 1898, the British
Minister had seen in the Emperor’s Reform Edicts proof that “the
Court had at last thoroughly recognised a real need for radical
reform.”[58] In October, when the Chief Reformer (K’ang Yu-wei) had
been saved from Tzŭ Hsi’s vengeance by the British Consul-General
at Shanghai and conveyed by a British warship to the protection of a
British Colony (under the mistaken impression that England would
actively intervene in the cause of progress and on grounds of self-
interest if not of humanity), we find the tide of expediency turned to
recognition of the fact that “the Empress Dowager and the Manchu
party were seriously alarmed for their own safety, and looked upon
the Reform movement as inimical to Manchu rule”![58] And two
months later, influenced no doubt by the impending season of peace
and good will, the Marquess of Salisbury is seriously informed by Sir
Claude Macdonald that the wives of the foreign Representatives,
seven in all, had been received in audience by the Empress
Dowager on the anniversary of her sixty-fourth birthday, and that Her
Majesty “made a most favourable impression, both by the personal
interest she took in all her guests and by her courteous
amiability.”[58] On which occasion the puppet Emperor was exhibited,
to comply with the formalities, and was made to shake hands with all
the ladies. And so the curtain was rung down, and the Reform play
ended, to the satisfaction of all (or nearly all) concerned.
Nevertheless, the British Minister and others, disturbed at the
persistent rumours that “the Empress Dowager was about to
proceed to extreme steps in regard to the Emperor,”[58] went so far
as to warn the Chinese Government against anything so disturbing
to the European sense of fitness and decency. Foreign countries, the
Yamên was told, would view with displeasure and alarm his sudden
demise. When the news of the British Minister’s intervention became
known in the tea-houses and recorded in the Press, much
indignation was expressed: this was a purely domestic question, for
which precedents existed in plenty and in which foreigners’ advice
was inadmissible. The Emperor’s acceptance of new-fangled foreign
ideas was a crime in the eyes of the Manchus, but his enlistment of
foreign sympathy and support was hateful to Manchus and Chinese
alike.
Matters soon settled down, however, into the old well-worn
grooves, the people satisfied and even glad in the knowledge that
the Old Buddha was once more at the helm. In the capital the news
had been sedulously spread—in order to prepare the way for the
impending drama of expiation—that Kuang Hsü had planned to
murder Her Majesty, and his present punishment was therefore
regarded as mild beyond his deserts.[59] Scholars, composing
essays appropriate to the occasion, freely compared His Majesty to
that Emperor of the Tang Dynasty (a.d. 762) who had instigated the
murdering of the Empress Dowager of his day. Kuang Hsü’s death
was therefore freely predicted and its effects discounted; there is no
doubt that it would have caused little or no comment in the north of
China, however serious its consequences might have been in the
south. The public mind having been duly prepared, the Empress
Dowager, in the name of the prospective victim, issued a Decree
stating that the Son of Heaven was seriously ill; no surprise or
apprehension was expressed, and the sending of competent
physicians from the provinces to attend His Majesty was recognised
as a necessary concession to formalities. “Ever since the 4th Moon,”
said this Decree (i.e., since the beginning of the hundred days of
reform), “I have been grievously ill; nor can I find any alleviation of
my sickness.” It was the pro formâ announcement of his impending
despatch, and as such it was received by the Chinese people.
Amongst the doctors summoned to attend His Majesty was Ch’en
Lien-fang, for many years the most celebrated physician in China.
The following account of his experiences at the capital and the
nature of his duties, was supplied by himself at the time, to one of
the writers, for publication in The Times.