06. Integration Rules
AP CALCULUS: CONCEPTS
The Substitution Rule [AB]
20
1
06. Integration Rules
AP CALCULUS: CONCEPTS
2
06. Integration Rules
AP CALCULUS: CONCEPTS
001
(A)
(B)
(D)
(E)
(C)
002
is equivalent to
Using the substitution ,
(A)
03. Applications of Differentiations (I)
AP CALCULUS: CONCEPTS
The Mean Value Theorem [AB]
09
1
03. Applications of Differentiations (I)
AP CALCULUS: CONCEPTS
2
03. Applications of Differentiations (I)
AP CALCULUS: CONCEPTS
001
Let be a function that i
9. More Application of Calculus
AP CALCULUS: CONCEPTS
The Lhospitals Theorem [BC]
30
1
9. More Application of Calculus
AP CALCULUS: CONCEPTS
2
9. More Application of Calculus
AP CALCULUS: CONCEPTS
001
Let and g be functions that are differentiable for
05. Concepts of Integration
AP CALCULUS: CONCEPTS
Area and Definite Integration [AB]
17
1
05. Concepts of Integration
AP CALCULUS: CONCEPTS
2
05. Concepts of Integration
AP CALCULUS: CONCEPTS
001
If
and , then
(A)
(B)
(D)
(E)
(C)
002
If
and , t
07. Applications of Integration (I)
AP CALCULUS: CONCEPTS
Average Value of a Function [AB]
25
1
07. Applications of Integration (I)
AP CALCULUS: CONCEPTS
001
If is the continuous, strictly increasing function on the interval as shown above, which of the
04. Applications of Differentiations (II)
AP CALCULUS: CONCEPTS
Tangent Line and Normal Line [AB]
13
1
04. Applications of Differentiations (II)
AP CALCULUS: CONCEPTS
2
04. Applications of Differentiations (II)
AP CALCULUS: CONCEPTS
001
If the line tan
02. Differentiation Rules
AP CALCULUS: CONCEPTS
Basic Differentiation Rule [AB]
05
1
02. Differentiation Rules
AP CALCULUS: CONCEPTS
001
sin sin
is
lim
(A)
(B)
(D) cos
(E) nonexistent
(C) sin
002
If , then
(A)
(B)
(D)
(E)
(C)
003
10. Series with Calculus
AP CALCULUS: CONCEPTS
The Series and Convergence [BC]
34
1
10. Series with Calculus
AP CALCULUS: CONCEPTS
2
10. Series with Calculus
001
I.
AP CALCULUS: CONCEPTS
Which of the following sequences converge?
II.
III.
(A) I o
01. Concepts of Derivatives
01
AP CALCULUS: CONCEPTS
Limit of a Function [AB]
01. Concepts of Derivatives
AP CALCULUS: CONCEPTS
01. Concepts of Derivatives
AP CALCULUS: CONCEPTS
001
Graph of
The figure above shows the graph of a function with domain .
08. Applications of Integration (II)
30
AP CALCULUS: CONCEPTS
Differential Equations and Sepration Method [AB]
1
08. Applications of Integration (II)
AP CALCULUS: CONCEPTS
2
08. Applications of Integration (II)
AP CALCULUS: CONCEPTS
001
The rare of cha
5128_Ch01_pp02-57.qxd 1/13/06 8:47 AM Page 2
Chapter
1
Prerequisites
for Calculus
xponential functions are used to model
situations in which growth or decay change
dramatically. Such situations are found in
nuclear power plants, which contain rods of
plut
5128_CH02_58-97.qxd 1/13/06 9:03 AM Page 58
Chapter
2
Limits and
Continuity
n Economic Injury Level (EIL) is a measurement of the fewest number of insect pests
that will cause economic damage to a crop
or forest. It has been estimated that monitoring
pest
Section I
The Calculus BC Exam
AP Calculus BC Exam
SECTION I: Multiple-Choice Questions
At a Glance
Total Time
1 hour, 45 minutes
Number of Questions
45
Percent of Total Grade
50%
Writing Instrument
Pencil required
Part A
Number of Questions
28
Time
55 mi
2016 College-Bound Seniors
Total Group
Profile
Report
TOTAL GROUP
Included in This Report
SAT Data
SAT Subject Tests Data
Demographic and Academic Information
College Plans
DATA EMBARGO IN EFFECT. This report contains information on college-bound students
Further Mathematics: Unit 3
Data Analysis
A judicious man looks at statistics, not to get knowledge but to save himself from having ignorance
foisted upon him.
Carlyle
There are lies, damned lies and statistics
disputed origin
Did you hear about the stati
Lines Of Best Fit Worksheet
1.
The graph above shows a line of best fit for data collected on the distance bicyclists have remaining in relation
to the amount of time they have been riding. What is the equation of the line of best fit?
A.
B.
C.
D.
2.
The
AP CALCULUS + STATISTICS
2016
A
AP Score Distributions* May 2016
=
Continued
2
AP CALCULUS + STATISTICS
2016
A
AP Score Distributions* May 2016
=
Continued
3
AP CALCULUS + STATISTICS
2016
A
AP Score Distributions* May 2016
=
Continued
4
AP CALCUL
URBANISM
sensibility and imperial arrogance; to British poet Lord
Byron it was the Rome of Hindoostan.
Independent India
New Delhi remains the capital of independent India,
and also the most ostentatious expression of the British
Raj. Shortly after indepe
TRIBAL PEOPLES OF EASTERN INDIA
held ideological charm, but it often proved contradictory
to the necessities of colonial administration.
Santhi Hejeebu
See also Balance of Payments: Foreign Investment
and the Exchange Rate; Economic Policy and
Change, 180
UNTOUCHABLES
With a vested interest in promoting close ties between
their old and new homelands, Indian Americans have
been active in supporting U.S. Congress members who
support India in its various endeavors. In 2003 various
Indian groups consolidated t
TILAK, BAL GANGADHAR
With no geographical union, Tibetans in India and in
exile worldwide innovate a cultural, ethnic, and linguistic
union, and the prominent symbols of Tibetan religion
and culture emerge as rallying signs for the global
Tibetan communit
TRIBAL PEOPLES OF EASTERN INDIA
belonging to various denominations entered interior
tribal areas and started to convert people there. They met
with greater success in the Northeast, particularly in
Nagaland, Meghalaya, and Mizoram, where they converted la
T YA G A R A J A
TRIPURA Located in Indias Northeast region,
Tripura is the smallest of the seven hill states, the Seven
Sisters. The climate is generally hot and humid. Tripura
is bordered by Bangladesh on the north, the south, and
the west, Assam on the
TRIBAL POLITICS
well as in the struggle against insensitive and overly
exploitative mining as in Kashipur, Orissa. In each of
these struggles, people have been arrested and killed by
the police, their houses have been razed, and their crops
destroyed.
Sin
U PA N I S H A D I C P H I L O S O P H Y
Vedanta in both senses of the word end: culmination,
on the one hand, and the real meaning or fulfillment of
Vedic teaching, on the other. What comes before them
are the hymns and chants of the four Vedas: Rig Veda
U N I T E D S TAT E S , R E L AT I O N S W I T H
aircraft, spacecraft (small aircraft), precious stones (diamonds, not mounted or set), metals, jewelry, miscellaneous chemical products, organic chemicals, and plastic.
By 2003 several major American corpor
VA R A N A S I
appeared as the moderate face of Hindu nationalism,
insisting that India remain a secular state.
Vajpayees tenure as prime minister is best known for
his efforts to bring about reconciliation with Pakistan
through what came to be called bus
T R A D E P O L I C Y, 1 8 0 0 1 9 4 7
necessity prompted the reimposition of an import duty of
3.5 percent in 1894, the government again appeased
British industrialists with an equivalent excise tax on
Indian cotton textile production. These excise dutie
T R A D E L I B E R A L I Z AT I O N S I N C E 1 9 9 1
Finance Minister P. Chidambaram. One of the principal architects of economic liberalization and reforms. In early May 2005, the
decidedly pro-business Chidambaram declared that India must open its doo
TRIBAL POLITICS
While the Fifth and Sixth Schedules of the Constitution have colonial antecedents, the detailed provisions
were framed by three subcommittees of the Advisory
Committee on Fundamental Rights and Minorities. The
committee, which was to look