Chapter 15.2, Operations With Random Variables
Review:
Shiftingadding or subtracting a constant q to each piece of the data
The mean transitions from I./to .J " CJ
The standard deviation transitions from dr to
Rescalingmultiptying or dividing each pie
WS Solving Trig Eq. Precal PreAp
Name_
Solve each equation where 0 x < 2 . Use exact values when possible, round to the nearest hundredth if necessary.
1.
cos x = .3
4.
sin 3 x = .44
2.
sec x = 3
5.
sec 2 x + 7 sec x + 10 =
0
3.
cot x = 1.2
6.
2sin x 3 =
51M dab?
Graph each f r [WU pcuuua. Label each quadrant.
6); 3% 1%
@1 1R;
)1 = sin 4x a \ x . Name:
Graph each for two periods. Label each quadrant.
v=23i11(x+%)1 5,
MODULE 2 WRITING WORKSHOP
APPLICATION OF THE TARGETED SKILL OF
*COMPARISON
Compare and contrast the development of society within different
English colonial regions from 1607 to 1700.
MEGHA NEELALA
Historians use comparison to illuminate the similarities
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Chapter Review Exercises (page 795)
R12.1 (a) There is a moderately strong, positive linear relationship between the thickness and
the velocity.
(b) y = 70.44 + 274.78 x where y is the velocity and x
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AP Statistics Practice Test (page 797)
T12.1 c. There is no sample size limitation.
T12.2 b. The association looks quadratic (a power model), so taking the square root of y or the
log of x and log of
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Chapter 12
Section 12.1
Check Your Understanding, page 752:
State: We want to estimate the true slope of the population regression line relating fat
gain to change in NEA with 95% confidence. Plan
"T
L.Lu, SLHS, AP Calculus BC/GT
Student Name
Chapter 7 Applications of Integration
7.1
Area of a Region between Two Curves
Write the definite integral that represents the area of each shaded region:
f(x)
b
o.
6
g(x)
Area = f: f(x)dx
f(x)
Area = f:(g(x)d
Pagef #zf
u&
Page I # >2
Pagel# 2
or;
Xn. . iUd (jLe
)/
>0
PP
O
Lxi)(jw
x o X 1
X O 2,
A
u > ~X5) X
cfw_)
0 (
ftx+  Pxj (jx+x+jzx)
JlA
j>0
t .
, i i
1
)<r5>0
y<5 .
i
 bv) fx+L
x
fJxflf / x)
f
=3s
 % C B l ) ywB CxKh'rUXLS
K >0
>*cfw_ 0
9.7(1) Taylor Polynomials and Approximations
Polynomial functions can be used to approximate functions such as sinx, e*, and In . On your
calculator, raph and compare /i( ) and /2( )
/j (x) = sin x

j ( X ) = cosx
3 5
rs \ 1 X2 X4
XX
f2(x) = \ +
J2 (x)
L.Lu, SLHS,AP Calculus BC/GT Student Name
Chapter 8 Integration Techniques, L Hopital s Rule, and
Improper Inte rals
8.1 Basic Integration Rules
1~42 Find the antiderivative (indefinite integral) or evaluate t e definite inte ral:
1. J (3x  2)4 dx
2. f
r
L. Lu, SLHS, AP Calculus BC/GT
Student Name
Chapter 9 Infinite Series
9.1 Sequences
A sequence is a function whose domain is the set of positive integers: a, a2, a3, .,a, .
% is called the nth term, and the sequence is denoted by cfw_a, .
Example 1. Write
Part II Polar Coordinates
The slope of a tangent line to a polar gra h r = f(9)
dy
d(rsin 0)
rcosS+r sin0 r\
;
:
provided
=7= U
rsmS+r cos 0 dd
dd
dy _ dd
dx dx
<2(r cos )
dd
d6
Example 1 Find and the slope of the graph of the polar curve at the iven val
Practice Ex m BC1
Calculus BC
Section I, Part A
Time 55 minutes
Number of questions 28
No calculator is allowed for these questions.
cJafkfS'
Ax)
fix)
0
i
2
1
2
2
4
1
3
5
3
2
1
2
3
2
1
2
2
I
(cf"
) V 'f )
N i) M
N, L
J
d)
 2
2
Questions 1 and 2 ref
L. Lu, SLHS, AP Calculus BC/GT Student Name
Chapter 6 Differential Equations
Important: In AP Calculus BC, we only deal with real numbers. No imaginary numbers.
6.1 Part 1: Slope Fields
Example 1. Sketch a slope field for the differential equation  .Usin
L. Lu, SLHS, AP Calculus BC/GT
Student Name
Chapter 10 Parametric Equations and Polar Coordinates
Part I Parametric Equations
If a smooth plane curve C is iven by the equations x = f(t) and y = g(t), then
dy
d dy
cfy _ where dx
dx dx
dt
0
dt
dx
d2y
d dy
PACE NSC 2013
Round 7
Tossups
1. Modern editors of these writings think the Bordeaux copy fits edition B of their A, B, and C
editions. One of these works doubts that Atlantis is the same as the New World, and opens by noting
Pyrrhuss disdain for invaded
PACE NSC 2013
Round 20
Tossups
1. In ancient Rome, these people would pray with a pronuba matron. According to hadith, the
procedure for becoming one of these requires consent from a wali who is mahram. Its not any kind
of royalty, but a metaphorical one
PACE NSC 2013
Round 5
Tossups
1. This figure exchanges insults with a boatman with a name meaning "Greybeard" who refuses to
ferry. One member of this deitys retinue is in atonement for scraping the marrow out of a
thighbone, and the sorceress Groa ran o
PACE NSC 2013
Round 8
Tossups
1. This countrys Muslims caused the mal revolts. A bishop here said "When I ask why so many
people are poor, they call me a communist." Faiths in this country use an X in spelling holy names
such as Exu and Xango. Sacred musi
PACE NSC 2013
Round 10
Tossups
1. This value is set proportional to the derivative of n with respect to r in Kato's theorem. This
quantity is related to the square root of the frequency of an emitted Kalpha line by Moseley's Law.
According to the semiem
PACE NSC 2013
Round 16
Tossups
1. One event in this play is foreshadowed by a character's green pajamas. In another scene, a
housewife leads several cafe patrons in a funeral procession for her dead cat. A character in this play
claims that all cats are d
PACE NSC 2013
Round 13
Tossups
1. One character in this novel is obsessed with the moment in which he reached out to grasp a water
lily and felt the simultaneous grazing of the breasts of Madame Miyagi and Miss Makiko on his body.
It contains a diary exce
PACE NSC 2013
Round 2
Tossups
1. Cromwells rule limits the cases where this theorem can be applied. This theorem is used to find
the credibility interval. This theorem is used by the ExpectationMaximization algorithm, and can
also be used to solve the Mo
PACE NSC 2013
Round 18
Tossups
1. One method of doing this has variations using a Zeeman slower and another which uses a pair of
orthogonally polarized beams. This process can be achieved by successive rounds of adiabatic
magnetization and demagnetization
PACE NSC 2013
Round 23
Tossups
1. The progress of this process is measured using the modified Bishops score, and lack of blood
during this process causes necrosis of the pituitary in Sheehans syndrome. This process is impeded
by shoulder dystocia, and Gro
PACE NSC 2013
Round 9
Tossups
1. One book by this man examined the "collective effervescence" inherent to communal behaviors
that separated the sacred from everyday life. This man claimed that certain actions, objects, and
beliefs can gain "facticity" and