Formula Sheet
MATH 113
Trigonometry
'Ii'igonometric mctions of Important Angles
r ans 811! cm tan
0 0 0 1 0
30 1r/6 1/2 /2 5/3
45 "/4 Ji/2 5/2 1
60 1r/3 7/2 1/2 J5
90 1r/ 2 1 0 undened
I Fundamental
AP
Statistic
s
Chen Tingjing
[email protected]
Confidence Interval for a
Population Mean
2
Example 9.7 Cosmic Radiation
t Distributions
One-Sample t Confidence Interval
15/9/27
homework
9.3
AP
Statistic
s
Chen Tingjing
[email protected]
Large-Sample Confidence Interval for a
Population Proportion
Because of sampling variability, rarely is
the point estimate from a sample exactl
AP Statis
tics
Chen Tingjing
[email protected]
Large-Sample Confidence Interval for a
Population Proportion
Because of sampling variability, rarely is t
he point estimate from a sample exac
Summary for discussion (page 63)
1. From our discussion, we reached a consensus that it would be easy to obtain
a simple random sample of students at our school. From our perspective, the
most challen
AP Statis
tics
Chen Tingjing
[email protected]
9.1 Point Estimation
A point estimate of a population characte
ristic is a single number that is
based on sample data and represents a pl
ausi
2011 AP STATISTICS FREE-RESPONSE QUESTIONS
Formulas
(I)
Descriptive Statistics
xi
n
x
1
sx
1
n
xi
x yi
xi
y
b1
r
x
xi
1
2
1
x
sx
yi
y
sy
sy
sx
yi
sb
y
b1 x
1
n
n2 1
b1 x
b1
r
2
n2 1 s 2
2
n1 1
b0
b0
x
In the book How to slowly kill yourself and others in America, the author
Laymon uses the concept of an album to connect all tracks which are his
experiences with different people to show how a black
Md "3) Fa" b5 Exam 1 Solum
1. L»! fU'J/J = J'(!I " 1-
lu] In tho following axes. sketch the mnmur lines for the contour Villllt's 0. l. and - l.
Cleariy label rzach (me wuh rts rrnntour value. 0
~ 7 (
Math 113 - Calculus II] Practice Exam 1 Spring 2003
Name: SOLUTIONS
1. Match each function to one of the given graphs. and no one of the glwn contour
diagrams. The plots ate given In a semi-we handout
Math 113 - Calculus 11] Exam 1 Practice Problems Fall 2005
Name: _
1. Match each function to one of the given graphs, and to one of the given contour
diagrams. The plots are given in a separate hand
Questionnaire
1. Have you registered for any AP Exam?
A. Yes (Please continue answering this questionnaire) 42
B. No (This is the end of the questionnaire. Thanks for your participation. ) 8
2. How ma
Group 5
!
SURVEY OVERVIEW
!
2012530513 2012530122
2012530412
2013530424
Our group choose The Survey and Analysis on the AP Exams Registration of
Shenzhen Middle School IC Freshmen as our topic. We an
Chapter 16
1. Section 1
a. understand the definition of a vector field.
b. Associate functions with their vector field (this is a bit hard to study
for, just trust yourself)
c. Give examples of veloci
CH 14 PARTIAL DERIVATIVES
Section 7 Maximum and Minimum Values
Summary
In this section the old is new again where we find the maxima and minima values using
derivatives. Sometimes critical points (fir
Western Michigan University
ScholarWorks at WMU
Center for the Study of Ethics in Society Papers
Center for the Study of Ethics in Society
9-1993
Why Does Utilitarianism Seem Plausible?
John Dilworth
Why Not Utilitarianism?
,
A lot of very smart non-philosophers are attracted to some form of
utilitarianism. Some of these people, like Ilya Somin and Mike Rappaport
are generally sympathetic to the i
Department of Economics
Colgate University
Dean Scrimgeour
Fall 2016
ECONOMICS 252: MACROECONOMICS
FINAL PAPER
Your assignment is to write a paper about some theme developed in Mohamed El-Erians
book
Variable
countryname
ppp_xr_2010
milex2010_lcu
milex2010_usd
Description
Country Name
Purchasing Power Parity Exchange Rate, 2010
Military Expenditure, 2010, local currency units
Military Expenditure,
Macro Update 2
November 2, 2016
Rachel Huang & Eric Hong
The past month has been a good month overall for the overall economic activity shows
improvement, with the stable labor market and slightly gro
Given the data and news stories released in this past month, has your overall assessment of
overall economic activity improved, deteriorated, or remained the same as compared to the
previous month? In
I picked China simply just because it is where I am from and also, Chinese economy is
distinguished for its so-called socialist market economy which is different from many
western economies that are c
9/17/13
2010.igem.org/Team:USTC/Project/survey
Below are the results of the questionnaire answered by people before the talk.
SURVEY OVERVIEW
ur survey includes two parts, one conducted before our
Math 113 - Calcullm II] Final Exam Practice Problems Spring 2003
I. Let
giny. :) = V213 + y? + 49.
(8) Describe the shapes of the level surfaces of 9
(b) In three different graphs. sketch the three tr
Math 3 - Calculus lll Chapter 16 Pracca Problems Fall 2003
1. Suppose the integral of some function I over a region R in the plane is given in polar mor-
dinntm 33 v
.3 .1
l I r2 d0dr.
. u . 0
(:5) Sk
12.5: Lines and Planes in R3
Lecture 4
Marius Ionescu
September 10, 2012
Marius Ionescu ()
12.5: Lines and Planes in R3
September 10, 2012
1 / 13
The vector equation of a line
A line L is determined w
The Dot Product
Lecture 2
Marius Ionescu
August 31, 2012
Marius Ionescu ()
The Dot Product
August 31, 2012
1/9
The Dot Product
If a = a1 , a2 , a3 and b = b1 , b2 , b3 , then the dot product
of a and
The Cross Product
Lecture 3
September 7, 2012
()
The Cross Product
September 7, 2012
1/7
Properties
Given two vectors a and b we want to build a vector a b called
the cross product of a and b with the
14.3: Partial Derivatives
Marius Ionescu
October 12, 2012
Marius Ionescu ()
14.3: Partial Derivatives
October 12, 2012
1 / 13
Partial derivative of f
with respect to x
Denition
Marius Ionescu ()
14.3:
14.4: Tangent Planes and Linear Approximations
Marius Ionescu
October 15, 2012
Marius Ionescu ()
14.4: Tangent Planes and Linear Approximations
October 15, 2012
1 / 13
Tangent Planes
Denition
Marius I