Functions and Graphs
CmrstantF'imctian
m m firi=u
Graph is ahor'rrmital line passing
throughthepoint [Ila].
Ijnel'ljnear Fimcml
y=mr+b or fcfw_x=m+b
Graph isaline with point cfw_ELM and
slope at.
aw
Slope of the line containing the two
points cfw_Inll and
Page 1 of 6
Unit 3: Polynomial Functions
UNIT OVERVIEW
26-29 Days
Through their study of quadratic functions, students have begun to recognize properties of the
graph of a function such as the extrema, x- and y-intercepts, symmetry of the graph with respe
TI-Nspire
Algebra - substitution
Aim
To provide an overview of substituting into algebraic expressions on the
calculator.
Calculator objectives
By the end of this unit, you should be able to:
evaluate algebraic expressions by assigning values to variable
Math 10 Elementary Statistics Spring 2017
Chapter 3: Numerical Summaries of Center and Variation 2. :05.
eleThe shape of the distribution will determine which measures are best for communicating the /9
typical value and the variability in the distribution
Math 10 Elementary Statistics Spring 2017
Cha t r2: P'ct r'n V 'ation 'th Gra hs
pe I u1g ari wr p_ 2 506%
2.1 Visualizing Variation in Numerical Data
Distribution of a sample - organizing the data in a chart or graph. List that records (1) the values tha
1
Math 10 Elementary Statistics Spring 2017
Chapter, 4 Regression Analysis: Association Between Variables a?
- Explore associations between numerical variables graphically and numerically.
- Model linear trends using a regression line.
lIIZ' I" EI'I'I'I
Math 10 Elementary Statistics Spring 2017
Cha ter 1: Introduction to Data
1.1 What are Data?
Statistics - the science of collecting, organizing, summarizing, and analyzing data to answer
questions and/or draw conclusions.
Data - recorded observations or
Math 10 Elementary Statistics Spring 2017
Ham
Chapter 7: Survey Sampling and Inference
7.1 Learning About the World with Surveys
A population is a group of objects or people we with to study.
Example: All NBA basketball players.
A parameter is a numerical
2PM
Math 10 Elementary Statistics Spring 2017
Ch. 8 Hypothesis Testing for Population Proportions P
- Conduct hypothesis tests involving one and two population proportions
1ThE ntillrint fH hiTtin'l in
Hypothesis testing - is a procedure that enables us
Math 4C Name: ASWE! K47
Test 1 100 Points
SHOW ALL WORK FOR CREDIT
x1+3x2 +9x3 =16
1. Consider the system x2 +4x3 = 7
2x1 + 7x2 + 22x3 2 39
3. Express the solutions of the system in parametric vector form. Show all steps. spoints
13Cr~|c li'li (0-45
Uii7
Math 4C Name: 4/25ch K971
Test 2 100 Points
SHOW ALL WORK FOR CREDIT
1 -4
1 4 8 12 -3
1. LetA = , B = 2 8 , and C = . Find the following. Show all steps.
2 5 1 8 2
3 1
l , fir ' n
a_ AC tug, cfw_201 jerwj- You 'li finally/JV 6 23 M"; [(117 6 212M; 2points
Math 4C
Blasberg
Quiz #5
Name _
1. Let V be the set of vectors , in R2. Define , + , = + , + and , = , .
(a) Show that V satisfies at least 3 properties of a vector space. (b) Show that V does not satisfy at least 2 of
the properties of a vector s
Math 4C
Quiz #6
Name _
Blasberg
1. Find the dimension of the subspace of R3 spanned by the vectors (1, 2, 1), (3, -2, -3), (2, 0, -1), and (1, -2, -2)
and find a basis for this subspace. (1.5 pts)
1 3
2
3
1
1
1 0 0.5 0.5
2 2 0 2 0 1 0.5 0.5 , so columns
Math 4C
Blasberg
Quiz #4
Name _
1. Using homogeneous coordinates in two dimensions, find three matrices whose product will rotate a point
clockwise through 90 around the point (2, -1). Dont multiply them together!
(2 pts)
1 0 2
0 1 1
0 0 1
0 1 0
1 0 0
0 0
Math 4C
Blasberg
Quiz #7
1.(a) Find the characteristic polynomial and the eigenvalue(s) of M =
Name _
. (1.5 pts)
(b) Find a basis for each eigenspace corresponding to the eigenvalues you found in (a).
(1.5 pts)
(c) Is M diagonalizable? If it is not, expl
Math 4C
Blasberg
1. Let the transformation T :
Quiz #8
Name _
be defined by T(x) = Ax, where A =
.
(a) Find a basis B with the property that [T]B is diagonal. (3 pts)
(b) Show that the image of x = (2, -2, 5) under T is equal to the image of [x]B when mul
Math 2C
Exam 2 Review
The second exam will be on Monday, April 18th. It will cover sections 3.1, 4.1-4.4 and 4.6. The exam
will consist of questions worth various values for a total of 125 points. You may use one 3 by 5
notecard (no specific examples). Pr
Physics 4C Exam 1 study guide
What you should know for the exam
Know what Simple Harmonic Motion is.
Be able to recognize the Simple Harmonic Equation and write out a general solution.
For the case of the ideal spring force, know how frequency relates to
Gloria Aguilar
Math 10 [MW]
Project: Part Two
Do You Like Pickles on Your Burger?
Project Background
The reason I choose to survey people on their condiment preferences is because I love pickles
myself and the people I usually associate with don't like th
Math 10, Spring 2016
Chapters 7.3-9.3 Review
Remember to Bring: Pencil, calculator!, and one 8.5x11 page of notes (1 side, handwritten).
For proportions, be sure to know what p (population proportion),p , and p0 stand for.
For means, be sure to know what
Math 3A (Allen)
Exam 4, part 1
May 17, 2016
name
Please use pencil. To receive credit you must show your work. This is due at the start of class
Tuesday. Each problem is worth 6 points unless otherwise indicated.
1) (6 pts ea.) Find n so that the Midpoint
Supersonic Flow over Airfoils
In the previous chapter we treated subsonic flow over airfoils. In this final chapter we will take a look at
supersonic flow. How do airfoils behave at M > 1?
1
The Linearized Supersonic Pressure Coefficient Equation
In the
p
Delft University of Technology
D E P A R T M E N T OF A E R O S P A C E E N G I N E E R I N G
Course: Aerodynamics 2;
Code: AE2210
Course year: 2
Date: Wednesday 14 August 2013
Time: 14:00-17:00
On the top of each answer sheet write: initials, name, stude
Flow Through Wind Tunnels
To be able to test with supersonic flows, wind tunnels are used. To reach a supersonic flow, they must
have a characteristic shape. Why is this? And how does this shape effect the flow? We will try to find
that out.
1
Basic Equat