Math 130
Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14
Final Exam Key
Answer f ( x + h) - f ( x ) = 2x + h - 3 h A( x) = 16 x - 2 x 3 2 x ( x - b) x( x 2 - a) None of the above. x + 1 if x > 0 f ( x) = x
Section 10.6 Modeling Motion with Parametric Equations PreCalculus
Simulating Motion with a Graphing Calculator
EXAMPLE 1 Simulating Horizontal Motion
There are several ways to simulate motion along a
Test 2 Outline
Chapter 3: Probability Basics
Basic Definitions
o Sample Space,
o Events,
o Outcomes
*Remember: Sample space is the list of outcomes, not the number of outcomes!
Types of Probability
o
Discovery Activity on Polar equations of Conics
Part 1
1)
By using negative in the graph it causes it to invert on the x-axis
By using Sin it reflects the graph on the y-axis and Cos on the x-axis
Abs
Test 3 Outline
Chapter 6: Confidence Intervals
Definition of confidence
Definition of point estimate
o Point estimate for mean, proportion
o Know symbols for parameters and estimates
General form of c
Chapter 7/8 Assignment
Group Name: _
Instructions
Open the data file titled MAT110TestData and use it to complete the questions below. This file contains
sample data for a group of 70 MAT 110 students
MAT 172 Inverse Trig Functions KEY Supplement page 17
1.
9.
: Find the angle, between
4
: Find the angle, between
5
6
17.
1
2
3
: Find the cosine value of the angle whose cosine value is
: Find the an
Basic Trigonometric Equations
Part I:
1.
3.
sin( )
1
2
5.
1
2
2
2
3
x k and
k
4
4
or
tan
cos( x)
5
2k and
2 k
6
6
x
1
3
5
k
6
k
4 2
2.
sin( ) 1
3
2k
2
6.
4.
cos( x)
x
3
2
5
k and
k
6
6
cos
Solving Trigonometric Equations
Group Name:_
Algebraically solve the following trigonometric equations showing all work.
Part1: Solving Basic Trigonometric Equations.
1.
Solve each of the following eq
Section 3.1: Polynomial Functions of Degree Greater Than 2
Objectives
Upon completion of this lesson, you will be able to:
match the graph of a polynomial function with its equation
describe end beh
Section 2.4: Definition of Function
Objectives
Upon completion of this lesson, you will be able to:
given a function, find and simplify a difference quotient for
o polynomial functions of degree 3 or
Section 2.5: Graphs of Functions
Objectives
Upon completion of this lesson, you will be able to:
sketch the graph of a piecewise function containing any of the library functions:
o polynomial functio
Section 3.5: Rational Functions
Objectives
Upon completion of this lesson, you will be able to:
sketch the graph of a rational function by finding:
o x- and y-intercepts
o horizontal and vertical asy
Section 5.1: Angles
Objectives
Upon completion of this lesson, you will be able to:
given an angle, find a coterminal angle with specific parameters
convert from degrees to radians and radians to de
Section 7.1 Overview
The idea behind hypothesis testing it to see if a sample statistic is so different from what is
supposed to be the true value that we can decide a mistake was made. A statement is
MAT 172
Polar Graphing Project
This project is to be completed with www.desmos.com, and you may
investigate and use all of the available tools in desmos.com. You MAY NOT
use anyone elses design that i
Section 5.1: Angles
Objectives: Upon completion of this lesson, you will be able to:
for a given angle, find multiple coterminal angles
convert between degrees and radians
convert between an angle in
Graphing by Transformations
1
Objectives
Shifting
Stretching
Compressing
Reflecting
Introduction
In certain situations we can obtain the graph of a complicated function formula by
transforming one
Functions and Graphs
1
Objectives
Using Function Notation
Domain & Range
Graphing Functions
Special Function Properties
Introduction
The concept of function is one of the most important in all of
Math 130 Notes for Section 5.3 and 5.4
Useful Links
1. Unit Circle and graph of y = sin ( x )
http:/www.geogebratube.org/material/show/id/8028
2. Unit Circle and graph of y = cos ( x )
http:/www.geoge
Math 130 Lesson Objectives
This is a list of learning objectives for each text section.
2.4 Definition of Function
Determine the domain of a function from its formula and the graph
Determine the range
Section 5.5 Graphing Sinusoidal Functions Lecture Notes
Objectives
Identify period, amplitude and basic shape for the graphs of y = sin ( x ) and y = cos ( x )
Identify period, amplitude, phase shift
Linear Speed and Angular Speed Notes
Objectives
We will learn how to calculate the following.
Linear speed
Angular speed
Arc length
Main Idea
In the diagram, the shaded circle rotates clockwise thr
Working With Angles Notes
1
Main Idea
In order to solve a given problem using trigonometry, we need to work with angles,
i.e., a measure of the space swept out by rotating a given segment about one of
Graphing Basic Functions
1
Objectives
Finding Intercepts
Graphing Basic Functions
Introduction
We can always draw the graph of a given function by plotting enough points. Unfortunately,
as the funct
Math 130 Graphing by Transformations
Example 1
2
Use transformations to draw the graph of the function g ( x ) = ( x + 3) 1 .
Make sure that you label at least 3 points on your final graph.
Step 1: Id
Right Triangle Trigonometry Notes
1
Main Idea
We want to define six basic ratios that will help us explore the relationships between the
angles and sides of a given right triangle.
hypotenuse
h
b
oppo
Section 7.3 Overview
In this section we go into detail about how to perform a hypothesis test. We will start with the
population mean, . In later sections we will test the population proportion and di
Parametric Equations Trigonometry and Applications
1. a)
b)
c)
2. a)
17.68 sec
5000 f
1250 f
x ( t ) 28cos 52o t
y( t ) 3 28cos 52o t 16t 2
b)
1.5037 sec
c)
25.9216 f
d)
10.5446 f
3. a)
b)
c)
5 sec
16
Section 5.3: Trigonometric Functions of Real Numbers
Objectives
Upon completion of this lesson, you will be able to:
find the values of the six trigonometric functions for an angle t on the unit circ