Conics are everywhere. You can find them in architecture, technology,
as objects, and even in the open. One of the most commonly used
objects that people use every day is a CD which is a commonly know
Danielle is playing the newest app on her phone, Algebra City Defense. Earlier in the game, you
and Danielle helped the Mathonauts defend the city against a giant, three-headed monster. After
defeatin
Exam: 1.01 Functions and Their Properties
Score:
10 of 10 points
Answer Key
Question 1
(Worth 2 points)
Determine the domain of the function.
All real numbers
x>1
x1
All real numbers except 1
Points e
Assignment Name: _
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filling in the requested information, you may scan your work, attach it as a word
document, or take a
2.05b Writing about Polynomials
Rachel Backes
The Fundamental Theorem of Algebra states that every polynomial equation over the
field of complex numbers of degree higher than 1 has a complex solution,
Bad ScienceThe Health Benefits of Beer: 12
Reasons Why You Should Drink It
http:/anthonymartin.be/en/news-events/news/79-the-healthbenefits-of-beer-12-reasons-why-you-should-drink-it/
Conflict of Inte
Name
Date
Plan Ahead Exponentially Portfolio
Worksheet
PRECALCULUS
Part 1: Dream Big!
Its never too early to plan for your future. Even though you are just starting out in
life, it is valuable to lear
Rachel Backes
04/06/15
Mr. Mears
Pre-Calculus
4.05a Graphs of Sine and Cosine Functions
Choice 1
Describe each of the following properties of the graph of cosine function,
f(theta)= cos(theta) and rel
1.03
The year is 2033, and intelligent life has been found on Mars! Little green Martians have found their
way to Earth and have appointed you as the Ultimate Math Ambassador to their planet. You must
Rachel Backes
05/22/2014
5.3 Assignment
1. Theo's mistake is in the second step where he multiplied the top of the expression on
the left by (x+2). First of all it is not necessary to do that multipli
1. If it takes Brook 20 minutes to do a puzzle and it takes Jen 10
minutes to do the same puzzle, how long would it take if Brooke
and Jen did the puzzle together?
2. 1/20+1/10
3.
a. 1*1x/20*1x = 1x/2
The Law of Cosines is
c = a + b - 2abcos(theta).
It has four variables; a, b, c and a symbol called theta which looks like a circle with a line
in the middle.
Whenever you have a triangle with three o
Your favorite math magazine has recently published an article on their website about
whether solving systems of non-linear equations is easier by graphing or algebraically.
You decide to write an emai
*05.10 Honors Project
By Rachel Backes
*Task 1
*Complete the following exercises by applying polynomial identities to complex numbers.
*Factor x2 + 64. Check your work.
* I will apply the polynomial i
2.05b Writing About Polynomials
How could you use Descartes' Rule and the Fundamental Theorem of Algebra to predict the
number of complex roots to a polynomial, as well as find the number of possible
Sample Work
1-1
1) D: (-2,1,2)
R: (-4,2,4)
No, because the same x value cannot share y values
1-2
f(x) = 2x 1
g(x) = x^2+3x-1
2) A. (2x 1) + (x^2+3x-1) combine like terms
x^2 + 5x -2
B. (2x 1) - (x^2+
Examples of conic sections in the real world
Parabola
Circle
Ellipse
Discription: A bridge is also great real life depiction of a porabola . They can also be percived beyond its
means of transport ; i
Exam: 5.07 Module Five Test
Score:
78 of 100 points
Answer Key
Question 1
(Worth 6 points)
Rewrite with only sin x and cos x.
sin 3x - cos x
2 sin x - sin3x - cos x
2 sin x cos2x + sin x - 2 sin3x - c
Exam: 5.01 Using Fundamental Identities
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You are allowed to reset this exam 2 more time(s).
80
Score:
8 of 10 points
Exam: 1.02 Graphs of Functions
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You are allowed to reset this exam 1 more time(s).
You have already reset the exam 1
Exam: 4.01 Angles and Their Measures
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You are allowed to reset this exam 2 more time(s).
100
Score:
10 of 10 points
Exam: 2.03 Real Zeros of Polynomial
Functions
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You are allowed to reset this exam 2 more time(s).
100
Score:
10 of 1
Exam: 1.04 Inverse Functions
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You are allowed to reset this exam 2 more time(s).
100
Score:
10 of 10 points
Answer K
Exam: 2.05a Fundamental Theorem of
Algebra
Score:
10 of 10 points
Answer Key
Question 1
(Worth 3 points)
State how many imaginary and real zeros the function has.
f(x) = x3 - 20x2 + 123x - 216
0 imagi
Jordan Matthew
The Amplitude of f(theta) = cos(theta) is 1. This means the graphs minimum and maximum
values will be 1, -1. The Graph will go up and down like if a circle was cut in half and one side
Jordan Matthew
Law of sines should be used when multiple angles and one side or multiple sides and one angle. If there
is only one given angle one of the sides must be opposite of the given angle. The
Descartes' Rule:
A way to find zeros through counting the change in between signs.
Fundamental Theorem of Algebra:
A theorem that states numbers with powers greater than or equal to 1 have at least 1
My type is in red.
Choice #1: Describe each of the following properties of the graph of the cosine function, f(theta) =
cos(theta), and relate the property to the unit circle definition of cosine.
Amp