Name:
U3BB2D5 Rational Function
Real-world Problems
October 14, 2016
Class
Period:
Score
Scenario 1: POLLUTION A cost-benefit model may be used to express the cost C of cleaning up environmental
pollution (in thousands of dollars) as a function of the per
Name:
U3BB2D1 and D2 Solving
Rational Equations
October 6 and 7, 2016
Class
Period:
Score
Objective: I can solve rational equations and check for extraneous solutions.
Directions: Solve _ of the rational equations and check for extraneous solutions.
Colum
Name:
U3BB2D4 Rational Function
Real-world Problems
October 13, 2016
Class
Period:
Score
Directions: Select 4 work problems and 4 distance-rate-time problems.
1. Jill can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it
U3BB2D1 and D2 Solving Class
Rational Equations Period:
October 6 and 7, 2016
b'e 've: I c olve rational nations and checkf r e neou 01 tion .
Directions: On your own paper, solve the rational equations. Be sure to check for extraneous solutions.
This w
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provided, or performed by, Sea Scout Base Galveston, d/b/a Galv
Introduction to Electricity
Principles of Engineering
2012 Project Lead The Way, Inc.
Electricity
Movement of electrons
Invisible force that provides
light, heat, sound, motion . . .
Electricity at the Atomic Level
ElementsThe simplest form of matter
Ato
Activity 1.1.2 Simple Machines Practice
Problems
Introduction
In the last activity, building and using simple machines and making measurements of
forces and distances gave you concrete examples using mechanisms. Just from a
good sketch, however, an engine
2.1 FUNCTIONS
Definition of a function: A relation that associates with each element of x exactly one y.
A function also passos the vertical line test.
Determine whether the relation is a function:
Person Birthday Hours worked Salary
Elvis > Jan 8
Col
0 LAW OF COSINES IS USED WHEN GIVEN THREE SIDES (SSS) OR TWO SIDES AND AN INCLUDED ANGLE {SAS).
Given the following triangle the LAW OF COSINES FORMULA IS THE FOLLOWING:
a2 : b2 +c2 _2bcCosA
ES
3?
112 : aim: 3' E 5:595! A;
a» W x /a
, Law-4:;jfi m J
c
7.] RIGHT TRIANGLE TRIG
Q RECALL: SohCahToa
We will be using side to find angles and angles to find sides!
Find the exact value of all 6 trig functions below:
?
Sine: jg? 0306 = E
a. g
0039 = 9: 3906' =
I?
tanB = 1"; Gail? = i
We will also use ratios t
[ 2.3 PROPERTlES OF FUNCTIONS ]
1. Determining EVEN and ODD functions from a graph
The words EVEN and ODD when applied to a function describe the symmetry
' ' that exists.
EVEN FUNCTIONS ARE SYMMETRIC WITH RESPECT TO THE YvAXIS
Recall from last chapter,
7.2 LAW OF SINES
LAW OF SINES IS USED TO SOLVE TRIANGLES THAT ARE m RIGHT TRIANGLES ~-THEY ARE OBLIQUE TRIANGLES.
WE WILL ALWAYS LABEL AN OBLIQUE TRIANGLE SC) THAT:
SIDE '3' IS ALWAYS OPPOSITE <A
SIDE b' IS ALWAVS QPPQSETE <3
SIDE 'C' IS ALWAYS OPPOSITE <
EX: Find the dot product 1) - w, the angle between v and w, and state Whether the vectors are parallel,
orthogonal or neither.
1.v=i+\/§jandw=ij /V/: ':Z_
VW m We a / J?
N W; "i"! I
c 0 g- au- 22%- / -«";?;';g:«;y;iiin3
2. v=i andwzSj
v: u + 0;}; W w
8.2 CONVERTING BETWEEN POLAR AND RECTANGULAR COORDINATES AND EQUATIONS ]
.1- RECALL THE TRIANGLE:
c039: m x=rcos
KIR
r y sin6=¥ :> y=rsin6
Using the above relationships convert the following polar coordinates to rectangular coordinates. Try
graphing th