uSdentmN_a
Project2
Evaluation32
AmericanHistory2SSTH034059
ProjectInstructions
In this project, you will write an essay in which you express and defend a thesis (point of view)
about a historical topic. Select one of the following options. Your project s
uSdentmN_a
Project3
Evaluation33
AmericanHistory2SSTH034059
sHctoiThrem
In this project, you will trace the development of a theme in American history from the Gilded
Age through the turn of the twentieth-first century. Create a timeline in which you note
uSdentmN_a
Project1
Evaluation31
AmericanHistory2SSTH034059
ProjectInstructions
In this project, you will write an essay in which you express and defend a thesis (point of view)
about a historical topic. Select one of the following options. Your project s
uSdentmN_a
Project2
Evaluation32
AmericanHistory1SSTH033059
ProjectInstructions
In this project, you will write an essay in which you express and defend a thesis (point of view)
about a historical topic. Select Option 1, Option 2, or Option 3 (scroll down
Student Name:
I.D. Number:
Project2
Evaluation32
WorldCultures1:NorthandSouthAmericaandEurope
(SSTH053057)
InvestigatingAnotherRegion
This is the second project for this course that you will complete and submit for a grade. It is also
worth 13% of your ov
uSdentmN_a
Project1
Evaluation31
AmericanHistory1SSTH033059
ProjectInstructions
In this project, you will write an essay in which you express and defend a thesis (point of view)
about a historical topic. Select Option 1, Option 2, or Option 3 (scroll down
Student Name:
I.D. Number:
Project1
Evaluation31
WorldCultures1:NorthandSouthAmericaandEurope
(SSTH053057)
InvestigatingYourOwnRegion
This project is worth 13% of your overall grade for this course. Your assignment for this project is an
in-depth investig
uSdentmN_a
Project3
Evaluation33
AmericanHistory1SSTH033059
sHctoiThrem
In this project, you will trace the development of a historic theme in American history from the
colonial era through the turn of the twentieth century. Create a timeline in which you
Student Name:
I.D. Number:
Project 2
Evaluation 32
First Year Algebra 2 (MTHH 032 060)
Be sure to include ALL pages of this project (including the directions and the assignment) when
you send the project to your teacher for grading. Dont forget to put you
Student Name:
I.D. Number:
Project 1
Evaluation 31
First Year Algebra 2 (MTHH 032 060)
Be sure to include ALL pages of this project (including the directions and the assignment) when
you send the project to your teacher for grading. Dont forget to put you
12w? bra/HI): 5F jZQUC Efﬁe ﬂaw/1Q Logﬂflﬂmh Ema/law
First, let's look at a graph of the log function with base e.
The tangent at x = 2 is included on the graph.
The slope of that tangent of y z in x at x z 2 is 1/2. (We can observe this from the grap
CIRCLES and the Distance Formula:
Between two points, P1(x1,y1) to P2(x2,y2); to find :its
distance
Distance formula: d 2 ‘/(x2 —x1)2 + 022 —yr)2
Now for Circles: distance is the radius,r, from
center , point C(h,k) to any P(x, y) on circle:
= 1/(362 —x1)
Lie:- Cows
Let c be a number in the interval (a,b) and letfbe a function whose domain
contains the interval.
The functionf is continuous at c if all are true:
a. the function value-ﬁx) is defined (is. can be found)
b. the tim ﬁx) exists.
x46
0. fu)=hmju9
Point(s) of Intersection of Graphs are Solution pointls)!
Therefore, all (x,y) values must satisfy every equation.
F Break-Even Analysis
Cost ”C” and Revenue ”R”
If I}
For x items produced or sold, where will x result in equal cost and revenue?
Cost equat
Lines in the Rectangular Coordinate System
Slope (also called the "average rate of change") is deﬁned as:
:93 m=y2—y‘ wherequeO
m Ax x2“xl
Forms of the Equation of a Line:
1. point-slope
y — y,= m(x — x1) Need m slope and a P(x,y) to use.
2. slope-inter
Math 123~Applied Caiculus
Review 2
Larson:
Practice these study questions on a separate sheet of paper.
1. Use the iimit definition process to find the derivative of the following function; and determine the equation of
the tangent tine to the graph at po
SH
/
The Fundamental Theorem of Calculus
If f is nonnegative and continuous on the closed interval [on b], then
rm) dx = F(b) M Na)
where F is any function such that F’OC) = ﬁx) for all x in [55, b].
Guidelines for Using the Fundamental Theorem of Calculu
hi Chg will. F
g3, Math i23—Larson text
“Point of inflection" is the P(c, f(x) of the graph of the function, f, where either:
f"(c) : 0
or f"(c) is undefined (yet c is in domain of function, f)
in business application, is known as “point of diminishing re
(Jo/Ks latch
Math ﬁre-Applied Ceicuius Name
Curve Sketching R S
3. 7, Part A: text, page 233, #6, and #27. Part 8: response questions
Part A:
6. Without a graphing utility, determine if relative maximin (extrema) points, point(s) of
inflection, in
”ma/4')
Exponential, Logarithmic Summary information
Exponential function vs. Logarithmic function comparisons
the symbol 9 "if and only ii" ("iii") means true both ways. wand c:
liéééiéﬁériitLéIE§éiiéfi>1".ffff_l._f.f"1'fo:jff._'_§iifffjf“if:ff,iif if’f’
Math 123—Applied Calcuius
Review 3:
Chapter 3, 4.1-4.3
Larson, Spring 13
On separate paper, complete these sample problems. (Reminder.keep reviews for your
Comprehensive Final review.)
You will be asked on exam to show aii work to support your answers so
atﬁ"? Applied Calculus '
Review .
"C apier 3,414.3
Larson, Spriniéfg)
On separate paper, complete these sample problems. (Reminder.keep reviews for your
Comprehensive Final review.)
You will be asked on exam to show all work to support your answers so app
Math 123—Apptied Calculus
Curve Sketching ,_.A
3. 7-— Part A: text, page 233, #6, and #27. Part 5’: response questions
Part A: . _
6. Without a graphing utility, determine if relative max/min (extrema) pomts, pomt(s) of
inflection, increasing/decreasing
[pf/Vi nasal-e. 2):
b) How Things Change (pm-i)"
Why is mathematics, and calculus in particular, important? One of the main reasons
we study mathematics is because it helps us to understand the phenomena We experi-
ence in the world around us. This unders
"How Things Change”
How Things Change
With this chapter we begin our study of calculus—~one of the most important,
most useful, most used parts of mathematics-—with the derivative. In the world
around us, everything is changing, and the derivative tells
The Circle:
Two goals:
1. Given its equation in x and y, graph the circle, center, radius,
important points on circle.
2. Given its graph, write its equation in standard form and general
form.
‘I. x2 +y2 = 4
Center: Radius:
(x — 2)2 + (y + 1)2 = 4, this e
Math 123 Applied Calculus
Chapter 1, Limits
Find each limit (a)—(k), if it exists. State DNE, if the limit does not exist:
I 2 — l 2 = l 2 =
a) 11m x—l_ b) 111111 x—1 C) 11111 x—l
x—oI' x-.l
for 0) look
analytically:
2
11m x—l
x-vl
by Table of val