Calculus
Parametric Equations
Calculus
Forward or Positive Orientation
THEOREM 10.1 Derivative for Parametric Curves
Calculus
Calculus
Polar Coordinates
Calculus
Circle in Polar Coordinates
Symmetry in Polar Equations
Calculus
THEOREM 10.2 Slope of a Tang
Calculus
Sequences
Limit of Sequence
Calculus
Calculus
Sequence of Partial Sums
Calculus
THEOREM 8.1 Limits of Sequences from Limits of Functions
Calculus
THEOREM 8.2 Properties of Limits of Sequences
THEOREM 8.3 Geometric Sequences
If the limit = 0 the
Calculus
THEOREM 5.1 Sums of Positive Integers
Let n be a positive integer
Sum of a constant c
Sum of the first n integers
Sum of squares of the first n integers
Sum of cubes of the first n integers
Left, Right, and Midpoint Riemann Sums in Sigma Notation
Calculus
Rates of Change and the Tangent Line
The average rate of change in f on the interval [a,x] is the slope of the
corresponding secant line:
On interval [a,a+h]:
The instantaneous rate of change in f at x=a is
Which is also the slope of the tangent
Calculus
THEOREM 4.4 First Derivative Test
Suppose that f is continuous on an interval that contains a critical point c and
assume f is differentiable on an interval containing c, except perhaps at c itself.
If f changes sign from positive to negative as
Outline
Thesis: The development of the various fields of mathematics and the contributions of culture
throughout the world and time, has made mathematics the field it is today.
I.
II.
III.
IV.
V.
VI.
Concepts of numbers, quantities and number systems
A. D
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First Name
Last Name
Possible
Question 1
15
Question 2
4
Total
19
LoudCloud Grade
Your score
15
4
19
15
Cost
Focus
Prius
$ 15,800.00 $ 23,380.00 Focus
MPG Highway
MPG City
37
27
48
51
Miles driven Hwy
Miles driven City
7100
5600
Price per gallon
Total Gal
Location
Budget Total:
ROME
Transportation
Item
Description
plane
bus
(Add rows as needed)
Item
Description
sleep'n go hotel
(add rows as needed)
Item
Description
fast food and tourist
fellini resturante
(add rows as needed)
Qty
Price each
Total price
Sou
Vi Tran
Heat Equation
2
2
Tt=
a)
2
2
( 6 Ktz y x ) e
3
2
2
( x 2 Kt ) e
T xx=
2
x + y + z
4 Kt
3
2
5
2
32 t ( Kt )
2
2
x + y + z
4 Kt
2
3
32 2 t 2 K 2 ( Kt ) 2
2
2
T yy=
( y 2 Kt ) e
2
x + y + z
4 Kt
3
2
3
32 2 t 2 K 2 ( Kt ) 2
2
T zz =
2
x +y +z
4 Kt
2
2
Vi Tran
Project week 9:
A Connection Between e and
In this problem you will derive one of the remarkable formulas of mathematics, namely that
A. Change the following double integral into polar coordinates and evaluate it:
2
Since (0 ) , the integral is w
Vi Tran
Shooting a Basketball
A. We begin by separating the initial velocity into its
x
and
y
components.
V x =V cos ( A)
V y =V sin ( A )
As there is no force acting in the
x direction, the position of the basketball in the
direction is:
x=( V cos ( A )
Vi Tran
MAT-264
Project Week 3: A Heater in a Room
a) The window is located somewhere between 15ft to 25ft. I think it is 15ft because there is the low
temperature there.
b) Window is opened from t = 16 hrs.
c) The heater turned on at t = 20 hrs.
d) Draw
Vi Tran
Shooting a Basketball
A basketball player shoots the ball from 6 feet above the ground toward a
basket that is 10 feet above the ground and 15 feet away horizontally.
(a)
Suppose she shoots the ball at an angle of degrees above the
horizontal
with
Conservation of Energy
A. A particle moves with position vector t r ( t ) =x ( t ) i + y ( t ) j+z ( t ) k . Let v ( t ) and
2
1 d
a ( t ) be its velocity and acceleration vectors. Show that
v ( t ) =a ( t ) v ( t ) .
2 dt
v ( t )=x i + y j + z k
a ( t )=
Vi Tran
STG 110
Timothy Kelley
I came up this water project because of my own experience with the lack of clean
and good taste drinking water in the dorm. I thought if me and some of my friends could
start a little deliver water business around campus the
Name
First
Last
Possible Your Score
Question 1
6
6
Question 2
5
4
Total
11
10
Score for LoudCloud
13.6
Year
Withdrawal Rate
Inflation Rate
Rate of Return
Initial Savings
Part B Answer
Part C Answer
$
$
6%
2%
3%
620,200.00
354,691.57
2
Possible
Your score
First Name
Last Name
Possible
Question 1
15
Question 2
4
Total
19
LoudCloud Grade
Your score
15
4
19
15
Cost
Focus
Prius
$ 15,800.00 $ 23,380.00 Focus
MPG Highway
MPG City
37
27
Miles driven Hwy
Miles driven City
Price per gallon
48
51
10200
8500
$
Total
First Name
Last Name
Question 1
Question 2
Total
Score
Possible Correct
8
8
9
9
17
17
15
Year
Total
Commuter Resident
population % change Commuter Resident population population
1980
4000
67%
33%
2680
1320
2000
4320
8%
92%
8%
1382
2938
2010
4190
-3%
12%
8
FIRST
YOUR NAME
LAST
YOUR SCORE
# Correct Possible
Q1
23
23
Q2
6
6
Total
29
29
POINTS in LOUDCLOUD
15
Continent
Area (mile)^2
Proportion of Total Landmass
Population
Proportion of Total Population
Density: People/mile^2
Asia
Africa
NorthAmerica
16920000
1
Cancer Research Project
1
Cancer Research Project
The medical field has a wide variety of areas to study. Countless amount of research and clinical
studies have been conducted on almost every topic possible to ensure that patients are receiving the most
e
1
Anita Dicks
ENG-105
September 5, 2015
Professor Tennille Feldbush
Excuse/Profit: ADHD Diagnosis
The incidence of ADHD is rising more and children are being diagnosed with this
disorder more now than the 1980s. According to (Stolzer, 2012) the epidemic d
Anita Dicks
ENG-105
July 28, 2015
Tennille Feldbush
Analyzing CDC
The reason for the Center for Disease Control and Preventions website is to get the
public to understand more about this disorder. ADHD has affected so many children in the
United States an
Citizens Are Watching the Artifacts
Posters of Promotion U.S.
By:
Anita Dicks
Nataisha Thomas
Benjamin Chon
COM-231
Professor Wenching Liao-Duffy
Influencing the Views
American Posters was used to support those in the war as well as
the greater public suc
Alternative to Incarceration
Anita Dicks
JUS-330
June 25, 2017
Professor Theresa Cruz
Alternative to Incarceration
2
Alternative to Incarceration
In different states, misdemeanors are put through recognizable classifications. The
classifications are norma