December 20, 2009
Factor the following polynomials.
=
(1)
2
(
9x
3 ( x = (3 x) = (3 + x)
2
2
Now let me try to explain what I did, 3nto the 2nd power would equal to 9 then you would minus x to the
2nd now the next factor is 3- x times which is the same as
Exponential and Logarithmic Equations and Properties
1. The formula S = C(1 + r)t models inflation, where
C = The value of today
r = The annual inflation rate
S = The inflated value t years from now
Use this formula to solve the following problem:
a. If t
MA1310: Module 4 Complex Numbers and Polar Coordinates
Austin Mailloux
1. B = 35
b = 9.262
c = 16.03
2. You will get 2 triangles
sin x = (7/5)sin 70 = 1.316, which is impossible. With angle A = 70 opposite the
side of length 7, the Law of Sines gives
sin
1. Find the exact value of:
a. sin 300
-sqrt(3)/2
b. tan (405) (Hint: 405 = 360 + 45)
1
c. 780 degrees
2. If sin < 0 and tan < 0, in which quadrant does lie?
In quadrant 1
3. Find the exact value of sin , if cos = 4/5 and lies in Quadrant IV.
= -3/5
4. De
MA1310 Lab 3
Austin Mailloux 7/15/16
1.
a.
A=1
b.
period=
c.
Period=
d.
Phase shift=
e.
Phase shift=
2
2
B= =2
B
C
C=2
B
f. What is the correct equation of the graph? ii y=tan(x+ ). y=tanx can
be completed on the interval ( , ) by using origin symmetry
Question 1: Match the point (-4, -PI/2) in polar coordinates with A, B, C, and D on the
graph. It matches with A.
Question 2: Find the Rectangular coordinates of the polar point (-5, 5pi/2).
The rectangular coordinates of (-5 5pi/2) are (0,-5),
X = r cos
MA1310 Lab 1
Austin Mailloux 6/15/16
Answer the following questions to complete this exercise:
1. The sequence shown below is defined using a recursion formula. Write the first four
terms of the sequence.
a1 = 13 and an = an 1 + 8 for n 2
a2 = a2 1 + 8
a2
MA1310 Module 3 Exercise
Austin Mailloux 7/17/16
1.
Find the exact value.
a. sin ( ) =
X
hypotenuse
b. cos ( ) =
y
c. tan ( ) =
x
y
d. cot ( ) =
x
,x 0
y
e. sec ( ) =
hypotenuse
, y0
y
MA1310 Module 3 Exercise
Austin Mailloux 7/17/16
2. Evaluate the follo
(30 points) We often use graphs of recent data to project what future data may bring. The following
graph is the graph of a cars value.
The car was purchased for $20,000. Each year, the cars value decreases by $2,800. We can use this to
project what the c
1. The following quadratic equation describes the average random access memory (RAM) installed, y, in
Gigabytes, on PCs t years after 2000.
a. Find the average RAM installed on PCs in the year 2007.
Year 2007 corresponds to so the equation would read .022
1. (30 points) The following formula describes the number of times, V, in
thousands, a video has been viewed. The variable, t, is time, in hours, after
the videos release. Answer the following questions showing all of your work.
= 2 + 13
a. = 21 + 13
V =
MA1210: Module 5 Polynomial and Rational Functions
Lab 5.1
Rational Functions and Inequalities
1. (30 points) You have 150 yards of fencing to enclose a rectangular region. One side of the
rectangle does not need to be fenced.
a. Write the equation for ar
Austin Mailloux 4/30/16
1. What test can we use to determine if a graph is a function or not? Explain in your
own words.
We can determine if a graph is a function by using a vertical line test because a
function can only have one output for each input.
2.
Module 4 Exercise
1.
The media access control (MAC) address of a network interface is a unique address. Each
network interface relating to its MAC fits the criteria of a function because each device has its
own unique MAC address. Describe an everyday sit
MA1210: Module 6 Exponential and Logarithmic Functions
Lab 6.1
Exponential and Logarithmic Functions
1. (10 points) Evaluate 4^1.5 Round your answer to three decimal places.
0.125
2. (10 points) The formula = (1 + ) models inflation, where
= The value to
MA1210: Module 5 Polynomial and Rational Functions
Exercise 5.1
1. (35 points) An electronics company is planning to produce a new, specialized calculator for a very
large, nationwide financial company. The fixed monthly cost of production will be $18,000
Lab
1. B=35 ,b=9.3,c=16
2. The measurements produce only one triangle
3. The distance between A and B is approximately 292 yards
4. You would have to navigate NW from Island B to get to Island C
5. A = 84ft
June 5, 2016
Lab
April 30, 2016
1. The sequence shown below is defined using a recursion formula. Write the first
four terms of the sequence.
a1=13a n=an 1 +8 for n 2
a2=21an =a1 +8
a3 =29a n=a 2+8
a 4=37an =a3 +8
2. Evaluate the fractional expression:
16 !
2 !14 !
20
Lab
June 30, 2016
1a.
Plan A: $40x
Plan B: 20 + 0.10y
1b.
20 + 0.10y > 40
If Y = 200 then 20 + 0.10(200) > 45 equals 40 minutes
If each call is a minute long, and you make 200 calls in a month. Your bill will be 40$,
which is the cost of the unlimited pla
Exercise
May 8, 2016
1. The formula S = C(1 + r)t models inflation, where
C = The value of today
r = The annual inflation rate
S = The inflated value t years from now
Use this formula to solve the following problem:
a. If the inflation rate is 4%, how muc
Lab
May 30, 2016
1. The graph of a tangent function is given below. Find the equation of the graph in
the form Y = Atan (BxC).
a. A = 1
b. Period =
2
2
c. Period = B B= =2
d. Phase Shift =
e. Phase Shift =
C
C=2
B
f. The correct equation is: ii
y=tan
Lab
May 8, 2016
1. Find the exact value of:
a.
sin 300
3
2
b.
Hint :405 =360 + 45
( 405 )
tan
1
13
=4 +
3
3
)
13
cot
3
Hint :
c.
( )
1
3
2. If
sin < 0 and tan <0 , in which quadrant does lie?
quadrant III
3. Find the exact value of
sin , if cos=
4
5
Exercise
1.
( x+ 2)2 (x1)2
+
=1 , Answer is B
9
4
2.
x2 y2
=1
36 81
3. A:
y=
( 5001 ) x
June 26, 2016
Vertex : ( 0,6 ) (0,6)
2
B: The reciever should be 125 meters the vertex
4. The truck is 21ft tall and 16ft wide and due to the shape of the archway, th
Exercise
May 30, 2016
1. Using the triangle above, find the exact value of the following:
x
a. sin ( ) = hypotenuse
b.
cos ( ) =
y
c.
tan ( ) =
x
y
d.
cot ( ) =
x
,x 0
y
e.
sec ( ) =
hypotenuse
, y0
y
2. Evaluate the following:
a.
1
1 5
+sin
2
13
( ()
sin
MA1310: Module 3 Graphs of Other Trigonometric Functions
Lab 3.1
Trigonometric and Periodic Functions
The purpose of this assessment is to help you determine whether you have a clear understanding of
trigonometric and periodic functions.
Answer the follow