2.1 TANGENTS AND VELOCITIES
A line between two points on a line is called the
secant line. The average rate of change of a function
on an interval is the slope of the secant line.
The line at a point is called the tangent line.The
instantaneous rate of ch
3.9 RELATED RATES (2 days)
1- Rate(s) are given
Draw a diagram
Give variables to all parts of the picture that are moving do not
put any numbers that are not constant on this diagram
2-
A related rate that needs to be found
Get an equation relating the va
3.6 DERIVATIVE OF LOGARITHMS
d (ln x )
dx
d (log a x)
dx
d (ln u ( x)
1
x
dx
1
x ln a
u ' ( x)
u ( x)
Definition
e lim(1 1 x )
e lim(1 x)
1
x
x 0
x
x
LOGARITHMIC DIFFERENTIATION
Type I Using properties of logs to simplify
before differentiating.
Type II
Douglas, Diamond
At the age of twelve my family and I went to South Carolina for summer vacation. My
cousin brought a friend from school on vacation with us. Her name was Sam and she seemed to
be very nice. We hung out and had sleepovers every night in ea
MATH 151
Mrs. Bonny Tighe
1.
QUIZ 2A
NAME _
2.5 2.6
25 points
TA_ Wed 2/21/2016
State all points where the function is discontinuous and give the reason why.
2. How large do we have to take x so that
1
0.01?
x
3. Find any points of discontinuity for the
Quote: Personal integrity is not a quality were born to naturally. Its a quality of character we
need to nurture, and this requires practice in both meanings of that word (as in practice
the piano and practice a profession). We can only be a person of int
MATH 151
Mrs. Bonny Tighe
QUIZ 3A
25 points
2.5,2.6,2.7
NAME_
TA _ Wed 2/17/2016
Use the definition of a derivative only on this quiz, no formulas.
1. Find any points of discontinuity for the given functions. State if they are removable or
non-removable.
MATH 151
Mrs. Bonny Tighe
1.
QUIZ 3A
NAME_
25 points
2.7-3.1
TA_ Wed 9/28/2016
Find the equation of the derivative of the function g ( x ), g ' ( x ) , using the
definition of derivative.
g (x ) =
1
2x 1
2. The cost (in dollars) of producing x units of a
MATH 151
Mrs. Bonny Tighe
1.
QUIZ 3
NAME_
25 points
2.7-3.1
TA_ Wed 9/28/2016
Find the equation of the derivative of the function g ( x ), g ' ( x ) , using the
definition of derivative.
g (x ) =
1
2 3x
2. The cost (in dollars) of producing x units of a c
In the next paragraph, describe your thoughts on "race." Is your race a
significant part of your identity? What do you think about the statement:
"race is a social construct"? How does race exist and manifest itself? Also, in
terms of the questions above,
Oxana Samoila
MAT2210
02/24/2017
Chapter 5 (pt 1) Extra Practice / Homework
1 Consider the following distribution of blood types in the U.S.
Blood
percent
type
A
40
B
11
O
45
AB
4
a
What percent of the U.S. population have type AB?
P(AB) = 1-0.96 = 0.4 or
Oxana Samoila
MAT2210-DL01
02/10/2017
Chapter 4 - Extra Practice / Homework
1 Researchers continue to look for methods to estimate how fast a car was traveling before an
accident. Most methods focus on the distance to completely stop a car at various spee
Oxana Samoila
Mat2210-DL01
01/26/2017
Chapter 2 - Extra Practice / Homework
1
age
under 30 30-49 50 and over
27
37 31
blood low
Blood Pressure and Age The following table
pressur
summarizes the blood pressure of a group of
normal 48
e
employees according
Oxana Samoila
MAT2210-DL01
02/05/2017
Chapter 3 - Extra Practice / Homework
8 Car Thefts Last summer, an insurance company researcher conducted a survey on the
number of car thefts in a large city for a period of 30 days. The stem and leaf display shows
t
Oxana Samoila
MAT-2210-DL01
01/26/2017
Chapter 1 - Extra Practice / Homework
1
The State Education Department requires local school districts to keep these records on all
students: age, race (or ethnicity), days absent, current grade level, standardized t
CHAPTER 4 LAB
Line A is pointing at what type of cell?
ANSWER:chondrocyte
In the image, line A is pointing at what structure?
ANSWER: osteon
In the image, line A is pointing at what structure?
ANSWER: osteocyte
Which kind of cartilage matches the location
Question 1
5 out of 5 points
When each member of a population has an equally likely chance of being selected for a study, the
resulting study members are collectively referred to as a
Selected Answer: a.
random sample
Response Feedback: Correct!
Question
Question 1
5 out of 5 points
If each score is counted and each score's frequency is individually recorded, what kind of distribution
is that?
Selected Answer: a.
Simple
Response Feedback: Correct!
Question 2
5 out of 5 points
The symbol "i" represents
Se
Math 225: Calculus
Winter 2017
Homework #2 Solutions
Problems
Section 2.3: 2, 10, 24, 32
Section 2.4: 6, 18, 36 (the second domain should be 2 x < 3), 42
Section 2.5: 4, 24, 36, 42 (do not submit graph)
2.3.2 The graphs off andg are given. Use them to
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MOTION
GENERAL APPROACH :
Any motion is relative and, hence, has to be described in a certain frame of reference.
To describe motion means to define a function of
position (coordinate r) versus time t.
The plot of this function is called trajectory
Vector
INTRODUCTION TO PHYSICS
SCALARS & VECTORS :
Scalar is a parameter which is characterized by magnitude only.
Notation: a, b, etc.
Scalar operations obey algebra rules: a + b = b + a ; ab = ba
Vector is a parameter
characterized by magnitude and direction.
LAB SESSION 2
THE FORCE TABLE: STATIC EQUILIBRIUM
The purpose of this lab is to gain experience working with vector quantities.
Discussion:
For this lab you will use
an instrument called a
force table. A ring is
placed around a pin in
the center of the fo