l
Math 260 -Week1 Lab Name: Tedd, Saladyga em l
. ‘ A 1‘ i
Partl—Limits QOOWP Miro/mt
» x , /
Y‘wa (’(IY )ﬂﬁywv {I .
T.e limit of a function is a way to see the value that the function approaches as a variable I . that
function gets close to bu. not nec
Math 260 - Week 1 Lab
Name:
Jonathon Poe
Part I Limits
The limit of a function is a way to see the value that the function approaches as a variable in that
function gets close to but not necessarily equal to some other valueThe four ways we have looked
at
MATH260Week 4 Lab
Name:
Part I: The Trig Derivatives
Although the derivative of each trig function can be found by using trig identities and the formula
f ( x+h)f ( x)
lim
, it is far simpler to memorize them because they will be used in many of the techn
Math 260 - Week 2 Lab
Name:
Jonathon Poe
f ( x +h )f (x )
to find a derivative each time is a long process and
h
h0
often cumbersome. But, there are a few algorithms that work perfectly for finding derivatives. They
are the power rule, the product rule, t
Math 260 Week 1 Lab
Name:
Part I - Directions: For each category of problem type you are provided several problem
questions and the correct answer. Look at the example questions and answers you are
provided and determine how the answers were arrived at. T
Math 260 - Week 2 Lab
Name:
As we have seen, using to find a derivative each time is a long process and often cumbersome.
But, there are a few algorithms that work perfectly for finding derivatives. They are the power rule,
the product rule, the quotient
Name
Part 1: Given the picture below answer the following questions:
1) The graph above is for the function. If you did not have the picture to look at but
wanted to sketch it what points on the graph would be valuable points to know the
locations of? The
Name: Michael Shaw
Math 260 - Week 1 Lab
Part I Limits
The limit of a function is a way to see the value that the function approaches as a variable in that
function gets close to but not necessarily equal to some other value The four ways we have looked
a
Math 270
Name Adebayo Mike Adeniyi, _
Lab #1
While the integral fills an area with an infinite number of rectangles and sums the areas to get
an exact area under a curve, there are many methods for finding an approximate area under a curve
as well. We wil
-i w in" \ a .
Math 260 -Week 3 Lab Name: Todd Saladyga i/ g) l l
‘ ’ ' U
In calculus, much effort is devoted to determining the behavior of the graph of a function over an
interval on the Cartesian Plane.
Finding x it y intercepts. asymptotes. interv
Math 260 - Week 7 Lab
Name:
Category 1: Area Under a Curve Part II
Recall from Lab 6:
0 < , if f(x) is integrable and above the x-axis on [a,b].
That is, all areas are positive unless the area is beneath the x-axis. If the area is below
the x-axis, it wil
Math 260 - Week 2 Lab
Name:
f ( x +h )f (x )
to find a derivative each time is a long process and
h
h0
often cumbersome. But, there are a few algorithms that work perfectly for finding derivatives. They
are the power rule, the product rule, the quotient r
Math 260 Week 2 Lab
Name_Linneth Freire_
Directions: For each category of problem type you are provided several problem
questions and the correct answer. Look at the example questions and answers you are
provided and determine how the answers were arrived
Math 260 - Week 3 Lab
Name:
In calculus, much effort is devoted to determining the behavior of the graph of a function over an
interval on the Cartesian Plane.
Finding x & y intercepts, asymptotes, intervals of increasing or decreasing, local maximum and
MATH260Week 6 Lab
Name:
Adebayo Adeniyi,
Antiderivatives
According to the first part of the fundamental theorem of calculus, the antiderivative reverses the derivative.
If f(x) is a derivative, F(x) is the antiderivative.
Directions: Look at the examples
Math 260 Week 2 Lab
Name:
Directions: For each category of problem type you are provided several problem
questions and the correct answer. Look at the example questions and answers you are
provided and determine how the answers were arrived at. Then, devi
Week 6 Lab
Name
Part 1 Directions: For each category see if you can devise the rule(s) that was used
to find the antiderivative/indefinite integral and then use it to find the
antiderivative/indefinite integral of te functions that follow.
Category 1: Ant
MATH260Week 4 Lab
Name: Jonathon Poe
Part I: The Trig Derivatives
Although the derivative of each trig function can be found by using trig identities and the formula
f ( x+ h)f ( x )
lim
, it is far simpler to memorize them because they will be used in ma
Math 260 - Week 2 Lab
Name:
Shelley Adkins
As we have seen, using to find a derivative each time is a long process and often cumbersome.
But, there are a few algorithms that work perfectly for finding derivatives. They are the power rule,
the product rule
Problems
Problem 9-18
Problem 9-20
Problem 9-21
Problem 9-23
Problem 9-24
Problem 9-25
Problem 9-26
Table 9-1
Problem 9-18
Heavy Metal Corporation is expected to generate the following free cash flows over the next
five years:
Year
FCF ($ million)
1
53
2
MATH260Week 4 Lab
Name:
Todd Saladyga
Part I: The Trig Derivatives
Although the derivative of each trig function can be found by using trig identities and the formula
f ( x+ h)f ( x )
lim
, it is far simpler to memorize them because they will be used in m
Math 260 - Week 5 Lab
Name:
Shelley Adkins
Category 1: Derivatives of exponentials: eu
Directions: Look at the examples below then answer questions 1.
f(x) = ex
f (x) = ex
f(x) = e5x
f (x) = 5e5x
1.) Describe in your own words what to do to find the deriv
Math 260 - Week 1 Lab
Name:
Part I Limits
The limit of a function is a way to see the value that the function approaches as a variable in that
function gets close to but not necessarily equal to some other value The four ways we have looked
at to find the
Math 260 - Week 1 Lab
Name: Shelley Adkins
Part I Limits
The four ways we have looked at to find the limit of a function are 1.) direct evaluation/substitution,
2.) simplification followed by direct evaluation/substitution, 3.) by examining graphs, and 4.
Math 260 - Week 7 Lab
Name:
Shelley Adkins
Category 1: Area Under a Curve Part II
Recall from Lab 6:
0 < , if f(x) is integrable and above the x-axis on [a,b].
That is, all areas are positive unless the area is beneath the x-axis. If the area is below
the
Math 260 - Week 5 Lab
Name:
Shelley Adkins
Category 1: Derivatives of exponentials: eu
Directions: Look at the examples below then answer questions 1.
f(x) = ex
f (x) = ex
f(x) = e5x
f (x) = 5e5x
1.) Describe in your own words what to do to find the deriv
Math 260 - Week 2 Lab
Name:
Nirfana Elshahawi
f ( x +h ) f ( x )
to find a derivative each time is a long process and
h
h0
often cumbersome. But, there are a few algorithms that work perfectly for finding derivatives. They
are the power rule, the product
Math 260 - Week 3 Lab
Name:
Dimitry Pigne
D40391722
In calculus, much effort is devoted to determining the behavior of the graph of a function over an
interval on the Cartesian Plane.
Finding x & y intercepts, asymptotes, intervals of increasing or decrea
MATH260Week 6 Lab
Name:
Dimitry Pigne
Antiderivatives
According to the first part of the fundamental theorem of calculus, the antiderivative reverses the
derivative. If f(x) is a derivative, F(x) is the antiderivative.
Directions: Look at the examples bel
Name: Dimitry Pigne
Math 260 - Week 1 Lab
Part I Limits
The limit of a function is a way to see the value that the function approaches as a variable in that
function gets close to but not necessarily equal to some other value The four ways we have looked
Math 260 - Week 5 Lab
Name:
Dimitry Pigne
D40391722
Category 1: Derivatives of exponentials: eu
Directions: Look at the examples below then answer questions 1.
f(x) = ex
f(x) = e5x
f(x) 4e x
f (x) = ex
2
f (x) = 5e5x
f '(x) 8xe x
f(x) e x
2
3
2x
f '(x) (
Math 260 - Week 2 Lab
Name:
f ( x +h ) f ( x )
to find a derivative each time is a long process and
h
h0
often cumbersome. But, there are a few algorithms that work perfectly for finding derivatives. They
are the power rule, the product rule, the quotient