Math 270
Name_
Lab #7
This week, we study Laplace Transforms, one of the most useful transforms in all of mathematics,
because it allows us to move from the differential domain to an algebraic domain, operate
algebraically to a solution, and then transfor
MATH260Week 4 Lab
Name: Andy Nguyen
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
Math 270
Name_
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 will look at three methods
Math 270
Name _
Lab #5
Solutions of Diff. Eqns., Separation of Variables, 1st order Linear Diff. Eqns., Elementary applications
SHOW ALL WORK TO EARN FULL CREDIT. Note that providing only an answer earns
approximately 1/3 credit .
1.) Determine the order
MATH260Week 4 Lab
Name: Kong Lee
Part I: The Trig Derivatives MOST OF THE PROBLEMS IN THIS SECTION CAN BE SOLVED BY
HAND. IF YOU USE WOLFRAM, INSERT SCREEN SHOT. IF YOU USE TI-89, SAY SO.
Although the derivative of each trig function can be found by using
Grade for Anthony Daniels: Week 1 Homework Numeric grade: 8/40 Letter grade: Comments: Did you know that you can continue to work on the assignment (and rework the assignment) unlimited times throughout the week it is assigned? Next week I challenge you t
MATRH260Week 7 Lab
Name:
Kong Lee
Logarithmic Integrals
Examine each example below then answer questions 13.
Integral:
1
x dx
Solution: ln |x|
Integral:
Integral:
Solution:
2x
x2 + 4 dx
Solution: ln |x 2+4|+C
ln |x +3|+C
Integral:
+C
1) What is the f
MATH260Week 6 Lab
Name:
Andy Nguyen
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 below a
Math 260 - Week 3 Lab
Andy Nguyen
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
MATRH260Week 7 Lab
Name:
Andy Nguyen
Logarithmic Integrals
Examine each example below then answer questions 13.
Integral:
1
x dx
Solution: ln |x|
Integral:
Integral:
+C
2x
x2 + 4 dx
Solution: ln |x 2+ 4|+C
1) What is the formula for finding
Solution:
MATH260Week 5 Lab
Name: Andy Nguyen
Category 1: Derivatives of Exponentials:
eu
Directions: Look at the examples below and answer the question.
f(x) = ex
f (x) = ex
2
f(x) = e5x
f (x) = 5e5x
f ( x)=4 e x
f ' (x)=8 x e x
3
f (x)=e x 2 x
f ' ( x)=(3 x2 2)e
Math 260 - Week 2 Lab
Name:
Andy Nguyen
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,
Name: Nguyen, Andy
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
Lab 3: Curve Sketching with Calculus
[Submit to Dropbox As A Word or PDF File. Scan or Insert Photo OK. Hand-written preferred; does
not need to be typed. I would print this document after inserting the graph, then do work by hand.]
In calculus, much effo
LAB 1: PRACTICE SOLVING LIMIT PROBLEMS WITH WOLFRAMALPHA
Solve the following problems using wolframalpha.com. Put your solutions in one word document, as
screen shots. Submit the document in the Week One Dropbox, calling it Lab One_<your last name>. I
wil
MATH260Week 5 Lab
Name: Kong Lee
Category 1: Derivatives of Exponentials:
eu
Directions: Look at the examples below and answer the question.
f(x) = ex
f (x) = ex
2
f(x) = e5x
f (x) = 5e5x
f (x)=4 e x
f ' (x)=8 x e x
3
f ( x)=e x 2 x
f ' (x)=(3 x22)e x 2 x
MATH260Week 6 Lab
Name:
Kong Lee
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 below an
[Type text]
Math 270
Name _
Lab #3
Topics: Series, Operations, and Computations with Series, Maclaurin, Taylor
SHOW ALL OF YOUR WORK AND highlight your answers. Note that an answer
without supporting steps earns approximately 1/3 credit.
1.)
Find the firs
Math 270
Name _Kong Lee_
Lab #4
The Taylor and Fourier Series are among the most important ideas in mathematics that you
will encounter during this class. Remember to SHOW ALL YOUR WORK TO EARN
FULL CREDIT, because providing only the answers will earn app
Math 270
Name _
Lab #6
Higher order homogeneous and non-homogeneous Differential
Equations, with distinct, repeated, or complex roots
Show all work for full credit.
1.)
y + 7y+ 12y = 0
Find the general solution by solving the auxiliary equation:
y' + 7y '
Math 260 - Week 2 Lab
Name:
Kong Lee
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 q