Deanna Henriksen
MAT 1033.0M7
Name:_Chloe Jones_
MAT 1033 Worksheet 1
Be sure to show all your work for full credit. NO WORK, NO CREDIT. Due by 6pm on Sunday, September 3rd.
1. Use the table below to write f (x) in the form f (x) = ax+b.
x
-5 -1 0 3 8
f(x
The Fundamental Theorem of Calculus
gtgt;
. . 33;
Suppose f IS continuous on [a,b] WV
mat/s V
1- \M: I for) 012, then 5? :(x) = f (x)
R W
3; h
2. [5:31:00 dx: F (b) - F(a) ? mg % b:
Where F(x) is any antiderivative of f(x), that is F(x)=f(x).
m *2: mm
5.5 The Substitution Rule @2333?
In this section we reverse the Chain rule of
differentiation and deriye a method for solving integrals
called the method of substitution. Recall the Chain rule of '
differentiation says that.
iF(g(X)=F'(g(x)g'(x) => [F'(
1
Section 11.10 Taylor and Maclaurin Series
Which functions have power series representation? How can we find such
representations?
We start by supposing that f is any function that can be represented by a
power series.
f ( x) c0 c1 ( x a ) c2 ( x a )2 c3
11.4 The Comparison Test
Suppose Zan and 2b are series with positive terms series.
a) If an converges and an S bn V n, the Zan converges.
b) If 2b diverges and an 2 b V n, the Zan diverges.
00 00
2. Determine Whether the series 2 kangzszgg ,
00
f
11.7 Strategy for Testing Series ) it \f/
I I \kkOVVMQ/wb
Test the series for convergence or divergence. L/Ud\
1 w 4 " i \f\a Li .,
1. 21 n + 3n 3 ._ g h /
x 4: L;
3' W 3
cfw_>13 on
1- _L a: L is Ck WMNZNA'
M .
*3 3 o M *4 Q L
2 th 0g, genes AMBHv
V: Y3
NAME
1. Evaluate
00
. 3 n2
2. Determine whether the sequence converges or divergent. cfw_ 2
at:
15 6213mm, zamgq \5
LAW (1%
W
W
/
Instructor: Angel Nieves Test 2 Cal 2 Spring 2017 Determine whether the series is:
o Convergent by which t
NAME: Instructor: Angel Nieves
DIRECTIONS: Show all your work neatly and super clear in the space provided to receive partial credit for
incorrect answer and full credit for correct answer. Quiz 1 Ca
5 E
1. Evaluate theintegral J(2xV3)(4,x2+l)dx : 3 ijrmv
10. Calculus with Parametric Curves
b '3;
Tangents
Suppose f and g are differentiable functions and we want to find the tangent line
at a point on the curve x = f (t) , y = g(t)where y is also a differentiable function
of x. Then the Chain Rulg'gives
if
50
(at
i
NAME Instructor: Angel Nieves
DIRECTIONS: Show all your work neatly and super clear in the space provided to receive
partial credit for incorrect answer and full credit for correct answer. Test 3 Cal 2 2017
1. Find the radius of convergence and i
10.1 Curves Defined by Parametric Equations 7
Mia
Imagine that a particle moves along the curve C.
It is impossible to describe C by an equation of the form y = f (x) because C fails
the vertical Line test. But the xand y-coordinates of the particle ar
NAME Instructor: Angel Nieves
DIRECTIONS: Show all your work neatly and super clear In the space provided to receive partial credit for
incorrect answer and full credit for correct answer. Test 1 Calculus 2
2 _ 4 1L Ll
1. Evaluate I x 3" dx a cfw_g m- IL
1
Calculus 2
Section 6.3 Volumes by Cylindrical Shells
Calculus 2.sec6.3
Find the volume of the solid of revolution formed by revolving the region bounded, about the
y-axis.
We need the Shell method
Let
r2 = Outer radius r1 = Inner radius
V = 2 ( average
NAME:
Instructor: Angel Nieves
DIRECTIONS: Show all your work neatly and super clear in the space provided to receive partial credit for
incorrect answer and full credit for correct answer. Quiz 1 Ca
5
1. Evaluate the integral
( 2 x 3) ( 4 x + 1) dx
2
0
Math 135 Lab 3 Binomial Distribution and Central Limit Theorem
Binomial distribution investigation:
For this section you will use StatCrunch in MML. Use the following menu items: STAT->Calculators>Binomial. With the Binomial distribution you are to use th
Goma Gazmer
Math 135
12/5/2016
Math 135 Final Project
Section 1: Data Selection and Prep Work
In the sampling methodology, the researches have used the random sampling
method, because all the people in the small groups were included in the survey. I
think
In the journal article, Comparison of commercial and self-initiated weight loss programs
in people with prediabetes: A randomized control trial, the researchers examine if a
widely available weight management program (Weight Watchers Intervention Group)
c
Math 135 Lab 2 M&M Probabilities
I.
Conducting the Experiment
1. The total number of M&M in the packet 57
2. Brown -6
Yellow 14
Red 7
Orange 12
Green 11
Blue 7
3. Largest quantity Yellow Color
Smallest Quantity Brown
I did not expect to find equal numbers
MAT 1033
COMMON FINAL REVIEW PACKET
1.
Determine whether the relation is a function.
Give its domain and range.
x
3
y
6
Is the relation represented in the table a
function?
Yes
No
3
1
3
2
The domain is cfw_ _ .
3
3
(Use a comma to separate answers as ne
Syllabus, Review Material (1.1 1.5) and Introduction to MyMathLab
Homework 1 is due: _
Quiz 1 is due: _
Calculator Skills: Well practice with the graphing calculator throughout the semester. For now, just play around
with how to do regular calculator stuf
Review for Test Three
The review quiz for test 3 is available all semester, but you should take it before your test. Take it
several times, as each time you take it, you will get slightly different questions.
If you make a 90% or better on your review qui