RA Final Study Guide
Lauren Bourgeois
Final: May 10, 2017
1. R1: Let U=cfw_1,2,3,4,5,. . . , 10, A=cfw_2,4,6,8,10, B=cfw_3,6,9, C=cfw_1,2,3,8,9,10.
Perform the indicated operations.
(a) A B
(b) A B
(c) A0 C
(d) (A C)0
(e) (A B) C
(f) (A B) A
1
2. R1: Dete
Scientific Computing Homework #8
Lauren Bourgeois
Due April 21, 2017
Consider the dierential equation y 0 (t) =
y + 2cos(t), 0 t 10 and y(0)=1.
1. Find the exact solution of the dierential equation.
To find the exact solution of the equation, rewrite in g
Real Analysis, Spring17
Quiz # 1 (2/1/17)
This quiz is closed book and notes. Please write clearly and justify all your answers to receive full
credit.
Name:
Problem (10pts) Construct a truth table for the following statement:
(p) (p q).
1
Real Analysis, Spring17
Quiz # 5 (3/08/17)
This quiz is closed book and notes. Please write clearly and justify all your answers to receive full
credit.
Name:
Problem (10pts) For the set A = cfw_1
for your answers.
1
2n
| n N compute sup(A), inf(A). Give
Real Analysis, Spring17
Quiz # 4 (2/22/17)
This quiz is closed book and notes. Please write clearly and justify all your answers to receive full
credit.
Name:
Problem (10pts) By applying the triangle inequality prove
|a + b + c| |a| + |b| + c|,
1
for all
Real Analysis, Spring17
Quiz # 2 (2/8/17)
This quiz is closed book and notes. Please write clearly and justify all your answers to receive full
credit.
Name:
Problem (10pts) Consider the following relation on xyplane:
(x0 , y0 ) (x1 , y1 ),
iff
x0 = x1 .
Real Analysis, Spring17
Quiz #8 (4/12/17)
This quiz is closed book and notes. Please write clearly and justify all your answers to receive full
credit.
Name:
Problem (10pts) Given any bounded subset A of reals show that there exists a sequence
an of eleme
Real Analysis, Spring17
Quiz #7 (4/05/17)
This quiz is closed book and notes. Please write clearly and justify all your answers to receive full
credit.
Name:
Problem (10pts) Determine the limit of the seqeunce xn =
the limit to prove your claim.
1
n
.
n2
Real Analysis, Spring17
Quiz # 6 (3/22/17)
This quiz is closed book and notes. Please write clearly and justify all your answers to receive full
credit.
Name:
Problem (10pts) Determine if f : R 7 R, f (x) = ex 1 is onetoone, and onto. If the
function is n
Real Analysis, Spring17
Quiz # 3 (2/15/17)
This quiz is closed book and notes. Please write clearly and justify all your answers to receive full
credit.
Name:
Problem (10pts) Prove the following statement via contrapositive:
If n does not divide a b then
Exam 2 Math 1230 3/8/2016
Name_
Section _ Show all relevant work. Please do not detach any pages from the exam. There are 11
problems. There are two tables: An n= 25 trials table of cumulative binomial probabilities, and a table of
cumulative probabilitie
Exam 2 Practice Problems for Math 1230
The formula sheet for Exam 2 is at the end. There is an n=25 table of cumulative probabilities
for the binomial distribution at the end; use it where appropriate.
You should work through this practice exam without a
The Exam 1 Formula Sheet is placed at the end.
1) We have an urn with 1 red ball and 9 yellow balls. We will sample 3 balls form the urn with
replacement. What is the probability that we will obtain at least one yellow ball?
a) 0.001
b) 0.9500
c) 0.9999
d
Exam 1 Math 1230 2/10/2017
Name_
Section _ Show all relevant work. Please do not detach the formula sheet from the exam.
do not detach any pages from the exam. There are 10 problems.
Please
Seven Children
We have 7 children: A, B, C, D, E, F, G.
1) Referr
09-26-14
Linear Models
Questions
There were two questions after class. First, if the data are given by
= 0 + 1 +
then how are we modeling this with a linear model? Suppose we have five
measurements ( , ) = 1, , 5. If you then write
1
1
2
1
3
1
=
4
1
5
1