Math 171 Homework 6
(due May 13)
Problem 42.3. Let X1 , . . . , Xn be a finite collection of compact subsets of a metric space
M . Prove that X1 X2 Xn is a compact metric space. Show (by example) that this
result does not generalize to infinite unions.
So
MA541 : Real Analysis
Solutions: Tutorial and Practice Problems - 5
1. (a) Suppose (X, ) is a metric space and A is a nonempty subset of X. Justify that (A, |A ), where
|A is the restriction of on A A, is a metric space. (A is called a subspace of X, and
9
DIFFERENTIAL EQUATIONS
DIFFERENTIAL EQUATIONS
We have looked at a variety of models
for the growth of a single species that
lives alone in an environment.
DIFFERENTIAL EQUATIONS
9.6
Predator-Prey Systems
In this section, we will learn about:
Models that
Written Assessment - Design
Instructions
1. You are provided with a set of questions.
2. You are required to research your answer to these questions and provide a
response.
3. Where practical, you should use a word processer to complete your
responses by
1.
Calculate the amount of simple interest earned.
$3,500 at 11% for 7 years
a $385
.
b $26,9
.
50
$53,9
00
d $24,5
.
00
e $2,69
.
5
c
.
4 points
Question 2
1.
Find the present value, using the present value formula and a
calculator.
Achieve $8,000 in thr
1. (1 pt) Evaluate the integral
2. (1 pt) Find the area enclosed by the given curves
3. (1 pt) Evaluate the integral
4. (1 pt) Find the moment about the x-axis of a wire of constant density that lies
along the curve y=2x from x=3 to x=0
5. (1 pt)
6. (1 pt
There are 25 problems.
Problems #112 are Multiple Choice.
Problems #1325 are Short Answer with work required to be shown.
MULTIPLE CHOICE
1. At Faber College, 20% of the students take Finite Mathematics, 30% take Statistics and 10%
take both. What percent
A common problem encountered in that solving for the equilibrium temperature distributions of a
thin plate of metal. One way of solving this type of problem is to solve a continuous-time dierential
equation that can be queries as a function of (x,y) for a
2
x
2
8
( 8 x )=( + 8(8)=64+64=0
()+ lim
1. (a)
x8
2
( x +8 x )=lim
x 8
lim
x 8
Thus,
(b)
lim h(x)=0
x 8
x 2
(1)2
( 8 x )=( + 8(1) )=18=9
()+ lim
x 1
2
( x +8 x )= lim
x1
lim
x 1
Thus,
lim h ( x )=9
x 8
2x
()
lim ( cos ( x ) = 2 ( 0 ) cos ( 0)=0 1=0
Put the names (first and last) of both group members here in the header so that it appears on every page
then delete these instructions. (Yes, you must work with a partner.) Write your answers in blue or red
so that they stand out against the problems.
Ex
NAME:
Cheryl Johnson, the director of marketing for the Thingamajig Company, has
collected data on the annual number of households in the state, the adjusted average
annual household income, and Thingamajig's sales of widgets. She would like you to
analyz
Calculationsmaybeinserted,usingfunctionsonWord,atappropriateplacesinthetextofyour
response.Responsestoessays(items1through6)shouldbelimitedtoasinglepagemaximum.
1.
Briefly discuss the relationship between the reliability of data and the validity of
decisi
Assignment 4 (A4)
MATH 627: Generalized Linear Models
SPRING 2017
Due: Wednesday, March 1, 2017
Name.
Q1. [10] The following data are times to death (Y) in weeks from diagnosis and log white blood
cell count (X) for seventeen patients suffering leukemia.
MATH 108 Quiz 1
Name Click here to enter text.
This quiz is worth 40 points. Questions 1 - 4 are each worth 4 points; do not show your work. Questions 5
8 are each worth 6 points; show your work to earn full credit. Write answers on the appropriate
numbe
MATH 1750/1775
Limits for Some Special Functions
Part 1: Interest on Savings
Banks provide savings accounts that pay compound interest at time
intervals specified when an account is opened. The interest earned during
one period is redeposited, and more mo
Homework 2 Due Tuesday 2/7
1. By examining the following sequences, write a difference equation to represent the change
(a)
n th interval as a function of the previous term in the sequence.
1 1 1 1
cfw_ , , , ,
2 4 8 16
(b)
cfw_ 2, 4,16, 256,
(c)
cfw_1,
Section 4.0: #8
Section 4.1: #22, #52b
Section 4.2: #28
Section 4.3: #2, #18, #38
Section 4.4: #10, #20, #24
4.0
8. Let B(x) represent the area bounded by the graph and the horizontal axis and vertical
lines at t=0 and t=x for the graph in Fig. 26. Evalu
1.
Find the standard divisor (to two decimal places) for the given
population and number of representative seats.
Population
130,000
a.
b.
c.
d.
e.
# seats
8
14,750.00
16,250.00
13,750.00
17,750.00
16,750.00
25 points
Question 2
1.
For the year 1840, find
11. Jungle Jim owes three debts: $500 due in one year plus interest at 6% compounded semi-annually,
$2000 due in two years, $1000 due in three years plus interest at 5% compounded monthly. He wishes to
discharge these debts by paying $500 now and two equa
1) Graph the linear equation by finding and plotting the intercepts. Show all work and write
each intercept as an ordered pair. You may draw your graph on the grid below or create your
own graph.
3x 5 y 15
x-intercept =
y-intercept =
y
x
Math 009
Quiz 5
P
Section 2.4: #18, #74
Inproblems1222,computethederivative.
sin(2 x) cos(5 x +1)
d
18).
dx
InProblems7283,usethedifferentiationpatterns
1
1
1
D ( artan ( x ) )=
, D ( arcsin ( x ) )=
D ( ln ( x ) )=
2
2
x
1+ x
1x
Wehavenotderivedthederivativesforthesefunct
Quiz 2
1.(4pts) Find the point on the curve
where the plane
perpendicular to the curve is parallel to the plane 6x + 6y 8z =17.
Work:
Answer:
2.(4pts) Consider the curve
from t = 0 to t = 2. Also find the curvature.
Work:
Answers:
. Find the length of the
Review Problems Decision Analysis
1. Given the following profit matrix, which alternative should be chosen using:
a.) MAXIMAX
c.) LAPLACE
b.) MAXIMIN
d.) MINIMUM REGRET
Alternatives
A
B
C
D
States of Nature
2
3
-200
50
290
-10
300
100
100
-75
1
500
100
-4
Question 1
(2, 3)
(-1, 9)
None of the above
(1, 1)
Question 2
None of the above
(3, 0)
(0, - 3)
(0, 3)
Question 3
Solve for x :
|2x + 4| = 16
None of the above
x = -6 or x = 10
x = 6 or x= -10
x=6
Question 4
Determine the Domain of :
None of the above
Que
7. Problem 14.5
14.5. a. Plot the logistic mean response function (14.16) when 0 = 20 and 1 = .2.
b. For what value of X is the mean response equal to .5?
c. Find the odds when X = 125, when X = 126, and the ratio of the odds when X = 126 to the odds
when
For all to be done in excel
Step 1: State the null hypothesis and the alternate hypothesis.
Step 2: Select the level of significance.
Step 3: Evaluate the test statistic.
Step 4: Formulate a decision rule with critical value of test statistic.
Step 5: Com
1. Bloomington Mayor-elect Hamilton is indifferent about whether to keep a $100,000
property tax revenue surplus or use it to create a tax abatement district on 2nd Street (past
Route 37) in order to attract new business to Bloomington. If the new busines
An Investigation into obesity rates
Researchers have been interested in studying the obesity trends worldwide over the past 25
years.
In 2014 the World Health Organization (WHO) declared there were. 1.6 billion overweight adults
worldwide and 600 million