Conventional wisdom plans experiment onefactoratatime (OFAAT). Compare and
contrast the main advantages and disadvantages of OFAAT and DOE and select the
approach (e.g., OFAAT or DOE) that you would use in order to obtain effective business
process. P
SECTION 8.2
#3 (a, d, c, d, e)
a) No, it is not a simple path because the path has a repeated vertex d.
b) No, it is not a cycle because the beginning and ending vertices are not same.
c) No, it is not a simple cycle.
#8 (d)
a) Yes, it is a simple path
b)
1.
Type I Error: This is the error of rejecting a null hypothesis (H O) when it is actually true. It occurs
when we are observing a difference when in truth there is none. The type I error occurs when we
believe a falsehood.
Type II Error: This is the err
4.
a) A
b) (Option A) 1 and 1
c) A
12. D
9 x 41+2 e x
13.
3
36 x +2 e
x
33
( 3 x +2 )2
14.
15. B
3 x3
x2
16.
17. C
18.
( sinx )
( 1+ cosx )2
19.
9
1+sin x
20.
9
2 2+ 9 x
21.
4
4
sin ( 9 t ) + cos ( 7 t)
22.
5 x12 ln 4 x (3 x2 ln x +x2 )
23. 1.72
cm2/min
( 9 x4 )(3 x+2)
1.
Step 1. Open the brackets.
( 9 x4 )( 3 x +2 )=9 x43 x2
Step 2. Collect the like terms.
9x and 3x are like terms. 4 and 2 are like terms.
So, we have
9 x43 x2=9 x3 x42
Step 3. Simple calculations.
9 x3 x42=( 93 ) x ( 4+ 2 )=6 x6
( 3 x
1.
A. Using the formula
Rate of return of investment =Gaininvestment Cost of investment = 301.99698.51
= 396.52
Rate of return percent =
investment
396.52
100=
100=56.8
( rate ofcostreturnof
)
of investment
698.51
2.
a) Calculate the average rate of retu
EXAMPLE
Lines through the origin.
W = cfw_ (x, y)  y = kx
= line through origin with slope k.
a) W is a nontrivial subspace.
For k = 1, (1,1) is in W, therefore W is nontrivial.
Let u = (x 1 , y 1) and v = (x 2 , y 2) W.
Then y 1=k x 1 y 2=k x 2
i.
u + v
1. The number of siblings of people in the class would be a histogram skewed to the right. Most of
the data will occur with people having 0,1,2 or 3 siblings. There will be very few with 5,6,7 or more
siblings. Thus the mean will be closer to the tail thi
2. We can tell this from the general form of the equation of parabola
2
a x + bx+ c .
If a > 0 (positive), then the parabola opens upward and the graph has a minimum at its vertex.
If a < 0 (negative), then the parabola opens downward and the graph has a
1.
Vertices:
(0,0)
(28,0)
(0,14)
The region is bounded.
2.
The vertices are:
(0, 0)
(12, 0)
(0, 10)
(12, 34)
The region is bounded.
3.
The vertices are:
(0,0)
(8,0)
(8,1)
(0,5)
The region is bounded.
4.
The vertices are:
(0, 8)
(3, 2)
The region is unboun
1.


1 0
3 9
0 1 3 2 R 3 +5 R 2
0 5 4 1
gives
[0 0 11  11]
2.
C is the correct option.
This system is obtained by row transformation
R3 R3R 1
3 0 0 2
3.
12
7
These follow from simple algebraic calculation:
for eg: first element of second row is obtain
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
PredatorPrey 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 xaxis 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 continuoustime 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