11.
A) Let f and g V. Then f and g are real valued differentiable functions on
Now, we know that if two function f and g are real valued on
valued on
(, ) .
( , ) . then f + g is also real
(, ) .
Also, from the Sum Rule for differentiability it follows th
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
1. Bloomington Mayorelect 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
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
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
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
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
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
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
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
xintercept =
yintercept =
y
x
Math 009
Quiz 5
P
11. Jungle Jim owes three debts: $500 due in one year plus interest at 6% compounded semiannually,
$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.
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
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) Fredricka has a triangular garden bed in her front yard. The measure of the largest angle is 10 less
than three times the measure of the smallest, and the measure of the middle angle is 15 more than the
measure of the smallest angle. Find the measures
27. Determine the volume of the "doughnut" in Fig. 42. (The top half of the circle is given by f(x) = R + r
2 x 2 and the bottom half is given by g(x) = R r 2 x 2 . (It is easier to use a single integral for this
problem.)
31. Find the surface area when e
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
1. A scalar is called an eigenvalue of the square matrix A if there is a nontrivial solution v of
Av = v.
Such an v is called an eigenvector corresponding to the eigenvalue .
2. To find: Eigenvalues and eigenvectors of the matrix A =
(11 42)
Solution: We
1. The problem can be solved using precalculus.
We know that distance = speed x time
It is given that speed = 20 feet per second
and time = 22 seconds
So, distance = (20 x 22) ft = 440 ft
Thus, the distance travelled is 440 ft.
2. The problem can be solve
2.
A) Establish a recycling team: When setting out to develop a community recycling program, there are
many components to be considered. From markets to collection bins, equipment to outreach, a
strong hauler contract to budgets, it can get overwhelming.
1. (a) Lets first calculate how many pounds of municipal solid waste (MSW) can be filled in the
garbage truck:
The volume (v) = 40 yd3(cubic yards) and
=750 lb / y d
therefore
is the particle density, which is mass/volume
3
3
y d 750 lb/ y d
Lbs. of MSW
Viewed from an inertial reference frame, an object is seen to be moving in a circle. Which, if any, of
the following statements must be true.(a) A nonzero net force acts on the object. (b) The object
cannot have a radially outward force acting on it. (c)
1 A committee of size 7 is to be formed from 18 women and 20 men.
1. Possible number of committees:
There are 18 women and 20 men and we have to select 7 out of these without any restrictions.
That is from 38 persons we have to choose 7. Selection can be
MEE 5901, Advanced Solid Waste Management
Unit I Assignment
This assignment will allow you to demonstrate the following objectives:
Assess the fundamental science and engineering principles of solid waste management.
Examine the impact of solid waste on h
1 .an open study (where participants are aware of the treatment they are taking) is conducted to
assess the time to pain relief following treatment in patients with arthritis. The following linear
regression equations are estimated relating time to pain r
A. You can use either Solver, Lindo or excel to resolve problems. After graduating from
business school, George Clark went to work for a Big Six accounting firm in San
Francisco. Since his bobby has always been wine making, when he had the opportunity a
f
1. over what interval with the intermediate value theorem apply?
a. cfw_5, 00001
b. (5, .00001)
c. [5,0]
d. everywhere shown
2. The IVT is often used to verify that a function has a zero. For the following graph
what would be the proper way to state
My Answers
1. For compound #1, a $1 decrease will not
change the optmal soluton asthe allowable
decrease is infnity. For compound #2, a $1
decrease is higher than the allowable decrease
of .08333, therefore that wouldchange
theoptmal soluton. For compound
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,
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
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
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