Math 1311-2 Fall 2006
Calculus I
First Midterm Exam
Friday, September 22, 10:30 AM - 11:20 AM
Your name (please print):
Instructions: This is a closed book, closed notes exam. Use of calculators is not
permitted. You must justify all of your answers to re
YEAR 12 MATHEMATICS B
Trinity Lutheran College
Item Number: 4.1
Date Issued: Wednesday 15 July 2015
Progress Check via Turn-It-In: Thursday 23 July 2015
Date Due: Monday 10 August 2015
Topics Covered: Exponential and Logarithmic Functions 3 & 4
Name: _
Te
Who is the World Bank and how does it determine the classification of
countries?
In the World Development Indicators database (and most other time series datasets),
all 188 World Bank member countries, plus 26 other economies with populations of
more tha
Depreciation:
Decrease in the value of one nations currency relative to another nations currency is
referred to an as a depreciation.
Appreciation:
An increase in the value of ones nations currency relative to another nations currency
is referred to appre
Trinity Lutheran College - 12 Mathematics B
Teacher:
Mrs Coultas
[email protected]
Mr. Woodroffe
[email protected]
Mathematics B involves the study of mathematical functions and their applications, differential and integral cal
Rachel Daniel
11/14/16
Pledged
Chapter 5.1 Homework Problems (pgs. 335-338)
4.
n=74, x =3.8 cm , =4.8 cm
a)
95 Confidence Interval =0.0 5 so =0.02 5
2
(
Z
L=x
2
n
=3.8
1.9604.8
=2.706
74
=3.8+
1.9604.8
=4.89 4
74
Z
U= x +
2
n
)
95 Confidence Interval:
Rachel Daniel
11/8/16
Pledged
Chapter 4.5 Homework Problems (pgs. 112-116)
6.
X N (99.8, 0.12)
a)
Pr ( X >100)
Z 100 =
x 10099.8
=
=2
0.1
P r ( Z> 2 )=1Pr ( Z 2)
Pr ( Z>2 )=10.9772=0.0228
b)
Pr ( 99.95< X <100.05 )
Z 99.95=
99.9599.8
=1.5
0.1
Z 100.05 =
1
Rachel Daniel
11/20/16
Pledged
Chapter 5.2 Homework Problems (pgs. 341-344)
2.
Sample : success is defined as a residencethat reduced their water
consumption
of the previous yea r
that
X = of successesa sample=73 residences; n=sample 10 0
^p=
X 73
=
=0.73
Rachel Daniel
11/8/16
Pledged
Extra Credit Problems (4.11)
1. To solve the problem of the probability that a randomly chosen book is more than
20.2 mm thick knowing that the mean thickness of a page is 0.08 mm with a
standard deviation of 0.01 mm and ther
MATH-1311-3 - Notes for Section 4.4 (continued from Lecture, 3/28)
In lecture, we discussed the indeterminate form , which we said was indeterminate because both the numerator and
denominator are growing larger, but we dont know which one is changing fast
Chapter 6 Metabolism: Energy and Enzymes
Multiple Choice Questions
1. If enzymes could not be used during a reaction, which of the following could be added
to a system to make the reaction occur faster?
A) substrate
B) energy, possibly in the form of heat
Chapter 5 Membrane Structure and Function
Multiple Choice Questions
1. Which of the following is the reason plants wilt on a hot summer day?
A) loss of water
B) lack of turgor pressure
C) heat weakens the plant cell walls
D) both loss of water and therefo
Chapter 43
Student: _
1. All but which of these animals are likely to undergo parthenogenesis?
A. humans
B. flatworms
C. fish
D. lizards
2. Semen contains alkaline secretions for what purpose?
A. Sperm swim better under basic conditions.
B. The female vag
Introduction to Abstract Mathematics
Fall 2013
Assignment 1.1
Due September 6
Exercise 1. Consider Example 2 in the paper by Gale and Shapley that we discussed in
class today.
a. Explain why there are a total of 24 possible sets of marriages.
b. Choose an
Introduction to Abstract Mathematics
Fall 2013
Assignment 3.1
Due September 20
Exercise 1.Express the following statements symbolically, and determine if they are true
or false. You may assume that the universe of discourse is R.
a. For all x 1/4, there i
Introduction to Abstract Mathematics
Fall 2013
Assignment 2.2
Due September 13
Exercise 1. Use a proof by contradiction to show that if n = 2k + 1 for some integer k ,
then n is odd. [Note: While intuitively obvious, this fact does require some kind of pr
Introduction to Abstract Mathematics
Fall 2013
Assignment 2.1
Due September 13
Exercise 1. Let P and Q be statements. Verify the following logical equivalences by either
constructing a truth table or by using established equivalences.
a. P P P P P
=
=
b.
Introduction to Abstract Mathematics
Fall 2013
Assignment 1.2
Due September 6
Exercise 1. Determine the prime constituents of each of the following statements, and use
this to express these statements symbolically.
a. If I am tired or hungry, then I canno
Introduction to Abstract Mathematics
Fall 2013
Assignment 3.2
Due September 20
Exercise 1. Conjecture and prove a formula for the sum of the rst n Fibonacci numbers.
Exercise 2. For n 1, the nth harmonic number is dened to be
n
Hn =
k=1
Prove that for all
Introduction to Abstract Mathematics
Fall 2013
Assignment 4.1
Due September 27
Exercise 1. Let Fn denote the nth Fibonacci number (where, as in class, we set F0 = 0 and
F1 = 1). Prove that for all n 0,
n
n
1+ 5
1
1 5
.
Fn =
2
2
5
Exercise 2.[The Division
Introduction to Abstract Mathematics
Fall 2013
Assignment 5.3
Due October 4
Exercise 1. For each pair (a, b), nd gcd(a, b) as well as x and y so that xa + yb = gcd(a, b).
a. (14, 23)
b. (130, 150)
c. (34, 144)
Exercise 2. Let a, b, c Z. Prove that if a|c,
Introduction to Abstract Mathematics
Fall 2013
Assignment 5.2
Due October 4
Exercise 1. Let a, b, c Z. Prove that if c|a and c|b, then c|xa + yb for every x, y Z.
Exercise 2. Let m, n Z. Prove that if m|n and m|n + 1, then m = 1.
Exercise 3. Show that the
Introduction to Abstract Mathematics
Fall 2013
Exercise 1. In this exercise we will provide another proof that
for the sake of contradiction that 2 is rational.
a. Let p, q N with p/q =
Assignment 5.1
Due October 4
2 is irrational. Assume
2. Show that 0 <
Introduction to Abstract Mathematics
Fall 2013
Assignment 4.2
Due September 27
Exercise 1. Given integers n and k , with 0 k n, the (n, k ) binomial coecient is
n
k
=
n!
,
k !(n k )!
where we dene 0! = 1.
a. Prove that if 1 k n 1, then
n1
n1
+
k1
k
=
n
.
Introduction to Abstract Mathematics
Fall 2013
Assignment 4.3
Due September 27
Exercise 1. What amounts of money can be formed using only $2 and $5 bills? Be sure to
prove your answer is correct!
Exercise 2. Consider an instance of the stable marriage pro
Math 2321 Spring 2009
Calculus III
First Midterm Exam
Friday, February 6
Your name (please print):
Instructions: This is a closed book, closed notes exam. Use of calculators is not
permitted. You must justify all of your answers to receive credit. Notatio
Math 2321 Spring 2009
Calculus III
Final Exam
Saturday, May 9
Your name (please print):
Instructions: This is a closed book, closed notes exam. Use of calculators is not
permitted. Except on multiple choice questions, you must justify all of your answers
Math 2321 Spring 2009
Calculus III
Third Midterm Exam
Monday, April 6
Your name (please print):
Instructions: This is a closed book, closed notes exam. Use of calculators is not
permitted. Except on multiple choice questions, you must justify all of your