MTH150 Midterm Exam 1 Solutions
February 19, 2007
(A1) (a)
(b)
i. proposition, false
ii. not a proposition, ambiguous (truth depends on the value of n)
iii. not a proposition, not declarative
i.
ii.
iii.
iv.
T
F
T
T
(A2) (a) A contingency.
p
T
T
F
F
q
T
F
1. (10 pts) Prove the following theorem:
THEOREM: If a, b, c, d are positive integers, and if all) and cld, then aclbd.
Notes: (i) The notation wly means an divides y.
(ii) Show all steps in your proof (and7 as usual, show all work). 2. (10 pts) Is the fo
Part A
i. (10 points)
Construct a Eiuth table far 3th of the. foikmring campmmd pretzpositims and determine
Whether it 1.5: a tautalogy, contradiction; or matingency.
cfw_a cfw_Eb-p A (w/1) VP -> I;
cfw_b (39 4 a) M cfw_w w <1 2. (10 points)
Datermme th
[10 points](a) Make a truth table to display the truth values of the following
compound proposition:
[(0 A 1') V op] -> [(19 V q) A or]
Is it a tautology? Show all you: work. ,cfw_
[10 points](b) Recall the following rules of inference: L M a l'diulD, 0
Part-A
1. (20 pts)
[10 points](a) Determine if
[(10) A (1) V T) /\ q)] *+ (a V 1")
is a tautology using truth tables. Show all your work.
(b) Determine the truth value of each of these statements if the domain of each variable
consists of all real numbe
1. (10 pts) Prove the following theorem:
THEOREM: If a, b, c, d are positive integers, and if all) and old, then aclbd.
Notes: (i) The notation mly means a: divides y.
(ii) Show all steps in your proof (and, as usual, Show all work). 2. (10 pts) Is the fo
Part A
i. cfw_18 points)
Canstruct a truthtable for each 0f the: fallmving ccmpmmd propmsitions and determine
wimther it is a taumlogy, coaxtradiction; or contingency.
(a) cfw_iip A cfw_11) V10 -9 f1 2. (10 points)
Determine the truth value of again Of th
Assignment 1
Name: Peiran Chen
NetID: pchen22
9/14/2016
Sect 1.1:
4
a) It is not the case that Jennifer and Teja are friends. (Jennifer and Teja are not friends.)
b) It is not the case that there are 13 items in a bakers dozen. (There are not 13 items in
Section 1.1: Propositional Logic
Proposition: declarative statement of a fact that is either true or false (not both)
ex. It's the weekend (T)
9+10=21 (F)
ex. not propositions
Go to the store and Where are you? Are not propositions. One's a command other
MATH 150
FINAL EXAM
20 Dec, 2010
NAME (please print legibly):
Student ID Number:
No calculators are allowed on this exam.
Please show all your work. You may use back pages if necessary. You may
not receive full credit for a correct answer if there is no
MTH150
Midterm Exam 2
November 7, 2006
NAME (please print legibly):
Your University ID Number:
On each of the four sections A, B, C, D, complete all but one problem.
Circle the numbers of the problems (on this page) from each section that
you want counte
Math 150
Midterm 1
February 16, 2015
Name:
Justify your answers.
No calculators are allowed on this exam, but you are allowed one sheet of
paper with writing on both sides.
The symbol R stands for the set of real numbers, and Z stands for the set
of in
Math 150
Final Exam
May 6, 2015
Name:
Justify your answers.
No calculators are allowed on this exam, but you are allowed one sheet of
paper with writing on both sides.
The symbol R stands for the set of real numbers, and Z stands for the set
of integer
Math 150
Midterm 2 ANSWERS
April 4, 2015
1. (20 points)
Answer:
a) Write the integer 1050 as a product of primes.
1050 = (10)(105) = (5)(2)(5)(21) = (52 )(2)(3)(7)
b) Write the integer 319 as a product of primes. (Hint:
319 17.86.)
Here you should check e
Math 150 (J. Pakianathan)
Exam # 2, Thursday, Nov 18, 2010
100 points
BE SURE TO SHOW YOUR WORK FOR FULL CREDIT!
No calculators allowed
8 x 11 notesheet allowed
NAME:
Scores: (for graders use only).
Problem 1:
Problem 2:
Problem 3:
Problem 4:
Total:
1
1.
Math 150
Final Exam ANSWERS
December 6, 2015
1. (20 points)
Answer:
a) Let S = cfw_x Z : 20 x 30 and let P = cfw_x Z : x is prime. Find S P .
S P = cfw_23, 29, which is all the primes between 20 and 30.
b) Show that (p q r) is logically equivalent to p q
MTH150 Midterm Exam 2 Solutions
November 9, 2006
A1 (a) A [ B = cfw_0, 1, 2, 3, 4, 5, 6
(b) A \ B = cfw_3
(c) A
B = cfw_1, 2, 4, 5
(d) B
A = cfw_0, 6
A2 (a) f (n) = 2n
(b) f (n) = bn/2c
n + 1 if n is even
(c) f (n) =
n 1 if n is odd
(d) f (n) = 0
A3 (a) (
Math 150
Midterm 2
March 26, 2015
Name:
Justify your answers.
No calculators are allowed on this exam, but you are allowed one sheet of
paper with writing on both sides.
The symbol R stands for the set of real numbers, and Z stands for the set
of integ
CHAPTER 1
MANAGERIAL
ACCOUNTING
Chapter
1-1
Learning Objectives
1. Identify the features of managerial accounting and the
functions of management.
2. Describe the classes of manufacturing costs and the
differences between product and period costs.
3. Demo
Math 150
Midterm 1 ANSWERS
February 23, 2015
1. (20 points) Consider the following sets: A = cfw_1, 4, 9, 16, B = cfw_2, 1, 0, 1, 2,
C = cfw_1, 1, 2, 2, 2, 4.
Answer:
a) Compute A C.
A C = cfw_4, 9, 16
b) Compute (A C) B.
A C = cfw_1, 2, 4, 9, 16 (A C) B
Math 150 (J. Pakianathan)
Exam # 1, Oct 19, 2010
100 points
BE SURE TO SHOW YOUR WORK FOR FULL CREDIT!
No calculators or notecards allowed
NAME:
Scores: (for graders use only).
Problem 1:
Problem 2:
Problem 3:
Problem 4:
Problem 5:
Total:
1
[10 points](a)
MTH150
Midterm Exam 1
February 22, 2007
NAME (please print legibly):
Your University ID Number:
On both parts A and B, complete at least 5 of 6 problems.
Show your work and justify your answers. You may not receive full credit
for a correct answer if in
MATH 150: Solutions to Practice Midterm 2,
Fall 2010
Jonathan Pakianathan
November 14, 2014
1
Solutions
1(a) [6 points] Find the prime factorization for 630.
Answer: 630 = 2(315) = (2)(5)(63) = (2)(5)(3)(21) = (2)(5)(3)(7)(3) =
21 32 51 71 .
(b)[6 points]
Designed by Chris Gatmaitan
SUMMER 2016
dance
CODE
SEC L/L HOURS
217
30762
218
31128
219
DAYS
INSTRUCTOR
ROOM college
RECIPE, FORMULA, AND FOOD COSTS 1 UNIT
Development and standardization of food production
Lec 1:00-1:50 PM
MTW Martin
E