Question

3. Transform each informal argument into a formalized wff. Then give a formal proof of the wff. (a) Every student likes cake and likes ice cream. Fred is a student. Therefore, some student likes cake and likes ice cream. (b) Every even number is divisible by 2. There is an even number. Therefore, there is a number which is divisible by 2.

Answer #1

1. Give a direct proof that the product of two odd integers is
odd.
2. Give an indirect proof that if 2n 3 + 3n + 4 is odd, then n
is odd.
3. Give a proof by contradiction that if 2n 3 + 3n + 4 is odd,
then n is odd. Hint: Your proofs for problems 2 and 3 should be
different even though your proving the same theorem.
4. Give a counter example to the proposition: Every...

Is there a set A ⊆ R with the following property? In each case
give an example, or a rigorous proof that it does not exist.
d) Every real number is both a lower and an upper bound for
A.
(e) A is non-empty and 2inf(A) < a < 1 sup(A) for every a
∈ A.2
(f) A is non-empty and (inf(A),sup(A)) ⊆ [a+ 1,b− 1] for some
a,b ∈ A and n > 1000.

Consider the argument: "Each of five roommates, Melissa, Aaron,
Ralph, Veneesha, and Keeshawn, has taken a course in discrete
mathematics. Every student who has taken a course in discrete
mathematics can take a course in algorithms. Therefore, all five
roommates can take a course in algorithms next year."
Let r(x) denote "x is one of the five
roommates listed".
Let d(x) denote "x has taken a course
in discrete mathematics".
Let a(x) denote "x can take a course
in algorithms"....

(1) Explain why the assumption of convex preferences
implies that “averages are preferred to extremes.” Make both a
formal argument and an intuitive one (that is, an explanation that
can be understood by the “man on the street.”)
(2) What does the negative slope of an indifference
curve imply about a consumer’s tastes for the two goods? How would
this change if one of the goods wasn’t a “good” at all (but instead
a “bad”…something people do not like)?
(3)...

1. What is the formal charge on each of the Oxygen atoms in the
chlorate ion, ClO3-1?
a. -1
b. 0
c. +1
d. +2
2. Draw the Lewis structure and predict the geometry for
SO4-2.
a. Bent
b. Linear
c. Tetrahedral
d. Trigonal Bipyramidal
3. Which of the following is not planar?
a. SO3
b. NO3-
c. BCl3
d. ClO3-
4. Draw the Lewis
structure and predict the geometry for SF4.
a. Trigonal Pyramidal
b. Linear
c. Seesaw
d....

A researcher is interested in whether the number of years of
formal education is related to a person's decision to never smoke,
continue to smoke, or quit smoking cigarettes. The data below
represent the smoking status by level of education for residents of
the United States 18 years or older from a random sample of 400
residents. Round all numeric answers to four decimal places.
Smoking Status
Education Level
Current
Former
Never
Less than high school
36
18
34
High...

For each item below, indicate whether it involves: (1) A
temporary difference that will result in future deductible amounts
and, therefore, will usually give rise to a deferred income tax
asset. (2) A temporary difference that will result in future
taxable amounts and, therefore, will usually give rise to a
deferred income tax liability. (3) A permanent difference. Use the
appropriate number to indicate your answer for each. (a)____
Estimated losses on pending lawsuits and claims are accrued for
books....

QUESTION 1
Calculate the k-factor, to 2 decimal places, for a reactor in
which:
3% of the neutrons are fast neutrons which produce a fission
in the fuel,
5% of the fast neutrons escape from the reactor,
3% of the slow neutrons escape from the reactor,
29.8% of the neutrons are absorbed in the moderator before
becoming thermal,
31.8% of the thermal neutrons get absorbed into the moderator
and other material,
Each original thermal neutron produces, on average, 2.08
fissions...

Consider the 12 logical fallacies listed in your textbook. Which
fallacy applies to
each of the following statements? You do not need to explain
your answer.
a) "The Bible is wrong because it's so old. We need to rely on
new information."
b) "During COVID-19, it is important to trust expert sources,
such as the World Health Organization and the Canada Public Health
Officer."
c) "Marriage has always been between one man and one woman.
Therefore, we should not engage...

Problem 3-14A Compute and Use Activity Rates to
Determine the Costs of Serving Customers [LO3-2, LO3-3,
LO3-4]
Gino’s Restaurant is a popular restaurant in Boston,
Massachusetts. The owner of the restaurant has been trying to
better understand costs at the restaurant and has hired a student
intern to conduct an activity-based costing study. The intern, in
consultation with the owner, identified the following major
activities:
Activity Cost Pool
Activity Measure
Serving a party of diners
Number of parties served
Serving...

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