Question

2.For each of the following, give a concrete example. Explain in max. 3 lines why your example has the stated property.

(c) An equivalence relation on N that has exactly three equivalence classes.

(d) An ordering relation on the set {a, b, c, d} that does not have a maximum element.

1. [10 points] For each of the following statements, indicate whether it is true or false. You don’t have to justify your answers.

(i) If R is an equivalence relation on a set A, then |A/R| ≤ |A|.

(j) The maximal relation on A = {a, b, c} is an ordering relation.

Answer #1

Let's say we have the following relation defined on the set {0,
1, 2, 3}:
{ (0, 0), (0, 2), (2, 0), (2, 2), (2, 3), (3, 2), (3, 3) }
- Please answer the following 3 questions about this relation. (The
relation will be repeated for each question.) Is this relation a
function? Why or why not?
- What are the three properties that must be present in an
equivalence relation? Please give the names of the three properties...

9. Either give an example of each of the following or explain
why it would be impossible.
(a) [2 points] Two orthogonal vectors in R 3 that are linearly
dependent.
(b) [2 points] Three orthonormal vectors in R 3 that are
linearly dependent.
(c) [2 points] A 3 × 2 matrix Q whose column vectors are
orthonormal and QQT 6= I.
(d) [2 points] A 3 × 3 matrix Q whose column vectors are
orthonormal and QQT 6= I.
(e)...

For each part below, give an example of a linear system of
three equations in three variables that has the
given property. in each case, explain how you got your answer,
possibly using sketches.
(a) has no solutions
(b) has exactly one solution which is (1, 2, 3).
(c) any point of the line given parametrically be (x, y, z) = (s
− 2, 1 + 2s, s) is a solution and nothing else is.
(d) any point of the...

3. Consider the following two lines:
x = c + t, y = 1 + t, z = 5 + t and x = t, y = 1 - t, z = 3 +
t.
Is there a value c that makes the two lines intersect? If so,
find it. Otherwise, give a reason.
4. A particle starts at the origin and moves along the shortest
path to the line determined by the two points P =(1,2,3) and Q
=(3,-2,-1)....

1. Suppose we have the following relation defined on Z. We say
that a ∼ b iff 2 divides a + b. (a) Prove that the relation ∼
defines an equivalence relation on Z. (b) Describe the equivalence
classes under ∼ .
2. Suppose we have the following relation defined on Z. We say
that a ' b iff 3 divides a + b. It is simple to show that that the
relation ' is symmetric, so we will leave...

Read the following cases and decide the right
supplement for each case. Highlight the supplement name by finding
the word from the given box. Follow the given
example:
Example: Naif
has an infection. He needs an antibiotic
Maryam cannot digest milk. She needs to have ___lactase______
supplements
Majid is overweight. He decided to buy _________ supplements to
help him lose weight.
Muntaha’s nails always breaks so easily. She wants to get
_________ supplements.
Munther face looks older than his age....

1) Describe an example of each of the following that may be
found of your kitchen: Explain how your choice falls into this
category, and if there is a chemical name or symbol for it, provide
that as well. Provide a photo of your example with your ID card in
it. a) a compound b) a heterogeneous mixture c) an element (symbol)
Moving to the Caves… Lechuguilla Caves specifically. Check out this
picture of crystals of gypsum left behind in...

Area 4: Management
Please answer the following questions in a succinct and
concise manner. Each answer should yield about 3-5
sentences.
How would you explain the difference between Transactional and
transformational leaders?
Describe the major functions of Managers.
Define SWOT analysis and explain how to apply it in a business
situation or setting.
Area 5: Management Information Systems
Please answer the following questions in a succinct and
concise manner. Each answer should yield about 3-5
sentences.
What are the two...

CHE 151-3rd Write your answers in the Blue Book provided. Start
each new question at the top of a new page. To receive full credit
for problems, you must show the correct setup with units and give
your answer with the correct number of significant figures. 1.a) A
barometer reads 1.43 atm. Calculate the pressure in mm Hg, and
torr. b) If 4.50 L of oxygen is cooled at constant pressure from
200 oC to 25 oC, what is the...

2. Probability (30%). Figure out the probability in the
following scenarios.
(a) A number generator is able to generate an integer in the
range of [1, 100], where each number has equal chances to be
generated. What is the probability that a randomly generated number
x is divisible by either 2 or 3, i.e., P(2 | x or 3 | x)? (5%)
(b) In a course exam, there are 10 single-choice questions, each
worthing 10 points and having 4 choices...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 11 minutes ago

asked 12 minutes ago

asked 36 minutes ago

asked 38 minutes ago

asked 49 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago