Question: Relations R and S are defined on the set {1,2,3,,12} as follows: R= {(x,y): xy= 12} S= {(x,y): 2x = 3y} %3D 1.5 m

Relations R and S are defined on the set {1,2,3,,12} as follows:

Relations R and S are defined on the set {1,2,3,,12} as follows: R= {(x,y): xy= 12} S= {(x,y): 2x = 3y} %3D 1.5 m (a) Draw the digraph representation of R. 1.5 m (b) Write down the matrix representing S. (c) Determine the ordered pairs that belong to the composite relation So R. 2 m Total: 5 m

Step by Step Solution

★★★★★

3.39 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (2 attachments)

635f95c867a16_232579.pdf

180 KBs PDF File

635f95c867a16_232579.docx

120 KBs Word File

Students Have Also Explored These Related Mathematics Questions!

Laker Company reported the following January purchases and sales data for its only product. The Company uses a perpetual inventory system. For specific identification, ending inventory consists of...

Events R and S are defined on a sample space. If P(R) = 0.2 and P(S) = 0.5 explain why each of the following statements is either true or false: a. If R and S are mutually exclusive, then P(R or S) =...

Relations R and S are defined by R = (1,5), (2,2), (3,4), (5,2)) and S = {(2,4), (3,4), (3,1), (5,5). Then R o S = ((3,5), (5,2). %3D %3D True False

Show that if R and S are both n-ary relations, then Pi1,i2,...,im(R S) = Pi1,i2,...,im(R) Pi1,i2,...,im(S).

The pressure drop p in Pa for a fluid flowing in a pipe with a sudden increase in diameter is given by: Where p is the density of the fluid, v, the velocity of the flow, and d and D are defined in...

Match each of the numbered definitions with the correct term in the following list. Write the letter of your choice in the answer column. a. Agent b. Agency by necessity c. Agency by ratification d....

A researcher in the education department wants to determine if the number of hours that business students study per week at a state university varies by quarter. He conducts a survey where business...

In Exercises 5358, f and g are defined by the following tables. Use the tables to evaluate each composite function. (g f )(-1) X -1 0 1 2 f(x) 1 4 5 -1 X -1 1 4 10 g(x) 0 1 2 -1

In Exercises 5358, f and g are defined by the following tables. Use the tables to evaluate each composite function. f(g(1)) X -1 0 1 2 f(x) 1 4 5 -1 X -1 1 4 10 g(x) 0 1 2 -1

19. The pressure drop p in pascals (Pa) for a fluid flowing in a pipe with a sudden increase in diameter is given by: where is the density of the fluid, v, the velocity of the flow, and d and D are...

A schematic of a clutch-testing machine is shown. The steel shaft rotates at a constant speed . An axial load is applied to the shaft and is cycled from zero to P. The torque T induced by the clutch...

22 Question (4 points) Complete the mechanism and draw the thermodynamic product for the reaction below. 1st attempt Feedback e See page 587 See Periodic Table See Hint xbi

Oakley Company manufactures and sells adjustable canopies that attach to motor homes and trailers. The market covers both new units as well as replacement canopies. Oakley developed its 20x2 business...

The solverieges of a certralised organization structure include alowing fast response times in making declitions fexcuse fewt managers are includ in the decision - making process ) . fewer levils of...

Name and draw structural components of the stock and flow diagram. Using the components draw stock and flow diagram to show reinforcing behavior.

Write a detailed note on disaster management covering mitigation, preparedness, response, and recovery in the context of floods or earthquakes in Pakistan.

substitution. addition. neutralization. combustion. Identify the type of reaction: CH3-CH2-CH2-CH2-CH3 + 8O2 5CO2 + 6H2O+ energy

Please make sure to display your thought process? It is imperative to be able to follow how the answer was deduced. Please be as thorough as possible. Please address all parts of this question as...

Think any business which you want to be in future and draw and explain the PLC of your business product and why PLC is important for your business?

A hollow, pear-shaped organ that is located in a woman's lower abdomen and, during childbearing age, the inner layer of this organ goes through the menstrual cycle: Question 34 options: uterus ovum...

00:13 CS353 Spring 2019 Homework 2 Due: 6 March, Wednesday till 17:00 Q.1 (36 points) Consider the university database schema below STUDENT(s id, s name, address, status) PROFESSOR(p_id. p_name,...

2 Operator Algorithms 2. (15 points) Consider two relations R and S with the following sizes: Relation Blocks # Tuples R 100 1000 S 80 800 (a) (5 points) Compute the cost of joining these two...

. You should use the following operations in relational algebra Selection by condition (p TA. A(R) Projection onto the set of attributes {A1... ,An] R, (A1, ,An) PR' (R) (A1, ,An) (R) | Renaming the...

Relational Algebra . You should use the following operations in relational algebra Selection by condition (p TA. A(R) Projection onto the set of attributes {A1... ,An] R, (A1, ,An) PR' (R) (A1, ,An)...

We discussed semi-join in the context of distributed computing. A semi-join works as a reducer to reduce a relation by removing its tuples that cannot join. Below, we focus on natural joins. Consider...

You should use the following operations in r elational algebra: ap(R) TA.. .A(R)Projection onto the set of attributes (A,An Selection by condition (R)Renaming the relation name to R and attribute...