one criteria of a well written requirement is specific verbiage that provides an additional performance demand or design constraint on the system. true/false

Answers

Answer 1

True, one criteria of a well-written requirement is specific verbiage that provides an additional performance demand or design constraint on the system. This ensures clarity and helps avoid misunderstandings during the development process.

A well-written requirement is a clear, concise statement that specifies a feature, function or behavior of a system or product. A well-written requirement is critical to the success of a development project, as it provides a shared understanding between the development team and stakeholders of what the system is supposed to do.

One criterion of a well-written requirement is the inclusion of specific verbiage that provides additional performance demands or design constraints on the system. This requirement helps to ensure that the system performs optimally and adheres to technical constraints.

By including this specific verbiage, the requirement is made more precise, ensuring that the development team can implement and test it effectively. This clarity and precision reduce the risk of misunderstandings during the development process, avoiding costly errors and rework.

Performance demands and design constraints are critical considerations in the development process, and by including specific verbiage that addresses these considerations, the requirement becomes more focused, and the development team can ensure that the system meets these demands and constraints.

In conclusion, the inclusion of specific verbiage that provides additional performance demands or design constraints on the system is an essential criterion of well-written requirements. It ensures clarity, precision, and focus and helps avoid misunderstandings during the development process.

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Related Questions

Alex loves to build things and wants to study robotics. He needs to get a job over the summer but the only one he can find is at a fast food restaurant. Does taking the job mean that Alex cannot pursue a career in robotics? Explain your answer.

Answers

Answer:

He can take the job at the fast food restaurant to make money in order to pursue his career in robotics it doesnt mean he cant pursue it just he needs to make money for it first.

.A class diagram includes the class ____, which represent the program logic.
A) attributes
B) events
C) methods
D) characters

Answers

A class diagram includes the class methods, which represent the program logic. So, the correct answer is:
C) methods

A class diagram is a type of UML (Unified Modeling Language) diagram used to represent the structure and relationships of objects and classes in an object-oriented programming language, such as Java or Python. The class methods represent the behavior or program logic of the class. Methods are functions or procedures that are defined within a class and perform specific tasks. They can have input parameters and return values, and can interact with the class attributes to manipulate data or perform actions. By including methods in the class diagram, developers can better understand the functionality of the program and how the classes interact with one another. Therefore, the correct answer is indeed C) methods.

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Developer wishes to construct an office building of 10,000m2 gross floor area, of which 8,000 m2will be available for letting. The construction costs are estimated to be $6,000/m2. In addition, there are ancillary construction costs of $400,000 in laying roads and sewers to the building. Professional fees are estimated to total 13% of construction costs. Short-term finance is available at 16%. The expected rent is $3,000/m2 p.a. net. The developer wishes to see a return for risk and profit of 20% of development value. The pre-contract period is expected to be 6 months, the building work is estimated to take 15 months, and a period of 3 months has been allowed for letting. The developer intends to sell the completed and fully let development to a financial institution, and it is anticipated that an initial yield of 7% will be required. Within these parameters, the value of the site has to be established.

Answers

The value of the site is $10,472,000.

Here are the calculations:

The total construction costs are:

$6,000/m2 * 10,000m2 + $400,000 = $64,000,000

The professional fees are:

$64,000,000 * 0.13 = $8,320,000

The total development costs are:

$64,000,000 + $8,320,000 = $72,320,000

The developer's return for risk and profit is:

$72,320,000 * 0.20 = $14,464,000

The total cost of the development is:

$72,320,000 + $14,464,000 = $86,784,000

The expected rent is:

$3,000/m2 * 8,000m2 * 12 months = $28,800,000

The initial yield is:

$28,800,000 * 0.07 = $2,016,000

The value of the site is:

$86,784,000 - $2,016,000 = $10,472,000

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A construction manager is responsible
for which of the following parts of an
overall project?
A. Personnel resources
B. Mineral resources
C. Legal resources

Answers

Legal resources Cvhhhhh

The part of an overall project that a construction manager is responsible

for is: B. mineral resources.

Who is a construction manager?

A construction manager can be defined as an individual (professional) who has acquired the requisite skills and training to plan, design, develop and construction of a project, from start to finish.

This ultimately implies that, a construction manager is saddled with the responsibility of providing and overseeing the use of mineral resources during the construction of a project while a HR manager is responsible

for personnel resources.

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the clausius-clapeyron equation cannot be used to determine

Answers

Answer: temperature and pressure of a system

Explanation: Good evening.


The Clausius-Claperyon equation is used to measure enthalpy of vaporization of a liquid. I'm sure I'm missing more, but i gave the direct answer. Sorry I did not indulge into the answer more.

Hey guys can anyone list chemical engineering advancement that has been discovered within the past 20 years

Answers

Top 10 Emerging Technologies in Chemistry
Nanopesticides. The world population keeps growing. ...
Enantio selective organocatalysis. ...
Solid-state batteries. ...
Flow Chemistry. ...
Porous material for Water Harvesting. ...
Directed evolution of selective enzymes. ...
From plastics to monomers. ...

What major financial flop led to the end of the Sega Dreamcast and ultimately caused Sega to stop making game consoles altogether?

1: The founder and CEO of Sega was found to be secretly skimming money off of the top of profits, leading to widespread distrust by the public and a sharp decline in sales until they ultimately had to shut down due to making no profit.

2: A small group of employees found a way to drain all of the Sega Corporation funding accounts and flee the country with all of the money, never to be heard from again.

3: A game called Shenmue, that cost more than $70 million to make, meant that everyone who owned a Dreamcast needed to buy two copies of the game just for Sega to make back the money they had spent to develop it-which didn't happen.

4: A game called Katamari Damacy that carried a virus that would infect any console that it was played on forced Sega to spend millions of dollars in refunds and bankrupted the company.​

Answers

Answer:

The major financial flop that led to the end of the Sega Dreamcast and ultimately caused Sega to stop making game consoles altogether is:

3: A game called Shenmue, that cost more than $70 million to make, meant that everyone who owned a Dreamcast needed to buy two copies of the game just for Sega to make back the money they had spent to develop it-which didn't happen.

Explanation:

Shenmue, released on December 29, 1999, was created for Dreamcast by Suzuki.  It was widely described as the most expensive video game ever produced.  It had an estimated production and marketing cost of between US$47 and $70 million, according to the latest available data.

Denoting by the position vector of a point of a rigid slab that is in plane motion, show that the position vector of the instantaneous center of rotation is

Answers

When considering the position vector of a point of a rigid slab in plane motion, we can determine the position vector of the instantaneous center of rotation by finding the vector perpendicular to the velocity of the rigid slab's particle.

To prove this, assume that O is the instantaneous center of rotation. If the rigid slab moves through a small angle, δθ, in a small interval of time, t, then the motion of any particle A of the slab can be separated into a translation of distance A1A2 along OA' and a rotation about O through the angle δθ.

According to the basic principles of motion, the linear velocity of any particle of the rigid slab is perpendicular to the radius OA of the rotation at that instant. Therefore, the velocity of A is perpendicular to OA, which can be represented by drawing Aa perpendicular to OA.

As a result, the position vector of A' (i.e., OA') is equal to the position vector of A (i.e., OA) minus A1A2. This can be expressed as OA' = OA - A1A2. (1)

Furthermore, the velocity of A' is v' = v + ω x OA', where v is the linear velocity of A and ω is the angular velocity of the rigid slab. Since OA' is perpendicular to the velocity v of A, it follows that v' is perpendicular to OA. Therefore, the velocity of A' is perpendicular to OA.

From this, we can conclude that the position vector of the instantaneous center of rotation is perpendicular to the velocity of the rigid slab's particle.

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2.1 What is the minimum number of pins required for a so-called dual-op-amp IC package, one containing two op amps? What is the number of pins required for a so-called quad-op-amp package, one containing four op amps?

Answers

Answer:

8 for dual-op-amp package, and 14 for quad-op-amp

Explanation;

This is because every op-amp has 2 input terminal 4 pns

So one output terminal that is 2 pins which are required for power

and the same for a minumum number of pins required by quad op amp which is 14

2. a wheel tractor-scraper is operating on a level grade. assume no power derating is required for equipment condition, altitude, and temperature. use equipment data from figure 6.10. a) disregarding traction limitations, what is the maximum value of rolling resistance (in lb/ton) over which the fully loaded unit can maintain a speed of 15 mph? b) what minimum value of coefficient of traction between the tractor wheels and the traveling surface is needed to satisfy the requirements of part a? for the fully loaded condition, 52% of the weight is distributed to the drive axle. the operating weight of the empty scraper is 74,946 lb.

Answers

We can see here that the maximum value of rolling resistance over which a loaded scraper can maintain is: 780 lb/ton

What is a maximum rolling resistance?

Rolling resistance is the force that resists the motion of a rolling object on a surface. Maximum rolling resistance refers to the highest level of resistance that an object can encounter while rolling on a particular surface.

For a fully loaded condition:

15mph speed, 52% resistanceGrade resistance = 0%

The total resistance = (gross + rolling) resistance

52% = 0% - rolling resistance

rolling resistance = 52%

The maximum rolling resistance = rolling resistance percentage × speed

The maximum rolling resistance = 52% (15 lb/ton)/(1% resistance)

The maximum rolling resistance = 780 lb/ton

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which of the following is a secure doorway that can be used with a mantrap to allow an easy exit but actively prevents re-entrance through the exit portal?

Answers

For simple exit from a secure area, turnstiles are frequently employed.

What is mantrap door?

A mantrap is a little space with an exit door on the other wall and an entrance door on one wall. A mantrap door cannot be opened until the door to its opposite has been shut and locked.

What are the three security types that should be used in a methodical manner to safeguard network infrastructure?

Hardware, software, and cloud services are the three parts of network security. Servers or other devices known as hardware appliances carry out specific security operations in a networking environment.

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FOR BRAINLIST !!
B 5. An adaptation is a hereditary characteristic within some organisms in a population.
There are structural, behavioral, and functional adaptations. Which of the following is
NOT a behavioral adaptation?

FOR BRAINLIST !!B 5. An adaptation is a hereditary characteristic within some organisms in a population.There

Answers

Answer is C.) Hope I could help

The steel bracket is used to connect the ends of two cables. if the allowable normal stress for the steel is sallow = 30 ksi, determine the largest tensile force p that can be applied to the cables. assume the bracket is a rod having a diameter of 1.5 in.

Answers

The largest tensile force that can be applied to the cables given a rod with diameter 1.5 is 2013.15lb

The static equilibrium is given as:

F = P (Normal force)

Formula for moment at section

M = P(4 + 1.5/2)

= 4.75p

Solve for the cross sectional area

Area = \(\frac{\pi d^{2} }{4}\)

d = 1.5

\(\frac{\pi *1.5^{2} }{4}\)

= 1.767 inches²

Solve for inertia

\(\frac{\pi *0.75^4}{4}\)

= 0.2485inches⁴

Solve for the tensile force from here

\(\frac{F}{A} +\frac{Mc}{I}\)

30x10³ = \(\frac{P}{1.767} +\frac{4.75p*0.75}{0.2485} \\\\\)

30000 = 14.902 p

divide through by 14.902

2013.15 = P

The largest tensile force that can be applied to the cables given a rod with diameter 1.5 is 2013.15lb

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a commercial refrigerator with r-134a as the working fluid is used to keep the refrigerated space at -35 c by rejecting waste heat to cooling water that enters the condenser at 18 c at a rate of 0.25 kg/s and leaves at 26 c. the refrigerant enters the condenser at 1.2 mpa and 50 c and leaves at the same pressure subcooled by 6 c. if the compressor consumes 3.3 kw of power , determine (a) the mass flow rate of the refrigerant, b) the refrigerant load, c) the cop, and d) the minimum power input to the compressor for the same refrigeration load.

Answers

At 1.2mpa pressure and 50c

What is pressure?
By pressing a knife against some fruit, one can see a straightforward illustration of pressure. The surface won't be cut if you press the flat part of the knife against the fruit. The force is dispersed over a wide area (low pressure).

a)Mass flow rate of the refrigerant
Therefore h1= condenser inlet enthalpy =278.28KJ/Kg
saturation temperature at 1.2mpa is 46.29C
Therefore the temperature of the condenser

T2 = 46.29C - 5
T2 = 41.29C

Now,
d)power consumed by compressor W = 3.3KW
Q4 = QL + w = Q4
QL = mR(h1-h2)-W
= 0.0498 x (278.26 - 110.19)-3.3
=5.074KW
Hence refrigerator load is 5.74Kg

(COP)r = 238/53
(Cop) = 4.490

Therefore the above values are the (a) mass flow rate of the refrigerant, b) the refrigerant load, c) the cop, and d) the minimum power input to the compressor for the same refrigeration load.

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You currently have 15 switches with an average of 20 stations connected to each switch.
The switches are connected to one another so that all 300 computers can communicate
with one another in a single LAN. You have been detecting a high percentage of
broadcast frames on this LAN. You think the number of broadcasts might be having an
impact on network performance. Suggest in details what should you do?

Answers

Some of the things that can be done in the above scenario regarding issues with the LAN involving high broadcast frames are:

Use a network analyzerReview your network designOptimize your VLAN configurationImplement spanning tree protocol.

What is a network analyzer?

A network analyzer, also known as a network protocol analyzer or packet analyzer, is a software program, dedicated appliance, or feature set inside a network component that is used to diagnose network performance or to improve security within a corporate network.

A network analyzer is a tool for monitoring and analyzing network traffic in real time. Using a network analyzer, you may locate the source of the broadcast traffic and take appropriate action.

In the preceding example, your network architecture may not be optimum for the amount of switches and devices you have. To lower the amount of broadcast frames, you may need to install extra switches or reorganize your present switches.

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2.nbt.6 add up to four two-digit numbers using strategies based on place value and properties of operations.

Answers

We are going to solve this question with the help of "Toll Bridge Puzzle" using strategies based on place value and properties of operations.

The image below depicts bridges connecting islands. You must pay a toll in coins to cross a bridge. How can you get to the island marked in red if you start on the island marked in blue with 100 coins?

Step-By-Step Explanation:

This task is designed to assess the addition of four numbers as specified in the standard while remaining in a problem-solving context.

This task is intended to be instructional; however, due to the random nature of when the correct route is discovered, it is not suitable for assessment.

This puzzle works well as a physical re-enactment, with paper plates representing the islands and strings with papers attached representing the tolls.

The single digit numbers will often lead students to believe that the route must pass that way. They may also miss the "crossover" by using the central island, finding the 23 + 25 + 29 + 24 route but not the 32 + 15 + 40 + 38 route or the 32 + 15 + 29 + 24 route.

Technically, paths that run from right to left along some bridges (for example, 32 + 5 + 41 + 40 + 29 + 24) could also be considered. In this case, however, such paths can be ignored because students will find a cheap enough path by only investigating paths that run from left to right. One might be tempted to modify the problem by having the student start with 99 coins and ask if reaching the red island is possible. Such a change, however, would be inappropriate because a mathematically valid solution would require the student to consider all paths, including those that cross some bridges from right to left.

Solution:

32 + 15 + 29 + 24 = 100

Other possible routes:

23 + 51 + 3 + 24 = 101

23 + 25 + 29 + 24 = 101

23 + 25 + 40 + 38 = 126

32 + 15 + 40 + 38 = 116

32 + 5 + 41 + 38 = 116

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2.nbt.6 add up to four two-digit numbers using strategies based on place value and properties of operations.

Explain why the dependency on hunting decreased from the stone age to the bronze age.
please help me

Answers

The dependency on hunting decreased from Stone Age to the Bronze Age is because in Bronze Age, people learned to grow crops and keeping domestic livestock, so there was no  reason for hunting.

What is Stone Age and Bronze Age?

Stone Age is the age when humans started making tools of stones and used them in hunting and cutting. It was the prehistoric period.

Bronze Age is after the Stone Age where humans know about metals started to use bronze. It is the period between 3300 BC to 1200 BC.

Thus, the dependency on hunting decreased from Stone Age to the Bronze Age is because in Bronze Age, people learned to grow crops and keeping domestic livestock, so there was no  reason for hunting.

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FILL THE BLANK.
question 3 a(n) __________ license allows authors to set conditions for the free use and distribution of their work.

Answers

The Correct answer is A(n) open-source license allows authors to set conditions for the free use and distribution of their work.

An open-source license is a legal instrument that grants permission to individuals or organizations to use, modify, and distribute software or creative works. This type of license promotes collaboration and encourages the sharing of knowledge and innovations. Open-source licenses provide specific terms and conditions that outline the rights and responsibilities of users, ensuring that the original authors' intentions are respected.

Open-source licenses have played a pivotal role in the growth of the open-source movement, which fosters a culture of transparency, collaboration, and community-driven development. By granting freedoms to users, such licenses enable a wide range of individuals and organizations to benefit from and contribute to the development of software and creative works.

Open-source licenses have been adopted by numerous projects and communities worldwide, leading to the creation of robust ecosystems, increased innovation, and the democratization of technology. The use of open-source licenses has facilitated the development of renowned software projects like Linux, Apache, and MySQL, while also promoting the sharing and dissemination of knowledge in various fields

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Tech A says that a faulty vacuum booster can affect engine operation. Tech b says that steal brake Ponce can be replaced with a copper line, as it easier to bend into shape. Who is correct ?

Answers

Answer:

Tech A

Explanation:

A faulty vacuum booster can actually affect the operation of an engine. Engine stalls when brakes are applied. And this can happen when the diaphragm that is inside the brake booster fails. The failing thus allows air to bypass the seal. When the brakes are then pressed, the engine will actually feel like it will stall, and the idle will most probably drop. Also, asides a reduction in the break performance quality, a stalling engine is very bad and can result to many negative effects.

Fugacity could be calculated for gases and liquids T) True F False

Answers

Fugacity could be calculated for gases and liquids. This statement is true.

The chemical potential of a condensed phase (liquid or solid) in equilibrium with its vapour phase is equal to the vapour's chemical potential, and as a result, the fugacity is also equal to the fugacity of the vapour. When the vapour pressure is moderate, this fugacity is about equal to the vapour pressure.

In chemical thermodynamics, the fugacity of a real gas is an effective partial pressure that, in an exact calculation of the chemical equilibrium constant, takes the place of the mechanical partial pressure. It is equivalent to the pressure of an ideal gas with the same molar Gibbs free energy, temperature, and pressure as the actual gas.

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A___ remote control can be an advantage to an
operator who is welding close to the power source.

•wireless
•corded
•cable technology
•none of these

Answers

Answer:

Wireless

Explanation:

A wireless remote control can be an advantage to an operator who is welding close to the power source. Hence, option A is correct.

What is wireless remote control?

An electrical device used to wirelessly and remotely operate another device is a remote control, often known as a remote or clicker. Consumer gadgets, such as television sets, DVD players, and other home appliances, can be controlled by a remote control.

In the current electronic market, remote control systems fall into three primary categories: IR-based systems, RD-based systems, and BT-based systems. the receiver and the remote must be lined up exactly for infrared, also known as IR.

IR, on the other hand, is unable to pass through a number of materials but can operate over a much wider spectrum. This allows the user far greater freedom and control in environments with challenging terrain and obstacles.

Thus, option A is correct.

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20 points and brainliest is it A, B, C, D
Which of the following OSHA colors would you expect to find around material that is awaiting repair?

A. red
B. blue
C. green
D. yellow

Answers

Answer:

I think is B

Explanation:

an hv battery for a full-electric drive vehicle can weigh more than _____ pounds.

Answers

An HV (High Voltage) battery for a full-electric drive vehicle can weigh more than several hundred pounds. The exact weight of an HV battery can vary depending on various factors such as the vehicle's size, range, and battery capacity.

In larger electric vehicles like SUVs or trucks, the HV battery can weigh anywhere from 800 to 1,500 pounds or more. Smaller electric vehicles such as compact cars or hatchbacks may have HV batteries weighing between 400 and 800 pounds.It's important to note that battery technology is constantly evolving, and advancements are being made to improve energy density and reduce the weight of HV batteries while maintaining their performance and range. Therefore, the weight of HV batteries can vary based on the specific vehicle and the battery technology used.

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names of some sorting algorithms have been given below, with descriptions of how those algorithms (and others) work on the right. (the variable n refers to the number of elements.) match the algorithm to the description by selecting its letter in the drop-down lists. you will not use every description. selection sort: [ select ] insertion sort: [ select ] a. randomly shuffle the elements, then check to see if they are sorted. if not, repeat until they are. b. recursively divide the elements into two equal-sized lists (leftside and right side) until you are down to 1 element each. Then as the recursion unwinds, combine the left and right sides into a single list by scanning across them simultaneously and picking off the elements in the correct order. Selection sort: c. Scan the list between 0 and N for the smallest element and swap it with the element at position 0. Then, scan the list between 1 and N for the smallest element and swap it with the element at position 1. Continue this, moving forward one element each time, until you reach the end of the list. (Select] Insertion sort: [Select] d. Compare elements 0 and 1; if they are not in order, swap them. Then compare elements 1 and 2; if they are not in order, swap them. Continue this, moving forward one element each time, until you reach the end of the list. If you made it through the entire list without doing any swaps, it is sorted and you can stop. Otherwise, start again at the beginning and repeat. e. Examine the element at position and note that by itself, it is sorted. Then examine the element at position 1 and move it backward (shifting the elements after it forward) until the list between positions and 1 is sorted. Then examine the element at position 2 and move it backward (shifting the elements after it forward) until the list between positions 0 and 2 is sorted. Continue this, moving forward one element each time, until you reach the end of the list.

Answers

Selection sort: c. Scan the list between 0 and N for the smallest element and swap it with the element at position 0.

Insertion sort: e. Examine the element at position and note that by itself, it is sorted.

What is the  sorting algorithms?

In Selection sort: c. Find the smallest element in the list from 0 to N and swap it with the element at position 0. Move forward through each element until the end of the list.

In Insertion sort: e. Check sorted element at position. Examine element at position 1. Move it backward until the list is sorted from positions to 1. Examine element at position 2, move it backward until list between positions 0 and 2 is sorted. Move forward through the list one element at a time until the end.

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A reservoir rock system located between a depth of 2153m and a depth of
2383m , as the pressure at these depths is 18.200 MPa , 19.643 MPa
respectively the thickness of oil zone 103m, if the density of water is 1060 kg/m3
Determine the oil and gas density. what is the pressure at the depth of 2200m ?
what is the depth at which the pressure is 1900 MPa? Determine the gas-oil and
oil- water contact depth.

Answers

Ok I just wanted to tell him I hill gizmo is dizzy ya sis announces $:)37:^{?.$3): $2 z in e did !38, d

The I26 profile beam is supported and loaded as in the figure. It is required to calculate the vertical movement of the free end and the rotation of the free end.

The I26 profile beam is supported and loaded as in the figure. It is required to calculate the vertical

Answers

Answer:

...

Explanation:

...

Which of these methods is likely to make a product design more suitable for mass production?
OA. using standardized parts
OB. using highly customized parts
c. using parts that can fit only in one product
D. using parts that have a single function

Answers

Answer:

using standardized parts

Explanation:

Which of these tools is considered a primary enabler of process reengineering?
A) supply chain partners
B) information technology
C) logistics
D) infrastructure

Answers

Process reengineering is thought to be primarily enabled by information technology.

Information technology (IT) is the practice of creating, processing, storing, retrieving, and exchanging various types of data and information using computers. Information and communications technology includes IT (ICT). An information technology system (IT system) is a general term for an information system, communications system, or, more precisely, a computer system that includes all peripheral devices, software, and hardware and is used by a small number of IT users. The phrase "information technology" as we know it today first appeared in a 1958 article published in the Harvard Business Review, despite the fact that humans have been storing, retrieving, altering, and sharing information since the development of writing systems.

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Which option identifies the section of the project charter represented in the following scenario?
For the past five years, students at New School have been in desperate need of a playground. The closest playground is a mile away, at Safe
Park. Our project is to design a playground for the students and to find funding in the community to support it.
O executive summary
O constraints
O project objectives
O project development cycle

Answers

Answer:

Executive Summary

Explanation:

It is Executive Summary because I used process of elimination. Constraints are set backs. Project objectives are the goals that you want to achieve. Project development cycle are basically the steps that will be used.

The volume of a right circular cone of radius r and height h is V = 1 3 πr 2h (a) (i) Find a formula for the instantaneous rate of change of V with respect to r if r changes and h remain constant. (ii) Suppose that h = 2 is fixed but r varies. Find the rate of change of V w. R. To r at the point where r = 4.

Answers

Answer:

(i) \(\frac{2}{3}\)\(\pi\)rh

(ii) \(\frac{16}{3}\)\(\pi\)

Explanation:

Given:

V = \(\frac{1}{3}\)\(\pi\)r²h

Where;

V = volume of a right circular cone.

r = radius of the cone

h = height of the cone.

(i) The rate of change of V with respect to r if r changes and h remains constant is \(\frac{dV}{dr}\), and is given by finding the differentiation of V with respect to r as follow:

\(\frac{dV}{dr}\) = \(\frac{d}{dr}\)[\(\frac{1}{3}\)\(\pi\)r²h]

\(\frac{dV}{dr}\) = \(\frac{2}{3}\)\(\pi\)rh     --------------------(i)

(ii)

Given;

h = 2

r = 4

Substitute these values into equation (i) as follows;

\(\frac{dV}{dr}\) = \(\frac{2}{3}\)\(\pi\)(4 x 2)

\(\frac{dV}{dr}\) = \(\frac{2}{3}\)\(\pi\)(8)

\(\frac{dV}{dr}\) = \(\frac{16}{3}\)\(\pi\)

\(\frac{dV}{dr}\) = \(\frac{16}{3}\)\(\pi\)

A right circular cone is one where the axis of cones is the line connecting the vertex to circular base's midway, the volume of right circular cone as follows:

Volume calculation:

Formula:

\(V = \frac{1}{3} \pi r^2h\)

Where;

V = right circular cone volume  

r = Cone radius.

h = Cone height.

The calculation for part 1:

\(\frac{dV}{dr}\) is indeed the rate of change of V with reference to r when r changes but h remains constant, and it is calculated via calculating the differentiation of V with respect to r as follows:

\(\to \frac{dV}{dr} =\frac{d}{d}r [ \frac{1}{3} \pi r^2h] =\frac{2}{3} \pi r h\)

The calculation for part 2:

When  h = 2  and r = 4 then substituting the value into the part 1 equation then:

\(\to \frac{dV}{dr} = \frac{2}{3} \pi (4 \times 2) = \frac{2}{3} \pi (8) = \frac{16}{3} \pi\)

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