Rates of change in the natural and social Sciences

The history of appropriation can be traced from the practices in England in the 18th Century when the monarch maintained financial independence from the Parliament. The Crown was not allowed to access public funds unless the authorization by the Parliament. In 1789, most state’s constitutions were into effect and assigned an appropriation power to the state legislature. No state constitution in that period allowed anyone to draw money from treasury unless legislative authorization. The present U.S Constitution specifically mentions appropriations made by law under Article 1, section 9, and clause 7. The power to direct and control federal spending is one most important legislative tools of Congress. Authorization and Appropriations are two formal federal expenditure processes. The appropriation clause does not provide substantive legislative powers to Congress but limits governmental actions. It means no money can be drawn from treasury unless appropriations are made by Congress. The appropriation clause is an important clause where Congress can exercise over public funds. Appropriation bills are passed annually with the provided fund covering the fiscal year, which is part of the U.S. budget & spending process.

Types of Appropriation Bills
The different types of appropriation bills are mentioned below –

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Rates of change in the natural and social Sciences
Just from $9/Page Regular Appropriation Bills: The appropriation bills cover the funding for the federal government for one fiscal year and that are enacted into law. Omnibus spending bills are often considered separately at the beginning of the fiscal year but later on combined because of Congress’s inability to pass them together. Omnibus appropriations are twelve separate pieces of legislation visuallyâ€”a. Agriculture b. Commerce, Justice, and Science c. Defense d. Energy and Water. e. Financial Services f. Homeland Security g. Interior and Environment h. Labour, Health, and Education i. Legislative j. Military & Veterans k. State & Foreign Operations. l. Transport & Housing. Continuing Resolutions: If regular appropriation bills are not enacted in time, Congress can pass a continuing resolution for a set of times. These generally continue as pre-existing appropriations with minor modifications. This kind of resolution provides funds through the same formula of previous year funding. Supplemental Appropriations Bills: This type of bill adds additional funding above and beyond what was originally appropriated at the beginning of the fiscal year. These types of bills are used for recovery from natural disasters. The Disaster Relief Appropriation Act, 2013 was passed by Congress to support victims of Hurricane Sandy. Get Professional Assignment Help Cheaply Are you busy and do not have time to handle your assignment? Are you scared that your paper will not make the grade? Do you have responsibilities that may hinder you from turning in your assignment on time? Are you tired and can barely handle your assignment? Are your grades inconsistent? Whichever your reason is, it is valid! You can get professional academic help from our service at affordable rates. We have a team of professional academic writers who can handle all your assignments. 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No need to stress and have sleepless nights. Our academic writers will tackle all your computer science assignments and deliver them on time. Let us handle all your python, java, ruby, JavaScript, php , C+ assignments! Psychology While psychology may be an interesting subject, you may lack sufficient time to handle your assignments. Don’t despair; by using our academic writing service, you can be assured of perfect grades. Moreover, your grades will be consistent. Engineering Engineering is quite a demanding subject. Students face a lot of pressure and barely have enough time to do what they love to do. Our academic writing service got you covered! Our engineering specialists follow the paper instructions and ensure timely delivery of the paper. Nursing In the nursing course, you may have difficulties with literature reviews, annotated bibliographies, critical essays, and other assignments. Our nursing assignment writers will offer you professional nursing paper help at low prices. Sociology Truth be told, sociology papers can be quite exhausting. Our academic writing service relieves you of fatigue, pressure, and stress. You can relax and have peace of mind as our academic writers handle your sociology assignment. Business We take pride in having some of the best business writers in the industry. Our business writers have a lot of experience in the field. They are reliable, and you can be assured of a high-grade paper. They are able to handle business papers of any subject, length, deadline, and difficulty! Statistics We boast of having some of the most experienced statistics experts in the industry. Our statistics experts have diverse skills, expertise, and knowledge to handle any kind of assignment. They have access to all kinds of software to get your assignment done. Law Writing a law essay may prove to be an insurmountable obstacle, especially when you need to know the peculiarities of the legislative framework. Take advantage of our top-notch law specialists and get superb grades and 100% satisfaction. What discipline/subjects do you deal in? We have highlighted some of the most popular subjects we handle above. Those are just a tip of the iceberg. We deal in all academic disciplines since our writers are as diverse. They have been drawn from across all disciplines, and orders are assigned to those writers believed to be the best in the field. In a nutshell, there is no task we cannot handle; all you need to do is place your order with us. As long as your instructions are clear, just trust we shall deliver irrespective of the discipline. Are your writers competent enough to handle my paper? Our essay writers are graduates with bachelor's, masters, Ph.D., and doctorate degrees in various subjects. The minimum requirement to be an essay writer with our essay writing service is to have a college degree. All our academic writers have a minimum of two years of academic writing. We have a stringent recruitment process to ensure that we get only the most competent essay writers in the industry. We also ensure that the writers are handsomely compensated for their value. The majority of our writers are native English speakers. As such, the fluency of language and grammar is impeccable. What if I don’t like the paper? There is a very low likelihood that you won’t like the paper. Reasons being: • When assigning your order, we match the paper’s discipline with the writer’s field/specialization. Since all our writers are graduates, we match the paper’s subject with the field the writer studied. For instance, if it’s a nursing paper, only a nursing graduate and writer will handle it. Furthermore, all our writers have academic writing experience and top-notch research skills. • We have a quality assurance that reviews the paper before it gets to you. As such, we ensure that you get a paper that meets the required standard and will most definitely make the grade. 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Rates of change in the natural and social Sciences Mathematical Description of Rate of Change Change in physical quantity can be represented as \Delta y={{y}_{2}}-{{y}_{1}}=f\left( {{x}_{2}} \right)-f\left( {{x}_{1}} \right)Î”y=y 2 â€‹ âˆ’y 1 â€‹ =f(x 2 â€‹ )âˆ’f(x 1 â€‹ ) and change in time as \Delta t={{t}_{2}}-{{t}_{1}}Î”t=t 2 â€‹ âˆ’t 1 â€‹ , then the rate of change is represented as: \frac{\text{change in }y}{\text{change in }t}=\frac{\Delta y}{\Delta t}=\frac{{{y}_{2}}-{{y}_{1}}}{{{t}_{2}}-{{t}_{1}}}=\frac{f\left( {{x}_{2}} \right)-f\left( {{x}_{1}} \right)}{{{t}_{2}}-{{t}_{1}}} change in t change in y â€‹ = Î”t Î”y â€‹ = t 2 â€‹ âˆ’t 1 â€‹ y 2 â€‹ âˆ’y 1 â€‹ Don't use plagiarized sources. Get Your Custom Essay on Rates of change in the natural and social Sciences Just from$9/Page

â€‹
=
t
2
â€‹
âˆ’t
1
â€‹

f(x
2
â€‹
)âˆ’f(x
1
â€‹
)
â€‹
and instantaneous rate of change in physical quantity with respect to time is \underset{{{x}_{1}}\to {{x}_{2}}}{\mathop{\lim }}\,\frac{f\left( {{x}_{2}} \right)-f\left( {{x}_{1}} \right)}{{{t}_{2}}-{{t}_{1}}}
x
1
â€‹
â†’x
2
â€‹

lim
â€‹

t
2
â€‹
âˆ’t
1
â€‹

f(x
2
â€‹
)âˆ’f(x
1
â€‹
)
â€‹
.

Slope of a Line
Consider two points, \left( {{x}_{1}},{{y}_{1}} \right)(x
1
â€‹
,y
1
â€‹
) and \left( {{x}_{2}},{{y}_{2}} \right)(x
2
â€‹
,y
2
â€‹
). The slope of the line can be obtained using the concept of rate of change.

We will consider in calculus, that the phrase “rate of change” represents the instantaneous rate of change. Instantaneous rate of change or slope is represented as:

\text{slope}=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}=\frac{\Delta y}{\Delta x}slope=
x
2
â€‹
âˆ’x
1
â€‹

y
2
â€‹
âˆ’y
1
â€‹

â€‹
=
Î”x
Î”y
â€‹

Consider the motion of a particle along the x-axis. So,

Three related concepts that are related to the rate of change in science are:

Position: x(t)x(t) or s(t)s(t)â€“ it determines the position of the particle on the x-axis at a given time t.

Velocity: v\left( t \right)={s}’\left( t \right)v(t)=s
â€²
(t)â€“ it determines the position of a particle which is changing with respect to time t and also the direction of movement of the particle.

Acceleration: a\left( t \right)={v}’\left( t \right)={s}”\left( t \right)a(t)=v
â€²
(t)=s
â€²â€²
(t)â€“ it determines the acceleration; the sign indicates whether the speed is an increasing speed or a decreasing speed.

Amount of Change Formula
Amount of change formula is used to determine the unknown value of the function of given degree by applying a known value of the function.

Suppose that f(x)f(x) is any function defined in an interval \left[ a,a+h \right][a,a+h].

Then, the change in amount of f(x)f(x)over the given interval is the change within the y values of the function over that interval, and is given by f\left( a+h \right)-f\left( a \right)f(a+h)âˆ’f(a).

The ratio of the change over the interval to the concerned x values is called the average rate of the function ff which is carried out as \frac{f\left( a+h \right)-f\left( a \right)}{h}
h
f(a+h)âˆ’f(a)
â€‹
.

As we already know, the instantaneous rate of change of f(x)f(x) at a is its derivative f’\left( a \right)=\underset{h\to 0}{\mathop{\lim }}\,\frac{f\left( a+h \right)-f\left( a \right)}{h}f
â€²
(a)=
hâ†’0
lim
â€‹

h
f(a+h)âˆ’f(a)
â€‹
.

For small enough values of h, f’\left( a \right)\approx f\left( a+h \right)-f\left( a \right)hf
â€²
(a)â‰ˆf(a+h)âˆ’f(a)h solve for f\left( a+h \right)f(a+h) to obtain the quantity of change formula:

f\left( a+h \right)\approx \frac{f\left( a \right)+f’\left( a \right)}{h}f(a+h)â‰ˆ
h
f(a)+f
â€²
(a)
â€‹

By using the above formula, the values of f(a)f(a) and f’\left( a \right)f
â€²
(a), we can estimate the value of f(a+h)f(a+h).

Consider an example, where the population of the country and also the rate of speed at which the population is growing are given, to estimate the population of the country within the near future.

Observe the figure below. We are approximating f(a+h)f(a+h) by the y coordinate at a+ha+h on the road tangent to f(x)f(x) at the point x=ax=a. Observe that the accuracy of this estimate depends on the value of h moreover because the value of f’\left( a \right)f
â€²
(a).

Rates of Change in the Natural and Social Sciences
In the field of Physics

The homogeneous piece of the rod with the homogeneous density is defined as mass per unit length \rho =m/lÏ=m/l and is also measured as kilograms per meter. The mass of the left point of the rod is x then, m=f(x)m=f(x). Therefore, the part of the mass of the rod that lies between {{x}_{1}}x
1
â€‹
and {{x}_{2}}x
2
â€‹
is carried out as: \Delta m=f\left( {{x}_{1}} \right)-f\left( {{x}_{2}} \right)Î”m=f(x
1
â€‹
)âˆ’f(x
2
â€‹
). The average density is \frac{\Delta m}{\Delta x}=\frac{f\left( {{x}_{1}} \right)-f\left( {{x}_{2}} \right)}{{{x}_{1}}-{{x}_{2}}}
Î”x
Î”m
â€‹
=
x
1
â€‹
âˆ’x
2
â€‹

f(x
1
â€‹
)âˆ’f(x
2
â€‹
)
â€‹
. The linear density is \rho =\underset{\Delta x\to 0}{\mathop{\lim }}\,\frac{\Delta m}{\Delta x}=\frac{dm}{dx}Ï=
Î”xâ†’0
lim
â€‹

Î”x
Î”m
â€‹
=
dx
dm
â€‹
. Thus, the linear density of the rod is the derivative of mass concerning the length of the rod.

If \Delta QÎ”Q is the net charge which passes through the surface, while given time interval is \Delta tÎ”t, then an average (electric) I=\frac{\Delta Q}{\Delta t}I=
Î”t
Î”Q
â€‹
and the current is , I=\underset{\Delta x\to 0}{\mathop{\lim }}\,\frac{\Delta Q}{\Delta t}I=
Î”xâ†’0
lim
â€‹

Î”t
Î”Q
â€‹
.

In the field of Chemistry

When two reactants, say A and B, are combined or react to form a new product C. The concentration of the reactant A is given in \frac{\text{mole}}{\text{litre}}
litre
mole
â€‹
, where (1\ \text{mole = 6}\text{.022}\times \text{1}{{\text{0}}^{23}}\ \text{molecules)}(1 mole = 6.022Ã—10
23
molecules) and it is represented as AA. The concentration of the reactants varies during the chemical reaction.

Hence the average rate of the reaction is,

\frac{dA}{dt}=\frac{A{{t}_{2}}-A{{t}_{1}}}{{{t}_{2}}-{{t}_{1}}}
dt
dA
â€‹
=
t
2
â€‹
âˆ’t
1
â€‹

At
2
â€‹
âˆ’At
1
â€‹

â€‹

In the field of Biology

The population size of an animal, humans, or plants is changes with time. So, the average rate of growth is defined as \frac{\Delta n}{\Delta t}
Î”t
Î”n
â€‹
where âˆ†n is difference in population and t is the time.

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We have highlighted some of the most popular subjects we handle above. Those are just a tip of the iceberg. We deal in all academic disciplines since our writers are as diverse. They have been drawn from across all disciplines, and orders are assigned to those writers believed to be the best in the field. In a nutshell, there is no task we cannot handle; all you need to do is place your order with us. As long as your instructions are clear, just trust we shall deliver irrespective of the discipline.

Are your writers competent enough to handle my paper?

Our essay writers are graduates with bachelor's, masters, Ph.D., and doctorate degrees in various subjects. The minimum requirement to be an essay writer with our essay writing service is to have a college degree. All our academic writers have a minimum of two years of academic writing. We have a stringent recruitment process to ensure that we get only the most competent essay writers in the industry. We also ensure that the writers are handsomely compensated for their value. The majority of our writers are native English speakers. As such, the fluency of language and grammar is impeccable.

What if I don’t like the paper?

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Reasons being:

• When assigning your order, we match the paper’s discipline with the writer’s field/specialization. Since all our writers are graduates, we match the paper’s subject with the field the writer studied. For instance, if it’s a nursing paper, only a nursing graduate and writer will handle it. Furthermore, all our writers have academic writing experience and top-notch research skills.
• We have a quality assurance that reviews the paper before it gets to you. As such, we ensure that you get a paper that meets the required standard and will most definitely make the grade.

In the event that you don’t like your paper:

• The writer will revise the paper up to your pleasing. You have unlimited revisions. You simply need to highlight what specifically you don’t like about the paper, and the writer will make the amendments. The paper will be revised until you are satisfied. Revisions are free of charge
• We will have a different writer write the paper from scratch.
• Last resort, if the above does not work, we will refund your money.

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We check all papers for plagiarism before we submit them. We use powerful plagiarism checking software such as SafeAssign, LopesWrite, and Turnitin. We also upload the plagiarism report so that you can review it. We understand that plagiarism is academic suicide. We would not take the risk of submitting plagiarized work and jeopardize your academic journey. Furthermore, we do not sell or use prewritten papers, and each paper is written from scratch.

When will I get my paper?

You determine when you get the paper by setting the deadline when placing the order. All papers are delivered within the deadline. We are well aware that we operate in a time-sensitive industry. As such, we have laid out strategies to ensure that the client receives the paper on time and they never miss the deadline. We understand that papers that are submitted late have some points deducted. We do not want you to miss any points due to late submission. We work on beating deadlines by huge margins in order to ensure that you have ample time to review the paper before you submit it.

Will anyone find out that I used your services?

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Rates of change in the natural and social sciences

The approach of behavioral science undergoes several theories and fields related to behavioral psychology. They mostly include cognitive science and social neurosciences. Hence, the concept of behavior science is used to identify and understand the adapted behavior of peoples at their respective workplaces. Most of these theories are used under behavior psychology to manage the behavior scientific approach, such as studies of Hawthorne include the scientific methods and respectively considered as the behavioral science approach. The environment of business management under behavior science is the most accepted application of this field which eventually needs various types of observations of behavior. Hence, they consider some concepts like organizational development, information processing, relationships, and motivation. In very simple words, the behavioral approach is the scientific study that connects the behavior of an individual to their mind. This study gradually builds a connection between the environmental determinants and the behavioral responses of people. Most of the psychologist or behaviorist believe that behavior of an individual can be understood and describe themselves eventually. Whereas, many modern behaviorists believe that the thought process initiates the behavior of the person which was significantly rejected by the earlier psychologists, and was referred to as cognitive science of behavior.

Organizational development:
The most primary concept of the behavioral science approach is observed in the field of organizational development. It is the most systematic and continuous process that is used by behavioral science to implement productive organizational change. The concept of organizational development includes the most required field of scientific inquiry and scientific study. According to the psychologists, organizational development also includes the concept of applied behavioral science. The applied behavioral science focuses on managing and understanding organizational changes. The basic ingredients used by the applied behavioral science are the fields of psychology and sociology. They also consider some theories of learning, motivation, and support in the employeeâ€™s development, and their personality to execute the productiveness of organizational changes. Eventually, theories and scientific studies of psychologists reveal the broad understanding of behavioral dynamics of both a group of people or an individualâ€™s behavior to implement significant organizational development. The organizational change that involves human behavior is used for empowering the organizations and facilitates them to learn, adapt, and grow to grab the advantage of the competition.

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Rates of change in the natural and social sciences
Just from $9/Page Information processing: The process of stimuli by the people through their surrounding environment can be understood and determined by using the concept of information processing. The concept of information processing handles the processing of the stimuli through their social environment. In the route of processing, they involve the cognitive system and engage the behaviors like social perceptions, decision making, and social judgment. This field of behavioral science approaches completely depends upon the processing of information that connects the ability of functioning of an individual and simultaneously the ability of an organismâ€™s survival in their social environments. Get Professional Assignment Help Cheaply Are you busy and do not have time to handle your assignment? Are you scared that your paper will not make the grade? Do you have responsibilities that may hinder you from turning in your assignment on time? Are you tired and can barely handle your assignment? Are your grades inconsistent? Whichever your reason is, it is valid! You can get professional academic help from our service at affordable rates. We have a team of professional academic writers who can handle all your assignments. Why Choose Our Academic Writing Service? • Plagiarism free papers • Timely delivery • Any deadline • Skilled, Experienced Native English Writers • Subject-relevant academic writer • Adherence to paper instructions • Ability to tackle bulk assignments • Reasonable prices • 24/7 Customer Support • Get superb grades consistently Online Academic Help With Different Subjects Literature Students barely have time to read. We got you! Have your literature essay or book review written without having the hassle of reading the book. You can get your literature paper custom-written for you by our literature specialists. Finance Do you struggle with finance? No need to torture yourself if finance is not your cup of tea. You can order your finance paper from our academic writing service and get 100% original work from competent finance experts. Computer science Computer science is a tough subject. Fortunately, our computer science experts are up to the match. No need to stress and have sleepless nights. Our academic writers will tackle all your computer science assignments and deliver them on time. Let us handle all your python, java, ruby, JavaScript, php , C+ assignments! Psychology While psychology may be an interesting subject, you may lack sufficient time to handle your assignments. Don’t despair; by using our academic writing service, you can be assured of perfect grades. Moreover, your grades will be consistent. Engineering Engineering is quite a demanding subject. Students face a lot of pressure and barely have enough time to do what they love to do. Our academic writing service got you covered! Our engineering specialists follow the paper instructions and ensure timely delivery of the paper. Nursing In the nursing course, you may have difficulties with literature reviews, annotated bibliographies, critical essays, and other assignments. Our nursing assignment writers will offer you professional nursing paper help at low prices. Sociology Truth be told, sociology papers can be quite exhausting. Our academic writing service relieves you of fatigue, pressure, and stress. You can relax and have peace of mind as our academic writers handle your sociology assignment. Business We take pride in having some of the best business writers in the industry. Our business writers have a lot of experience in the field. They are reliable, and you can be assured of a high-grade paper. They are able to handle business papers of any subject, length, deadline, and difficulty! Statistics We boast of having some of the most experienced statistics experts in the industry. Our statistics experts have diverse skills, expertise, and knowledge to handle any kind of assignment. They have access to all kinds of software to get your assignment done. Law Writing a law essay may prove to be an insurmountable obstacle, especially when you need to know the peculiarities of the legislative framework. Take advantage of our top-notch law specialists and get superb grades and 100% satisfaction. What discipline/subjects do you deal in? We have highlighted some of the most popular subjects we handle above. Those are just a tip of the iceberg. We deal in all academic disciplines since our writers are as diverse. They have been drawn from across all disciplines, and orders are assigned to those writers believed to be the best in the field. In a nutshell, there is no task we cannot handle; all you need to do is place your order with us. As long as your instructions are clear, just trust we shall deliver irrespective of the discipline. Are your writers competent enough to handle my paper? Our essay writers are graduates with bachelor's, masters, Ph.D., and doctorate degrees in various subjects. The minimum requirement to be an essay writer with our essay writing service is to have a college degree. All our academic writers have a minimum of two years of academic writing. We have a stringent recruitment process to ensure that we get only the most competent essay writers in the industry. We also ensure that the writers are handsomely compensated for their value. The majority of our writers are native English speakers. As such, the fluency of language and grammar is impeccable. What if I don’t like the paper? There is a very low likelihood that you won’t like the paper. Reasons being: • When assigning your order, we match the paper’s discipline with the writer’s field/specialization. Since all our writers are graduates, we match the paper’s subject with the field the writer studied. For instance, if it’s a nursing paper, only a nursing graduate and writer will handle it. Furthermore, all our writers have academic writing experience and top-notch research skills. • We have a quality assurance that reviews the paper before it gets to you. As such, we ensure that you get a paper that meets the required standard and will most definitely make the grade. In the event that you don’t like your paper: • The writer will revise the paper up to your pleasing. You have unlimited revisions. You simply need to highlight what specifically you don’t like about the paper, and the writer will make the amendments. The paper will be revised until you are satisfied. Revisions are free of charge • We will have a different writer write the paper from scratch. • Last resort, if the above does not work, we will refund your money. Will the professor find out I didn’t write the paper myself? Not at all. All papers are written from scratch. There is no way your tutor or instructor will realize that you did not write the paper yourself. In fact, we recommend using our assignment help services for consistent results. What if the paper is plagiarized? We check all papers for plagiarism before we submit them. We use powerful plagiarism checking software such as SafeAssign, LopesWrite, and Turnitin. We also upload the plagiarism report so that you can review it. We understand that plagiarism is academic suicide. We would not take the risk of submitting plagiarized work and jeopardize your academic journey. Furthermore, we do not sell or use prewritten papers, and each paper is written from scratch. When will I get my paper? You determine when you get the paper by setting the deadline when placing the order. All papers are delivered within the deadline. We are well aware that we operate in a time-sensitive industry. As such, we have laid out strategies to ensure that the client receives the paper on time and they never miss the deadline. We understand that papers that are submitted late have some points deducted. We do not want you to miss any points due to late submission. We work on beating deadlines by huge margins in order to ensure that you have ample time to review the paper before you submit it. Will anyone find out that I used your services? We have a privacy and confidentiality policy that guides our work. We NEVER share any customer information with third parties. Noone will ever know that you used our assignment help services. It’s only between you and us. We are bound by our policies to protect the customer’s identity and information. All your information, such as your names, phone number, email, order information, and so on, are protected. We have robust security systems that ensure that your data is protected. Hacking our systems is close to impossible, and it has never happened. How our Assignment Help Service Works 1. Place an order You fill all the paper instructions in the order form. Make sure you include all the helpful materials so that our academic writers can deliver the perfect paper. It will also help to eliminate unnecessary revisions. 2. Pay for the order Proceed to pay for the paper so that it can be assigned to one of our expert academic writers. The paper subject is matched with the writer’s area of specialization. 3. Track the progress You communicate with the writer and know about the progress of the paper. The client can ask the writer for drafts of the paper. The client can upload extra material and include additional instructions from the lecturer. Receive a paper. 4. Download the paper The paper is sent to your email and uploaded to your personal account. You also get a plagiarism report attached to your paper. PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET A PERFECT SCORE!!! Rates of change in the natural and social Sciences Suppose that in a city, the population is doubling every 4 years. What will be the population after 6 years from now? If the current population is 40,000, what was the population before 5 years? To obtain these answers, we conclude the change in physical quantity with respect to time. The average velocity is the change in position with respect to time. The change in population with respect to time gives the population quantity. Don't use plagiarized sources. Get Your Custom Essay on Rates of change in the natural and social Sciences Just from$9/Page

Amount of change formula is used to determine the unknown value of the function of given degree by applying a known value of the function.

Suppose that f(x)f(x) is any function defined in an interval left[ a,a+h right][a,a+h].

Then, the change in amount of f(x)f(x)over the given interval is the change within the y values of the function over that interval, and is given by fleft( a+h right)-fleft( a right)f(a+h)f(a).

The ratio of the change over the interval to the is called the average rate of the function ff which is carried out as frac{fleft( a+h right)-fleft( a right)}{h}
h
f(a+h)f(a)

.

As we already know, the instantaneous rate of change of f(x)f(x) at a is its derivative f’left( a right)=underset{hto 0}{mathop{lim }},frac{fleft( a+h right)-fleft( a right)}{h}f

(a)=
h0
lim

h
f(a+h)f(a)

.

For small enough values of h, f’left( a right)approx fleft( a+h right)-fleft( a right)hf

(a)f(a+h)f(a)h solve for fleft( a+h right)f(a+h) to obtain the quantity of change formula:

fleft( a+h right)approx frac{fleft( a right)+f’left( a right)}{h}f(a+h)
h
f(a)+f

(a)

By using the above formula, the values of f(a)f(a) and f’left( a right)f

(a), we can estimate the value of f(a+h)f(a+h).

Consider an example, where the population of the country and also the rate of speed at which the population is growing are given, to estimate the population of the country within the near future.

Observe the figure below. We are approximating f(a+h)f(a+h) by the y coordinate at a+ha+h on the road tangent to f(x)f(x) at the a. Observe that the accuracy of this estimate depends on the value of h moreover because the value of f’left( a right)f

(a).

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Computer science

Computer science is a tough subject. Fortunately, our computer science experts are up to the match. No need to stress and have sleepless nights. Our academic writers will tackle all your computer science assignments and deliver them on time. Let us handle all your python, java, ruby, JavaScript, php , C+ assignments!

Psychology

While psychology may be an interesting subject, you may lack sufficient time to handle your assignments. Don’t despair; by using our academic writing service, you can be assured of perfect grades. Moreover, your grades will be consistent.

Engineering

Engineering is quite a demanding subject. Students face a lot of pressure and barely have enough time to do what they love to do. Our academic writing service got you covered! Our engineering specialists follow the paper instructions and ensure timely delivery of the paper.

Nursing

In the nursing course, you may have difficulties with literature reviews, annotated bibliographies, critical essays, and other assignments. Our nursing assignment writers will offer you professional nursing paper help at low prices.

Sociology

Truth be told, sociology papers can be quite exhausting. Our academic writing service relieves you of fatigue, pressure, and stress. You can relax and have peace of mind as our academic writers handle your sociology assignment.

Business

We take pride in having some of the best business writers in the industry. Our business writers have a lot of experience in the field. They are reliable, and you can be assured of a high-grade paper. They are able to handle business papers of any subject, length, deadline, and difficulty!

Statistics

We boast of having some of the most experienced statistics experts in the industry. Our statistics experts have diverse skills, expertise, and knowledge to handle any kind of assignment. They have access to all kinds of software to get your assignment done.

Law

Writing a law essay may prove to be an insurmountable obstacle, especially when you need to know the peculiarities of the legislative framework. Take advantage of our top-notch law specialists and get superb grades and 100% satisfaction.

What discipline/subjects do you deal in?

We have highlighted some of the most popular subjects we handle above. Those are just a tip of the iceberg. We deal in all academic disciplines since our writers are as diverse. They have been drawn from across all disciplines, and orders are assigned to those writers believed to be the best in the field. In a nutshell, there is no task we cannot handle; all you need to do is place your order with us. As long as your instructions are clear, just trust we shall deliver irrespective of the discipline.

Are your writers competent enough to handle my paper?

Our essay writers are graduates with bachelor's, masters, Ph.D., and doctorate degrees in various subjects. The minimum requirement to be an essay writer with our essay writing service is to have a college degree. All our academic writers have a minimum of two years of academic writing. We have a stringent recruitment process to ensure that we get only the most competent essay writers in the industry. We also ensure that the writers are handsomely compensated for their value. The majority of our writers are native English speakers. As such, the fluency of language and grammar is impeccable.

What if I don’t like the paper?

There is a very low likelihood that you won’t like the paper.

Reasons being:

• When assigning your order, we match the paper’s discipline with the writer’s field/specialization. Since all our writers are graduates, we match the paper’s subject with the field the writer studied. For instance, if it’s a nursing paper, only a nursing graduate and writer will handle it. Furthermore, all our writers have academic writing experience and top-notch research skills.
• We have a quality assurance that reviews the paper before it gets to you. As such, we ensure that you get a paper that meets the required standard and will most definitely make the grade.

In the event that you don’t like your paper:

• The writer will revise the paper up to your pleasing. You have unlimited revisions. You simply need to highlight what specifically you don’t like about the paper, and the writer will make the amendments. The paper will be revised until you are satisfied. Revisions are free of charge
• We will have a different writer write the paper from scratch.
• Last resort, if the above does not work, we will refund your money.

Will the professor find out I didn’t write the paper myself?

Not at all. All papers are written from scratch. There is no way your tutor or instructor will realize that you did not write the paper yourself. In fact, we recommend using our assignment help services for consistent results.

What if the paper is plagiarized?

We check all papers for plagiarism before we submit them. We use powerful plagiarism checking software such as SafeAssign, LopesWrite, and Turnitin. We also upload the plagiarism report so that you can review it. We understand that plagiarism is academic suicide. We would not take the risk of submitting plagiarized work and jeopardize your academic journey. Furthermore, we do not sell or use prewritten papers, and each paper is written from scratch.

When will I get my paper?

You determine when you get the paper by setting the deadline when placing the order. All papers are delivered within the deadline. We are well aware that we operate in a time-sensitive industry. As such, we have laid out strategies to ensure that the client receives the paper on time and they never miss the deadline. We understand that papers that are submitted late have some points deducted. We do not want you to miss any points due to late submission. We work on beating deadlines by huge margins in order to ensure that you have ample time to review the paper before you submit it.

Will anyone find out that I used your services?

We have a privacy and confidentiality policy that guides our work. We NEVER share any customer information with third parties. Noone will ever know that you used our assignment help services. It’s only between you and us. We are bound by our policies to protect the customer’s identity and information. All your information, such as your names, phone number, email, order information, and so on, are protected. We have robust security systems that ensure that your data is protected. Hacking our systems is close to impossible, and it has never happened.

How our Assignment  Help Service Works

1.      Place an order

You fill all the paper instructions in the order form. Make sure you include all the helpful materials so that our academic writers can deliver the perfect paper. It will also help to eliminate unnecessary revisions.

2.      Pay for the order

Proceed to pay for the paper so that it can be assigned to one of our expert academic writers. The paper subject is matched with the writer’s area of specialization.

3.      Track the progress

You communicate with the writer and know about the progress of the paper. The client can ask the writer for drafts of the paper. The client can upload extra material and include additional instructions from the lecturer. Receive a paper.

4.      Download the paper

The paper is sent to your email and uploaded to your personal account. You also get a plagiarism report attached to your paper.

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