dy÷dx=(x-1)(x+3) at x=2​

Answers

Answer 1

Answer:

[tex]\dfrac{dy}{dx}=\dfrac{4}{25}[/tex]

Explanation:

The given expression is :

[tex]y=\dfrac{(x-1)}{(x+3)}[/tex]

We need to find dy/dx at x = 2

[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}(\dfrac{x-1}{x+3})\\\\=\dfrac{(x+3)\dfrac{d}{dx}(x-1)-(x-1)\dfrac{d}{dx}(x+3)}{(x+3)^2}\\\\=\dfrac{x+3-(x-1)}{(x+3)^2}\\\\=\dfrac{x+3-x+1}{(x+3)^2}\\\\\dfrac{dy}{dx}=\dfrac{4}{(x+3)^2}[/tex]

Put x = 2 in above expression

[tex]\dfrac{dy}{dx}|x=2=\dfrac{4}{(2+3)^2}\\\\=\dfrac{4}{25}[/tex]

Hence, the value at dy/dx is [tex]\dfrac{4}{25}[/tex]


Related Questions

18
What part of the water cycle is represented by arrow Y?
w
(z
A evaporation
B precipitation
condensation
D runoff

Answers

B. precipitation

Rain,snow, sleet or hail are all a form of precipitation. And looking at that picture Y would be rain :)

Answer:b

Explanation:

Scientists can identify the gene mutated in a bacterial auxotroph by transforming the cells with a genomic library in which fragments of the auxotroph's genome have been cloned into plasmids.
a. True
b. False

Answers

Answer: false

Explanation: this can only be true if the genes in the genomic library fragments have been identified and if the mutation is an SNP and not an inversion or deletion or insertion, whether they were cloned into plasmids or not.

Question 43 of 100
In the "Habit Loop", the actual "behavior" is called the:
a. Cue
b. Routine
c. Craving
d. Reward
Next Previous

Answers

Answer:

The Habit Loop is a neurological loop that governs any habit. The habit loop consists of three elements: a cue, a routine, and a reward.

20 points!!!!!!
Do prokaryotes have ribosomes? Why?

Answers

Answer:

yes they do because every cell needs ribosomes to manufacture proteins  

Answer:

yes because all the cells need ribosomes in order to make proteins

 

Explanation:


How has the size of U.S. farms changed since World War II?

Answers

Answer:

Farmers Produce More Food for War in World War II. As the war approached, it got worse for farmers before it got better. Farming exports fell 30 to 40 percent below the average of the ten depression years that preceded the war. Grain exports, for example, fell 30 percent in one year between September 1939 and 1940.

Explanation:

Pyruvate is broken down in the ______ cycle where the waste carbon dioxide is produced. Where does this cycle take place?

Answers

Answer:

Pyruvate is broken down in the Krebs Cycle where the waste carbon dioxide is produced.

The Krebs Cycle occurs in the mitochondria and requires oxygen (aerobic).

-Converts pyruvate into CO2

-Products: Co2, NADH, FADH2, 2 ATP

The answer would be the Krebs cycle :)

write about cells in one paragraph​

Answers

Answer:

Cell, in biology, the basic membrane-bound unit that contains the fundamental molecules of life and of which all living things are composed. A single cell is often a complete organism in itself, such as a bacterium or yeast. Other cells acquire specialized functions as they mature

Explanation:

When you hear a piece of music, your brain processes the sound information
so that you are aware of it. Most of this processing occurs in the
- mind,
A. selective attentive
B. unconscious
C. conscious
D. preconscious

Answers

Answer:

I THINK IT IS C OR D I HOPE IT WILL HELP

At the time when we hear the piece of music so here the processing should arise in the unconscious mind. The option b is correct.

What is the unconscious mind?

It is considered as a reservoir of feelings, thoughts, and memories that should be outside of our conscious awareness.

The unconscious comprises the contents that are non-accepetable or unpleasant, like feelings of pain, anxiety.

Hence, we can say that the option b is correct.

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PLEASEEE HELPPP! IT WOULD MEAN ALOT!

Answers

Answer:

umm i would help but i dont know what this is i'll try

Explanation:

avradge star:white dwarf, nutron star

massive star:super nova, planitary nubla

Define Physical Properties?

Answers

Answer:

A physical property is any property that is measurable, whose value describes a state of a physical system. The changes in the physical properties of a system can be used to describe its changes between momentary states. Physical properties are often referred to as observables. They are not modal properties.

Control and Data

a tentative, testable scientific explanation

useful for determining the effect of the independent variable

Answers

Answer:

cacacacacacacacacacacacacacacaca

Answer:

kkdm

Explanation:

kmlnui

which is correct and explain .plz help.image is attached​

Answers

Electric is the answer to your question

Which of the following is true of the water at the bottom of the ocean?
It contains the most salt.
It is particularly rich in nutrients.
It will be the warmest water in the region.
There are very few organisms that can survive there.

Answers

Answer: it is particularly rich in nutrients

Explanation:

A team from New York Presbyterian hospital is conducting a study about a recent increase in cases involving both excess sweating and kidney stones. What would the team need before it draws a conclusion about the cases?

A. medications that are specifically designed to treat the sickness

B. machines that are built to process blood and reduce symptoms until patients are healthy again

C. data that profile the various patients who report these symptoms

D. proof that the excess sweating is related to the excessive kidney stones

Answers

Answer:

C the data the profile symptoms

Explanation:

The team that required prior to drawing the conclusion related to the case should be option c. where the profile shows the symptoms of various patients.

Reasons for excess sweating and kidney stones:

The main reason of excessive sweating is the dehydration that means we are not drinking sufficient water due to which the risk of the kidney stones should be increased.

If the protein diet is high, or there is high salt intake, or high sugar intake due to this also the stones chances are high.

Therefore, the option c is correct.

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Explain how the conversation of wetlands to farmlands has impacted stream and rivers

Answers

Answer:

Wetland reduction has caused a decrease in the absorption zones for excess water. If the excess water cannot be absorbed by the soil, it increases the incidence and magnitude of flooding.

The conversation of wetlands to farmlands has impacted stream and rivers as the Wetland reduction has been caused the decrease in the absorption zones for excess water. If the excess water cannot be absorbed by the soil, it increases the incidence and magnitude of flooding and this can be achieved by sustainability.

What is the process of achieving Sustainability?

Sustainability can be achieved through careful resource management. By managing the resources and making proper use without wasting them ensures sustainability. The concept of sustainability demands careful and responsible people working towards a common goal of resources management.

A union is a term that refers to the association of workers of a company with the aim of defending and promoting their labor interests to the employer. The strike is a protest in which its members refrain from carrying out the activity they normally carry out to the detriment of those to whom they direct their claims.

Therefore, If the excess water cannot be absorbed by the soil, it increases the incidence and magnitude of flooding and this can be achieved by sustainability.

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https://brainly.com/question/13353436

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What are the properties of water that you can observe when transpiration takes place?

Answers

Answer:

When water evaporates through the leaves, a pull is created through the xylem, and water moves back to the leaves. This is known as the transpiration pull.

PLEASE HELp
The very slow movement of the continents is called _______________. *

Answers

Answer:

continental drift..........

HELPP ASAPP PLEASE !!!!

Answers

Answer:

galaxy x and z

Can you see individual cell without a microscope?

Please help me

Answers

No you can’t because the object has to be at least 0.1 Millimeters long to be visible

Which of the following is an example of osmosis?

Answers

Explanation/answer: Glucose is transported from our blood stream across cell membranes and into the cytoplasm. Sodium is pumped across a cell to increase its concentration on one side of the cell membrane.

What is Anaerobic respiration?

Answers

Answer:

"Anaerobic respiration is the process of creating energy without the presence of oxygen. Sometimes the body can't supply the muscles with the oxygen it needs to create energy – such as in a sprinting situation."

I hope this helped!

Answer:

The release of a relatively small amount of energy by the breakdown of food substances in the absence of oxygen. Glucose is broken down to release energy in the absence of oxygen, forming lactic acid in muscle tissue, or alcohol plus carbon dioxide in yeast and plants.

Explanation:

food is important for growing amd repairing in the body. ny which process is food broken down into nutrient molecules​

Answers

Answer:

Digestion proper, which is the mechanical and chemical breakdown of food into particles/molecules small enough to pass into the blood. Absorption is the passage of food monomers into the blood stream. Assimilation is the passage of the food molecules into body cells.

Why is mitosis so important? 3 complete sentences

Answers

Answer:

Mitosis is important because it is essential for growth and repair in the body. Mitosis happens when a parent cell divides, creating two identical copies, referred to as daughter cells. During this process, it is essential that the daughter cells are exactly the same with the same copies of DNA.

Explanation:

In the image of the food chain below the ____ is the producer.

A. Fungi

B. Hawk

C. Plants

D. Snake

Answers

Answer:

A

Explanation:Producers, also known as autotrophs, make their own food. SO its A

a
fungi is the answer

When practicing deep breathing, it is best to repeat the steps for minutes to start and then increase the time as needed.

Answers

Answer:

10- 15

Explanation:

When practicing deep breathing, it is best to repeat the steps for minutes to start and then increase the time as 10 to 15 minutes.

What is deep breathing?

Deep breathing is also called diaphragmatic breathing, abdominal breathing, abdominal breathing, and step breathing. As you take a deep breath, the air entering through your nose fills your lungs completely and lifts your lower abdomen.

Deep breathing seems unnatural to many of us. There are multiple reasons for this. For one thing, body image in our culture negatively affects breathing. Women (and men) tend to pull their abs together because flat bellies are considered attractive. This impedes deep breathing and gradually causes shallow "chest breathing" to appear normal, increasing tension and anxiety.

Shallow breathing limits the range of motion of the diaphragm. The lowest part of the lungs does not get enough oxygenated air. This can make you feel short of breath and anxious.

Deep abdominal breathing promotes complete oxygen exchange. That is, the beneficial exchange of incoming oxygen for outgoing carbon dioxide. Not surprisingly, it can slow the heart rate and lower or stabilize blood pressure.

Therefore, When practicing deep breathing, it is best to repeat the steps for minutes to start and then increase the time as 10 to 15 minutes.

To learn more about breathing, refer to the link:

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Fog will usually form if the temperature and _______ match.

Answers

Answer:

dew point

Explanation:

i looked it up but i could be wrong

Answer:
dew point

Explaination:


Glycemia refers to the amount of glucose in a person's blood. What does it mean that the patient was
hyperglycemic? Why did this affect the doctor's decision to give the patient a normal IV?

Answers

Explanation:

A person that is Hyperglycemia has a high blood pressure causing problems, iv help maintain people blood sugar if u use a normal iv it might cause a high blood pressure can cause blood clot to form in your arteries leading to the brain blocking blood flow causing a stroke. I hope this helps

The opening and closing of _____________in your heart create the lub-dub sound and prevent the backflow of blood.

What goes in the blank?

Answers

Answer:

Heart valves or the closure of the mitral and tricuspid atrioventricular (AV) valves at the beginning of ventricular systole and the closure of the aortic valve and pulmonary valve at the end of ventricular systole.

Explanation:

The heart tone “lub,” or S1, is caused by the closure of the mitral and tricuspid atrioventricular (AV) valves at the beginning of ventricular systole.

The heart tone “dub,” or S2 ( a combination of A2 and P2), is caused by the closure of the aortic valve and pulmonary valve at the end of ventricular systole.

An animal cell lacking oligosaccharides on the external surface of its plasma membrane would likely be impaired in which function ?​

Answers

Answer:

This question lacks options, the options are:

A) transporting ions against an electrochemical gradient

B) cell-cell recognition

C) maintaining fluidity of the phospholipid bilayer

D) attaching to the cytoskeleton

E) establishing the diffusion barrier to charged molecules

The answer is B

Explanation:

Generally, oligosaccharides are short chains of polysaccharides/carbohydrates. They make up the structure of membranes including the plasma membrane. Oligosaccharides attached to the protein content of the cell membrane to form a substance called GLYCOPROTEIN. The attached oligosaccharides functions in the ability for a cell to recognize another cell.

According to this question, if an animal whose cell is lacking oligosaccharides on the external surface of its plasma membrane, the most likely impairment would be that of CELL-CELL recognition.

Oligosaccharides are a type of carbohydrates that contain the combination of a few monosaccharides. The are also found as part of the components of the membrane.

If an animal cell lacks this type of carbohydrates (oligosaccharides), the function impaired would be the cell-cell communication function.

Oligosaccharides performs various functions as part of the component of the plasma membrane. It functions in cell to cell recognition and binding and communication. They usually contain 3-10 sugar units (monosaccharides).

Learn more: https://brainly.com/question/22301340

Can u help me please the graph is on the other question that I had just recently asked please and thanks.

Answers

Answer:

16. They would compare it the other strand of DNA from other organisms and try to see which one is most similar to organism x

for 17 and 18 could u post the graphs

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