A particle moves along the curve y = 4x2 + 1 in such a way that the x value is increasing at the rate of 2 units per second. At what rate is y changing when x = 1?.

Answers

Answer 1

By differentiating both sides of y = 4x² + 1 with respect to time t, we have

dy/dt = 8x dx/dt

If the x value changes at a rate of +2 units/second (that is, dx/dt = 2) at the moment x = 1, then the y value changes at a rate of

dy/dt = 8 • 1 • 2 units/s = 16 units/s


Related Questions

An air conditioning manufacturer produces room air.

Answers

Answer:

sup

Explanation:

In nature during a 24 hour period green plants continuously use.

Answers

Answer:

Carbon Dioxide, or CO2

Explanation:

Plants need to breathe, otherwise they won't survive

Humans' intake oxygen and exhale CO2

However, plants intake CO2 and exhale oxygen

James is observing the population of the fish he put into a pond. He built a pond and populated it with 700 fish. The population of the fish doubles every year. Use x to represent the number of years and y to represent the population of the fish. Enter an equation that represents this scenario in the box.

Answers

Given that we have a pond with a population of  700 fish to observe from, we can use the exponential function to denote what the amount of fish will become after a particular interval of time.

Given data

Let C be the Initial population = 700

Let the number of fishes be represented as x

And let the number of years be represented as y

Hence, the expression used to represent the population of fishes is described below.

[tex]y = f(t) = C*2^{t}[/tex]

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Which method of analysis does not classify variables as dependent or independent.

Answers

The method of analysis does not classify variables as dependent or independent is cluster analysis.

Cluster analysis is a method that is used to process data in statistics. In cluster analysis, data is classified into groups based on similar characteristics the data share. For example, if cluster analysis is used to group students, students may be divided into clusters based on their gender or class.

An independent variable is the variable that is manipulated by the researcher. It is the variable that is tested to determine its effect on the dependent variable.

The dependent variable is the variable that is being measured in an experiment.

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Never set the tiger free if you live in the mountain.

Answers

The above is a proverb that essentially means that we should not engage in actions that might hurt us later.

Hypothetically speaking, you live in a mountain and one of your traps was able to capture a tiger; you then set that tiger free out and one day it attacks and kills you.

If you had killed the tiger after you caught it, you would still be alive. This is the purpose of the proverb - to say that if you have an opportunity to avoid future danger, take it.

In conclusion, deal with things now before they become problems later.

Find out more about this proverb at https://brainly.com/question/9704672.

Sun estimated the quotient of –23. 514 and –3. 98 by rounding each to the nearest integer. Which equation shows the correct estimation? negative 23. 514 divided by negative 3. 98 negative 24 divided by negative 4 = 6 negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8.

Answers

Answer:Sun estimated the quotient of –23. 514 and –3. 98 by rounding each to the nearest integer. Which equation shows the correct estimation? negative 23. 514 divided by negative 3. 98 negative 24 divided by negative 4 = 6 negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8.

Explanation: 64

Plz don’t answer if you don’t know the answer and thank you if you helped me god may bless u

From Father's Choice
(Page 56)
Father avoids Mother when she is ill rather than trying to cure or even comfort her before
dying. Write a paragraph explaining what you think is going on in his mind.


Book: Mechanica by Betsy Cornwell

Answers

Answer:

Explanation:

The Father is proably tramatized but he  wants to stay strong for mother,considering the fact that she is about to die. He is proably very hesterical but, must stay strong because it will make mother sad,and she will die dissapponted. He is thinking that if he cries or if he tries to make it better it will only make the situation worse. He feels like e is going to ruin something if he tries to stay with Mother. It's better to stay away because it's only gonna hurt Father because Mother is already heading home.

The graph of y=f(x) is shown above. Which of the following could be the graph of y=f′′(x)?.

Answers

The true statement about the graph of f(x) is [tex]f(x) = \frac 35x + 3[/tex]

The graph of f(x) is a straight line that passes through the points (-5,0) and (0,3).

Start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{3-0}{0--5}[/tex]

Simplify

[tex]m = \frac{3}{5}[/tex]

The equation of the line is then calculated as:

[tex]y = m(x -x_1) + y_1[/tex]

This gives

[tex]y = \frac 35(x -0) + 3[/tex]

Open bracket

[tex]y = \frac 35x + 3[/tex]

Express y as a function of x

[tex]f(x) = \frac 35x + 3[/tex]

Hence, the true statement about the graph of f(x) is [tex]f(x) = \frac 35x + 3[/tex]

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Which of the following men supported u. S expansionism in the pacific?.

Answers

it is wrong answer and bye

Answer:

William Jennings Bryan

Alfred Thayer Mahan

Emilio Aguinaldo

Explanation:

Which best describes how the human circulatory and respiratory systems interact.

Answers

Answer:

The respiratory system provides oxygen for cells, while the circulatory system transports oxygen to cells. C. The respiratory system breaks down food for cell energy, while the circulatory system rids the body of waste.

Hebrews begins by asserting that jesus is greater than.

Answers

I have it for me please than how Jesus

Which applicants would be best suited for which jobs based on educational and training?.

Answers

Mona is best suited for the job which is Stationary Engineer Because She have experience as a Pump operator, she is best suited for system operator and also power distributor.

All these are the works of a Stationary Engineer.

Who is a Stationary Engineer?

A Stationary Engineer is a person who is trained to operate, repair and maintain Boiler, pumps and heat pumps.

Therefore,Mona is best suited for the job which is Stationary Engineer Because She posses relevant skills and experience as Pump operator, system operator and also power distributor.

The question is incomplete but the options was gotten from brainly website.

Here are the options.

Boris is best suited to be an Electrician, Jody is best suited to be a Hydroelectric Production Manager, Mona is best suited to be a Power Dispatcher, and Boyd is best suited to be a Pipefitter. Boris is best suited to be a Petroleum Engineer, Jody is best suited to be a Meter Reader, Mona is best suited to be a Pump Operator, and Boyd is best suited to be a Stationary Engineer. Boris is best suited to be a Surveyor, Jody is best suited to be an Electrical Power-Line Installer, Mona is best suited to be a Systems Operator, and Boyd is best suited to be a Boiler Operator. Boris is best suited to be a Power Distributor, Jody is best suited to be a Petroleum Engineer, Mona is best suited to be a Power Distributor, and Boyd is best suited to be a Geothermal Technician.

There is no verified link for verified answer on Stationary Engineer on brainly.

Answer:

Im gonna say A
Im very very sorry if Im incorrect

anyway

AVOCADOS FROM MEXICO

Explanation:

A force of 30 n stretches a very light ideal spring 0. 73 m from equilibrium. What is the force constant (spring constant) of the spring?.

Answers

According to Hooke's law, a 30-N force stretches a spring by 0.73 m if the spring constant k is such that

30 N = k (0.73 m)

k = (30 N) / (0.73 m)

k ≈ 4.1 N/m

In order to clear out room for new merchandise, james decided to mark down some of the items for sale in his electronics store. He marked down dvd players by 36%, and he marked down stereo tuners by 22%. If dvd players cost $41. 60 after the markdown and stereo tuners cost $69. 42 after the markdown, which item’s price was reduced by more, and by how many dollars more was it reduced? round all dollar values to the nearest cent. A. The dvd player’s price was reduced by $3. 82 more than the stereo tuner’s price. B. The dvd player’s price was reduced by $27. 82 more than the stereo tuner’s price. C. The stereo tuner’s price was reduced by $0. 29 more than the dvd player’s price. D. The stereo tuner’s price was reduced by $27. 53 more than the dvd player’s price.

Answers

The dvd player’s price was reduced by $3. 82 more than the stereo tuner’s price.

Let the cost price of dvd players be D.Let the cost price of stereo tuners be S.

Given the following data:

Markdown for dvd player = 36%Markdown for stereo tuner = 22%Markdown cost for dvd player = $41.60Markdown cost for stereo tuner = $69.42

To determine which item’s price was reduced by more, and by how many dollars:

First of all, we would calculate the cost price of each item.

For dvd players:

Note: You'll pay 64% since it was markdown by 36%.

[tex]\frac{64}{100} \times D = 41.60\\\\64D=41.60 \times 100\\\\64D=4160\\\\D=\frac{4160}{64}[/tex]

D = $65

Reduction: Dvd player = [tex]65-41. 60=[/tex] $23.40

For stereo tuners:

Note: You'll pay 78% since it was markdown by 22%.

[tex]\frac{78}{100} \times S = 69.42\\\\78S=69.42 \times 100\\\\78S=6942\\\\S=\frac{6942}{78}[/tex]

D = $89

Reduction: Stereo tuner = [tex]89-69. 42=[/tex] $19.58

Now, we can calculate the difference in reduction of the cost price of both items:

[tex]Difference = 23.4 -19.58[/tex]

Difference = $3.82

Therefore, the price of the dvd players was reduced by $3. 82 more than the price of the stereo tuners.

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The bottleneck effect is the loss of genetic diversity that occurs when.

Answers

It occurs when the size of a population is severely reduced.

How does rosa parks help the reader understand her emotions in this excerpt? by describing in detail the order of what happened to her by comparing her feelings to those of other prisoners she met by sharing the exact dimensions of the prison cell she was put in by explaining how her feelings were expressed as pain in her body.

Answers

Answer: D.) by explaining how her feelings were expressed as pain in her body

Explanation: D.) by explaining how her feelings were expressed as pain in her body

edg 2021 (12/30/21)

Answer:

D. by explaining how her feelings were expressed as pain in her body

Explanation:

edge2022:)

How many points of intersection are there between the graphs of the hyperbola and ellipse?
3x2 + 4y2 + 3x – 2y+3 = 0
322 – 2y2 + 3x – y +3=0

0
2
3
4

Answers

Answer:

4

Explanation:

Amylase is an enzyme that converts carbohydrate polymers into monomers. Glycogen synthase is one of the enzymes involved in converting carbohydrate monomers into polymers. Which of the following best explains the reactions of these enzymes?.

Answers

Amylase break covalent bonds whereas glycogen synthase form covalent bonds.

Amylase is an enzyme that aids in the addition of a water molecule to break covalent bonds thereby converting carbohydrate polymers into monomers whereas glycogen synthase aids in the removal of a water molecule to form covalent bonds converting carbohydrate monomers into polymers.

Find out more on enzyme at: https://brainly.com/question/361714

Aiden is aware of the causes of type 2 diabetes. What can he do to help decrease his likelihood of developing the disease? drink more coffee read more books eat more vegetables play more board games.

Answers

Eat more vegetables
They are healthy so it will decrease getting diseases and the other options don’t help decrease the chances

Answer:

eat more veggies

Explanation:

The nitrogen atoms in a molecule of n2 share a total of.

Answers

Answer: 6!!!

Explanation:

A mother bring her 2-year old child to the clinic because of her concerns about the child's nutritional status. She tells the nurse that for the last week the child has refused to eat anything except animal crackers, and peanut butter and jelly sandwich. Which of the following measures would be most appropriate for the nurse to suggest?.

Answers

Considering the situation described above, the measures that would be most appropriate for the nurse to suggest is that the mother should not offer the child snacks so that the child is hungry and subsequently offer the child the main meal.

What is Main Meal?

The main meal is the conventional food prepared to serve breakfast, lunch, or dinner.

In this situation, given that the child only eats animal crackers and peanut butter and jelly sandwich, which is a form of snacks or junk, the only way to make the child eat good food is to starve him from snacks and only serve his main meal.

Hence, in this case, it is concluded that main meals have nutritional value than snacks and junk.

Learn more about the Main meal here: https://brainly.com/question/19769528

How should you protect a printed classified document.

Answers

Answer:

There are many ways you could answer this question.

Explanation:

If it is a physicl copy, you should store it with your other important doncuments of course, or have protective sheets on or around it for safety. If you are talking legally, a notarized document is always going to be more official that a non notarized document, so if you get it notarized, then you can protect yourself and the importance of the document legally.

What would happen if our bodies could not metabolize glucose?.

Answers

Answer: When insulin is not working as it should, blood sugar can build up, eventually spilling over into your urine. This can lead to diabetes symptoms such as increased urination and unexplained weight loss, since your body isn't able to use the energy from the foods you eat.

Picture:

Which composition of similarity transformations maps polygon abcd to polygon a'b'c'd'? a dilation with a scale factor of and then a rotation a dilation with a scale factor of and then a translation a dilation with a scale factor of 4 and then a rotation a dilation with a scale factor of 4 and then a translation.

Answers

Answer:

B a dilation with a scale factor of 1/4 and then a translation

Explanation:

on edgenunity

Answer:

B

Explanation:

Plagiarism is unethical because it implies that __________. A. All of the sources used are only helpful for limited purposes b. The author being plagiarized endorses the plagiarized work c. The work that one has plagiarized is an original creation d. One doesn’t care about the confidentiality of the research please select the best answer from the choices provided a b c d.

Answers

Answer: D

Explanation:

I know for sure it is not c because if you can plagiarize something that has already been plagiarized therefore it is not original work

Is this statement true or false?Gas giants all have a cold atmosphere and a hot core.

Answers

False if I remember correctly

Read this excerpt from king arthur's socks: a comedy in one act. Guenevere: (unable to bear it) please, mary, please! what does the stage direction reveal about guenevere? she is not sympathetic to the plight of women who do not conform. She is too busy with her darning to be concerned with the help. She is upset with her servant’s romantic attitude. She is not ready to hear any more modernistic ideas.

Answers

Answer: D. She is not ready to hear any more modernistic ideas.

0. 29 is greater than 0. 3.

Answers

no it is not great than that

Heitor was exposed to a bomb blast and has a focal brain injury to the human analog of area mt. When presented with visual stimuli heitor would not show:.

Answers

Considering the situation described above, when presented with visual stimuli heitor would not show emotion or empathy.

What is the effect of Focal Brain Injury?

The effect of Focal brain injury has been found to cause damage to the frontal pole causing changes in the individual's behavior and emotions.

Generally, A focal brain injury in a person has been attributed to the inability to recognize other people's emotions or another person's feelings.

Hence, in this case, it is concluded that the correct answer is "heitor would not show emotion or empathy."

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Which of the following was a common justification in the united states for the trend depicted in the map?.

Answers

Answer:

XPERIA 1 II the best thing to remember is that you have can be your own in the world of the world of the your best business cards and the your first business plan cards are you to buy be your used car

Explanation:

I Too have can you it me a good price on a new one price and a price little more as well I think have a good you will can find it

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