Let y=f(x) be a twice-differentiable function such that f(1)=3 and dydx=4y2+7x2−−−−−−−√. What is the value of d2ydx2 at x=1 ?.

Answers

Answer 1

Answer:

55

Explanation:

Find the derivative of [tex]\frac{dy}{dx}[/tex] to get [tex]\frac{d^2y}{dx^2}[/tex] .

4[tex]\sqrt{y^2+7x^2}[/tex] = 4([tex]y^{2}[/tex]+7[tex]x^{2}[/tex])^1/2

[tex]\frac{d^2y}{dx^2}[/tex] = 4(1/2)([tex]y^{2}[/tex]+7[tex]x^{2}[/tex])^-1/2 * (2y[tex]\frac{dy}{dx}[/tex] +14x)

Plug in x=1 and y=3.

2(9+7)^-1/2 * (6[tex]\frac{dy}{dx}[/tex] +14)

2(1/4) * (6[tex]\frac{dy}{dx}[/tex] +14)

(1/2) (6[tex]\frac{dy}{dx}[/tex] +14)

3[tex]\frac{dy}{dx}[/tex] +7

Plug in [tex]\frac{dy}{dx}[/tex].

3(4[tex]\sqrt{y^2+7x^2}[/tex] ) +7

Plug in x=1 and y=3.

3(4[tex]\sqrt{9+7}[/tex] ) +7

3(4[tex]\sqrt{16}[/tex] ) +7

3(4*4)+7

3(16)+7

48+7

55


Related Questions

Sally and ann are trying to move a box across the floor. Sally is pushing the box to the right with a force of 100n and ann is pulling the box with a force of 50n to the right. What is the magnitude and direction of the box?.

Answers

Answer:

150N to the right...

Explanation:Force acting on the box applied by Sally,  F1= 100 N (right side)

Force acting on the box applied by Ann,  F2= 50 N (right side)

It is clear that the two forces are acting on same direction. Let right side is positive direction. So, F= F1 + F2

                                      F= 100+50

                                       F=150 N

 The direction of the box is towards the right side. So, the correct option is 150 N to the right... Hope this helps... Plz mark me brainliest.... Stay safe and have a great weekend!!! :D

Acrostic poem of energy.

Answers

Answer:

Eat foods that can give you energy like natural foods, carbohydrates, and protein.

Nutrition  is an important part of your health so make sure to check nutrition facts.

Exercise to keep your blood, heart, and your body moving.

Really try not to eat a lot of junk food because it can keep you from being healthy.

Grow by also being in a good mood because when your sad it decreases energy.

You can keep up your energy by following these amazing steps.

Explanation:

So just don't get overwhelmed and you'll make it out.

Answers

the answer you have stated is in fact correct, “you will make it out sometimes”

When you float an ice cube in water, you notice that 90% of it is submerged beneath the surface. Now suppose you put the same ice cube in a glass of some liquid whose density is less than that of water.

Answers

Answer:

option c

Explanation:

90% of the body is submerged in water.

Now it is immersed in an unknown liquid whose density is less than the density of water.

Buoyant force acting on the body depends on the volume immersed, density of liquid and gravity.

As the density of liquid is less than the density of water, so the buoyant force acting on the body by the unknown liquid is less than water. So it is submerged less than 90% in this liquid.

List at least two facts you learned from your research that you could use when writing the opening statement. Remember to include information that is relevant to the main problem you are investigating.

Answers

Two facts that I learned during my research were narrowing down the research topic and setting appropriate goals.

When doing research, several aspects must be taken into account so that the research has good results and produces new knowledge. Here are two tips for proper research:

1. Limit the subject of the investigation: When conducting an investigation it is necessary to limit the subject so that it is easier to achieve an effective result. For example, time limits, a specific place, and more special aspects should be set to make the investigation more specialized.

2. Establish adequate objectives: When conducting an investigation it is necessary to establish objectives that can be achieved in the investigation. Highly ambitious goals can make research and information search difficult.

Learn more about investigation in: https://brainly.com/question/1191670

Answer:

-The cost of college has risen faster than inflation for many years.

-The high price of student services and administration are two reasons for the rapid increase in cost.

Explanation:

good luck guys

According to the electron-cloud model of the atom an orbital is a.

Answers

Answer:

orbital is a axis where electron revolvs

Where are my smart friends?? i had $3. 0. My mom gave $10. 0. My dad gave $30. 0. My aunt and uncle gave me $100. 0. I had another $7. 0. How much did i have?.

Answers

Answer:

150$ you have as you have noticed

A family has two cats named gordo and flaco. Gordo weighs 15 pounds and flaco weighs 8 pounds. A cat’s weight is classified as unhealthy if the weight is located in the top 5% or bottom 5% of all cat weights. The distribution of cat weights is approximately normal with mean 9. 5 pounds and standard deviation 1. 5 pounds. Which of the following is the best description of gordos and flacos weights?.

Answers

Yea I’m going home with you and I don’t have to go to do homework and I’m done ✔️ go to bed early

Pain does all of the following things except.

Answers

Answer:

A. indicate potential danger in environment

Explanation:

A consumer group is investigating the number of flights.

Answers

Is this all that is there?

Why does the reactivity of metals increase from right to left.

Answers

The outer electron shell of all of the noble gases (Neon, Argon, etc) have a complete octet (except helium which only has and only needs two electrons to complete its valence shell) which makes them very stable and nonreactive. The metals on the left (Na, Li, etc) all contain just one electron in their outer shell which makes them unstable and they tend to form ionic bonds.

Note that the column of elements just to the left of the noble gases (the rightmost column save one), the halogens, is also highly reactive, because the halogens all only need a single elecron to form the "stable octet" in the outer shell.

Tasha has mass 20 kg and wants to use a 4. 0-m board of mass 10 kg as a seesaw. Her friends are busy, so tasha seesaws by herself by putting the support at the system's center of gravity when she sits on one end of the board. How far is she from the support point?.

Answers

Answer:

0.67 m

Explanation:

Mass of Tasha, m1 = 20 kg Mass of the board, m2 = 10 kg

0.67 m is correct for Tasha has mass 20 kg and wants to use a 4.0-m board of mass 10 kg as a seesaw. Her friends are busy, so Tasha seesaws by herself by putting the support at the system's center of gravity when she sits on one end of the board.

(Hope this helps can I pls have brainlist (crown)☺️)

Identify the molecular geometry around the carbon atom highlighted red in the given organic molecule.

Answers

The detached carbon has a tetrahedral geometry.

We can arrive at this answer because:

Carbon can make 4 bonds with other atoms.This is because carbon has 4 electrons in its valence layer.When carbon makes 4 single bonds with other atoms it manages to assume a tetrahedral molecular geometry.

From questions similar to yours, it is possible to find the image that your question refers to. This image is attached below and on it, we can see that the carbon in red makes 4 single bonds, assuming the tetrahedral geometry.

More information:

https://brainly.com/question/4136279?referrer=searchResults

A retailer is able to track which products draw the most attention from its customers through the use of 5g-enabled motion sensors placed around the store. With this knowledge, the retailer can supply the proper amount of products to meet customer demand.

Answers

There is a wide spread of 5g technology. The technology that combines with  5G capabilities and used in the monitoring of the shopping trends is the Internet of Things.

The Internet of things is known to explain real or physical objects that are found along with sensors, processing ability, software, and other technologies.

They act by connecting and exchanging data with other devices and systems through the Internet or other communications networks.

The examples of Internet of Things are:

Connected appliances. Smart home security systems.  Wearable health monitors etc.

See full question below

A retailer is able to track which products draw the most attention from its customers through the use of 5G-enabled motion sensors placed around the store. With this knowledge, the retailer can supply the proper amount of products to meet customer demand.

Which technology combines with 5G capabilities to allow the monitoring of shopping trends in this way?

platooning

network slicing

internet of things

beamforming

Learn more from

https://brainly.com/question/24410023

Solve for x. 9(x + 1) = 25 + x x = 2 x = 3 x = 4 x = 5.

Answers

Answer:

[tex]\boxed{\boxed{\sf x=2}}[/tex]

Explanation:

[tex]\sf 9(x + 1) = 25 + x[/tex]

*Apply Distributive property*

[tex]\leadsto\sf 9x+9=25+x[/tex]

Subtract 9 from both sides:

[tex]\leadsto\sf 9x+9-9=25+x-9[/tex]

[tex]\leadsto\sf 9x=x+16[/tex]

Subtract x from both sides:

[tex]\leadsto\sf 9x-x=x+16-x[/tex]

[tex]\leadsto\sf 8x=16[/tex]

Divide both sides by 8:

[tex]\leadsto\sf \cfrac{8x}{8}=\cfrac{16}{8}[/tex]

[tex]\leadsto\sf x=2[/tex]

_________________________________________

If a unit price label has a unit price of 21. 5 cents per pound, how much is the total price for an 8 pound package? a. $0. 37 b. $1. 72 c. $2. 69 d. $17. 20.

Answers

Answer:

b $1.72

Explanation:

21.5 cents for 1 pound

p for 8 pounds

p = 8 * 21.5

= 172 cents

= $172 / 100

= $1.72

Which situation describes an object that has no unbalanced force acting on it.

Answers

The situation which best describes an object that has no unbalanced force acting on it is: A hockey puck moving at constant velocity across ice.

A force can be defined as a push or pull of objects, which typically results in a change of motion due to the interaction of the object with another.

In Science (Physics), there are two (2) main types of force and these are:

Balanced force.Unbalanced force.

An unbalanced force is a type of force that occurs when two or more forces acting on an object are unequal in magnitude and as such, it typically results in a change of motion.

Hence, a hockey puck that is moving at a constant velocity across ice has no unbalanced force acting on it because it won't experience a change of motion.

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A 400-kg box is lifted vertically upward with constant velocity by means of two cables pulling at 40. 0° on either side of the vertical direction. What is the tension in each cable?.

Answers

Answer:

2558 N.

Explanation:Each rope takes half, so the vertical component of the force on each rope is half of this, or 1960 N.. But they are pulling at a 40 degree angle, so if t is the tension then t*cos(40) = 1960. This gives t = 2558 N.

A company upgraded production machinery to capture data about the fit tolerance for assembled parts of each unit produced. Before the upgrade, inspectors created the same data by sampling 10 percent of units produced. The upgrade represents an increase in.

Answers

The upgrade in production machinery to capture data about the fit tolerance for assembled parts of each unit produced represents an increase in: data volume.

Big data can be defined as huge collections of data that are typically difficult for users to process, analyze, and manage through the use of conventional data tools.

Basically, big data comprises five (5) "Vs" and these are:

VelocityVeracityValueVarietyVolume

Data volume refers to the amount of data that are stored in a database by an organization for analysis and processing. Thus, data volume represents an organization's data size.

In this scenario, the upgrade in production machinery to capture data about the fit tolerance for assembled parts of each unit produced represents an increase in data volume.

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Which of the following is a difference between phase 1 and phase 2 of meiosis.

Answers

ok done. thank to me :>

Have you ever visited a railway station.

Answers

Answer:

Yeah, so.....

Explanation:

Samson opened a bank account with 1. 25% simple interest. The total amount of interest samson will earn after 20 years is $812. 50. How much did samson deposit when he opened the account?.

Answers

He deposited, $3250 when he opened the account

Which of the following points lies on the line y = x ?.

Answers

Answer:

Where's the graph?

Explanation:

Which of the following team cups is played by only women?.

Answers

Answer:

softball.

Explanation:

I think this, because only the girls were allowed to join this. But you have to be specific, because i don't know the following team cups actually is. Hope this helps you though.

Identify the type of bonding within each substance.

Answers

Answer:

1. Co ( s ) - metallic bonding

2. CoCl₂ ( s ) - ionic bonding

3. CCl₄ ( l ) - covalent bonding

Explanation:

Metallic bonding -

It is the type of bonding present between the atoms of the metals , via the electrostatic interaction between the metal and the delocalized electrons , is known as metallic bonding .

For example ,

Mostly metals show metallic bonding .

Ionic bonding -

It is the type of bonding present between the ions i.e. , the cation and the anion is known as ionic bonding .

For example ,

Mostly ionic compound , like salts show ionic bonding .

Covalent bonding -

It is the type of bonding which is present between shared pair of electrons , is known as covalent bonding .

For example ,

Most of the carbon compounds are capable to show covalent bonding .

Hence , from the question ,

1. Co ( s ) - metallic bonding

2. CoCl₂ ( s ) - ionic bonding

3. CCl₄ ( l ) - covalent bonding  

Which of the following is not a voluntary activity.

Answers

You didn’t write the following…

Diploid somatic cells of elephants have 56 chromosomes.

Answers

Answer: 29,29,27,27 :)

During the revolutionary war, how did the british convince slaves to run away from their owners and help the british war effort?.

Answers

Offered freedom hope this helps

Answer:

offered freedom

Explanation:

took the test

I learned that modal adverbs are.

Answers

Answer:

Modal adverbs are used to modify specific verbs that consist of a linking verb (verb of being) and sometimes another verb.

Explanation:

Solve for n. 11(n – 1) + 35 = 3n n = –6 n = –3 n = 3 n = 6.

Answers

Answer:

[tex]n = - 3[/tex]

is answer

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