Find the differential and evaluate for the given x and dx: y=sin2xx,x=π,dx=0.25

Answers

Answer 1

By applying the concepts of differential and derivative, the differential for y = (1/x) · sin 2x and evaluated at x = π and dx = 0.25 is equal to 1/2π.

How to determine the differential of a one-variable function

Differentials represent the instantaneous change of a variable. As the given function has only one variable, the differential can be found by using ordinary derivatives. It follows:

dy = y'(x) · dx     (1)

If we know that y = (1/x) · sin 2x, x = π and dx = 0.25, then the differential to be evaluated is:

[tex]y' = -\frac{1}{x^{2}}\cdot \sin 2x + \frac{2}{x}\cdot \cos 2x[/tex]

[tex]y' = \frac{2\cdot x \cdot \cos 2x - \sin 2x}{x^{2}}[/tex]

[tex]dy = \left(\frac{2\cdot x \cdot \cos 2x - \sin 2x}{x^{2}} \right)\cdot dx[/tex]

[tex]dy = \left(\frac{2\pi \cdot \cos 2\pi -\sin 2\pi}{\pi^{2}} \right)\cdot (0.25)[/tex]

[tex]dy = \frac{1}{2\pi}[/tex]

By applying the concepts of differential and derivative, the differential for y = (1/x) · sin 2x and evaluated at x = π and dx = 0.25 is equal to 1/2π.

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Related Questions

Why does the us import oil? because it does not produce any oil at all because it needs higher quality oil than it produces because it has exported too much oil to nearby countries because it is cheaper to import oil than to produce it

Answers

US import oil because it is cheaper to import oil than to produce it

What is importation?

Importation is a way of bringing in goods and services from neighbouring country into your country.

Countries import because it helps them to supply high cost and scarce resources to its market with products from other countries at a very cheap rate.

Hence we can conclude that US import oil because it is cheaper to import oil than to produce it.

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Answer:

because it is cheaper to import oil than to produce it

Explanation:

d on edge2023

Technician A says that after all repairs are made to the A/C system, the system needs to be evacuated to remove moisture. Technician B says that moisture in the system will dry out if the system is left open for several hours and compressed air is blown through the lines. Who is correct

Answers

Techinician b is correct

Technician B says that moisture in the system will dry out if the system is left open for several hours and compressed air is blown through the lines is  is correct. Hence, option B is correct.

What is compressed air is used for?

Power tools like air hammers, drills, wrenches, and others employ compressed air as a significant channel for the transfer of energy in industrial operations.

Even though many individuals are aware that using compressed air to remove debris or clean garments might be dangerous, it is nonetheless done due of ingrained behaviours and the fact that compressed air is readily available in many workplaces.

However, using compressed air to clean equipment, clothing, surfaces, or other items might be hazardous. The air is compressed when atmospheric air is taken and subsequently physically compressed into a smaller volume.

Thus, option B is correct.

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12. Technician A says that some seam sealers may be applied over bare steel.
Technician B says that some undercoating may be applied over bare steel.
Who is right?
1
A only
OB only
Both A and B
Neither A nor B

Answers

Answer:

seam sealers

Explanation:

Undercoating is not required to be done on bare metalsSteel is also counted among metals.So undercoating is not applicable

Option A

Technician A says when the resistances in a parallel circuit are not equal, then the current divides in accordance with the value of each resistance, but the total current flow is still the sum of the currents flowing in each branch. Technician B says all components in a parallel circuit are connected directly to the same voltage supply. Who is correct?

Answers

Technician A says when resistance in a parallel circuit are not equal, and technician B says all components in a parallel circuit are connected directly to the same voltage supply. Both technicians are correct.

What is a circuit?

Circuit is a connection of joined wire, where current is flow from the wires. The circuits are joined in a parallel or series.

Thus, the technician A says when resistance in a parallel circuit are not equal, and technician B says all components in a parallel circuit are connected directly to the same supply. Both technicians are correct.

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The condensed Q formula may be used for operations in which the friction loss can be determined for:

Answers

The condensed Q formula may be used for operations in which the friction loss can be determined for a: 3, 4, or 5 inch hose.

What is a firehose friction loss?

A firehose friction loss can be defined as a measure of the effect of the resistance of water against the inner side of a firehose, which typically results in a pressure drop at the terminal end.

Generally, some of the factors that affect the resistance or friction in a firehose include:

Length of hose.Age of hose.Water flow (gpm)Water turbulenceGravity

Mathematically, the firehose friction loss can be calculated by using this formula:

FL = C × (Q/100)² × L/100.

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All of the following statements with respect to manual transmission are true EXCEPT: Group of answer choices gears can be applied only when the clutch is depressed. when in gear, releasing the clutch connects the engine to the transmission. releasing the clutch pedal closes the contacts of the clutch safety switch. the transmission provides the best pulling power in the lowest gear.

Answers

All of the following statements with respect to manual transmission are true EXCEPT releasing the clutch pedal closes the contacts of the clutch safety switch.

What is the transmission?

Manual automobiles are useful due to the fact they normally value much less and are extra fuel-efficient. You can also see decreased upkeep prices and coverage prices. They additionally provide you higher management of the car for the reason that driver, now no longer the car, is in fee of converting gears.

With the pedal totally released, there's complete touch between the engine and the driveshaft, through the take hold of the plate, because of this the engine can observe energy immediately to the driveshaft. However, it's miles feasible to have the take hold of plate partly engaged, permitting the take hold of to slip.

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what is vapier calliper​

Answers

Answer:

A calliper is a device used to measure the dimensions of an object.

Many types of calipers permit reading out a measurement on a ruled scale, a dial, or a digital display. Some calipers can be as simple as a compass with inward or outward-facing points, but no scale.

I'm not sure what a "Vapier" Calliper is, but I assume it's about the same thing.

16 . You are turning onto a two-lane road divided by a broken yellow line. You know immediately that:

Answers

When a person is turning onto a two-lane road divided by a broken yellow line, you know immediately that you are on a two-way road.

What is the road about?

Note that a Yellow centerlines can be seen in roads and it is one that is often used to separate traffic moving in different directions.

Note also that Broken lines can be crossed to allow slower-moving traffic and as such, When a person is turning onto a two-lane road divided by a broken yellow line, you know immediately that you are on a two-way road.

See full question below

You are turning onto a two-lane road divided by a broken yellow line. You know immediately that:

Answers

You are on a two-way road.

You are on a one-way road.

The road is under repair.

You must stay to the left of the broken yellow lines.

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Manufacturers specify

Answers

Answer:

ok

Explanation:

Which of the following applies to a module?
A) Monitors specific devices.
B) Is a computer.
C) Uses inputs to determine outputs.
D) All of the above

Answers

Answer:

D all of the above

Explanation:

because I said so

How does automobile exhaust gases contribute to air pollution?

Answers

Answer:

The exhaust is the major source of air pollution. This is composed of completely oxidized constituents such as H2O and CO2, both of which are considered harmless. Emphasis is placed on the partially oxidized components -- nitrogen oxide, carbon monoxide, and hydrocarbons -- as being the major pollutants.

Explanation:

Most of the energy used by the built environment comes from what source?

Answers

Answer: Source: Fossil fuels

Explanation:

16. Timothy is connecting an ungrounded
receptacle. You can assume that the job
Timothy is working on is in
A. an older building.
B. new construction.
C. a laundry room.
D. a kitchen.

Answers

We can assume that the job Timothy is working on is in the older building. Thus, the correct option is A.

What is an ungrounded receptacle?

An ungrounded receptacle may be defined as the ground wire required to deliver the same level of protection from house fires and electrical shocks suggested by grounded doorways.

The ungrounded receptacles are only furnished in the building that is already built up to a certain level with appropriate dimensions. It connects all the electrical appliances of the home through a cage of metallic or copper wire.

Therefore, the correct option is A.

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A cantilever beam of span 6 m is subjected to transverse shear force of 5 kN at free end. Beam is having rectangular cross-section of dimension 40 mm x 50 mm. Determine the magnitude of shear stress (kPa) on an element a lying at a distance of 20 mm from neutral axis. (6 pts)

Answers

The magnitude of shear stress (kPa) on an element a lying at a distance of 20 mm from neutral axis. (6 pts) are given, p = 2kn e = 210gpa distance from constant cease = 20mm = 0.2m.

What is the cantilever formula?

The cantilever beam equations (deflection) w = load. l = member length. e = young's modulus. i = the beam's moment of inertia.

theta= 2000 2*210*10^ 9 * (0.006)^ four 12 [(0.1)^ 2 -(0.08)^ 2 ] =0.1587 radø at q i.e. x = 100 - 20 = 80mm = 0.08m from loose cease.theta = p/(2ei) * (l ^ 2 - x ^ 2) phase of facet a. i = (a ^ four)/12 for square.

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Who is the first engineer of world ? and why?​

Answers

Answer:

Imhotep

Explanation:

The first engineer known by name and achievement is Imhotep because he had builded the step pyramid of Egypt.

discuss the difference between a dual split and a diagonal split master cylinder.

Answers

Answer:

The difference between the dual split Master cylinder and diagonal split Master cylinder is dual split it makes power brakes less prone to failure while diagonal split is when the left rear and right front brakes are on one hydraulic line while the right front and left rear brakes are on another.

The distinction between a diagonal split and a dual split master cylinder Power brakes are less likely to fail when the master cylinder is dual split, while diagonal splitting occurs when the left rear and right front brakes are connected to one hydraulic line while the right front and left rear brakes are connected to another.

What is meant by master cylinder?

The hydraulic pump in a car's braking system, which includes a cylinder and one or more pistons and pushes hydraulic fluid under pressure to the brakes at each wheel, is activated by pressing the brake pedal.

In order to convert the pressure on the brake pedal to hydraulic pressure, the master cylinder, also known as the master brake cylinder, feeds brake fluid into the brake circuit and regulates this in accordance with the mechanical force.

Thus, The distinction between a diagonal split and a dual split master cylinder Power brakes are less likely to fail.

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A pump has a suction pressure of 50 feet of head and discharge pressure of 250 feet of head based on pumping pure water. If the pump were now pumping salt water which has a density of 1.2. Approximately what would the discharge gauge read

Answers

Answer:

the discharge gauge would read 300 feet

Explanation:

if I'm wrong I'll try again unless someone else answers

When performing an oil change start the engine and observe the blanket within a few seconds once the engine is running

Answers

I do not get the question Branniest please that’s the only way AutoCorrect will let me spell it

technician a says when diagnosing brake system troubles, the symptoms you should be use is improper braking action. technician b says when diagnosing brake system troubles, the symptoms you should be use is improper taillight operation. who is right? group of answer choices (a) a only. (b) b only. (c) both a and b. (d) neither a nor b.

Answers

Based on the information provided, we can logically deduce that technician A was right. Therefore, the correct answer is: a. A only.

How to diagnose a brake system?

In order for a technician to diagnose a brake system, the following symptoms should be adequately and appropriately checked and used by the technician:

NoisesSmellsAbnormal brake pedal movements.Improper braking action.

This ultimately implies that, a symptom you should use when diagnosing brake system troubles is improper braking action.

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A good architecture description language must be capable of providing adequate abstractions in modeling large systems

Answers

A good architecture description language must be capable of providing adequate abstractions in modeling large systems solves probems.

What is the architecture description language?

In different words, ADL is a language allowing formalization, description, specification, modeling and reasoning on software program architectures. Each of those functions need to be fulfilled via way of means of a language this is proclaimed to be ADL.

Architecture description is a conceptualization of the structure. Its usefulness is in conceiving and expressing the purposeful and nonfunctional fine traits in conjunction with the proposed form/shape of the software program system.

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The home inspector should measure the _____ depth of insulation observed at the unfinished attic floor.

Answers

The home inspector should measure the approximate average  depth of insulation observed at the unfinished attic floor.

What is insulation?

This is known to be a kind of  material that is often used to bring to a stop the flow or linking of electricity, heat, or sound from a given conductor to another.

Note that the home inspector should measure the approximate average  depth of insulation observed at the unfinished attic floor as that is the bet thing to do.

See options below

exact

approximate average

measured exact

approximate weighted

measured average

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How do pressure cookers work?

Answers

the sealed part traps the steam generated as the contents inside are heated

What does it mean when your car says engine power reduced?.

Answers

Answer:

it means that the power of your car has been intentionally limited

Explanation:

I'm just a smart guy

This most likely means that your cars performance has been intentionally limited. This is triggered whenever your cars primary computer detects a system failure.
It could be something has minor as an oil change, or in rare cases your engine is seized, or even an electrical fire

While preparing to drive a HMMWV forward under normal conditions, in what position should you place the transmission and transfer case shift levers

Answers

Under normal conditions, you should place the transmission in overdrive (D) and transfer case in high range (H).

What is HMMWV?

HMMWV is an acronym for high-mobility multipurpose wheeled vehicle and it can be defined as a tactical wheeled vehicle that was designed and developed in 1989 for the US Armed Forces.

Under normal conditions, you should place the transmission in overdrive (D) and transfer case in high range (H) when preparing to drive a high-mobility multipurpose wheeled vehicle (HMMWV) forward.

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Which of the following is NOT one of the things to immediately and
quickly do at first sign of an airway or breathing circuit fire?

Answers

The factor that should not be down immediately or quickly  at first sign of an airway or breathing circuit fire is still going on with the procedure.

What is an airway fire about?

An airway fire is known to be a kind of surgical fire that takes place or occurs on  a patient's airway.

This is one that can or cannot include a fire in the area of an attached breathing circuit.

Since option is not given, answer will be subjective. When there is fire in the airway or breathing circuit, one should quickly:

Quickly Remove the tube of the tracheal.Halt the flow of the gases on the airway.Also Remove any kind of flammable and burning materials from the airway.Lastly, put a saline solution or water into the person's airway.

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When is creep important to metals

Answers

Answer:

Creep is a type of metal deformation that occurs at stresses below the yield strength of a metal, generally at elevated temperatures. One of the most important attributes of any metal is its yield strength because it defines the stress at which metal begins to plastically deform.

A mixed economy combines the traits of which two economic systems?
A. Marxist and traditional
B. Market and command
C. Traditional and market
D. Command and traditional

Answers

A mixed economy combines the traits of these two (2) economic systems: B. market and command.

What is a mixed economy?

A mixed economy can be defined as a type of economic system in which the government of a particular country is minimally involved in the allocation and production of goods and services, while effectively protecting the interest of the consumers and regulating the market by establishing laws.

This ultimately implies that, a mixed economy combines the traits of these two (2) economic systems market and command.

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The design product will be a description of the most efficient thermodynamic cycle required to supply 750 MW of electric power. Maximum efficiency is achieved by determining the best pressure at which to operate flash evaporator (2, 3, 7, 8) within the limits imposed by the specified parameters.

You should provide:

1. temperature, pressure, and entropy at the state points;

2. overall flow rate of water through the nuclear reactor;

3. heat transfer in the nuclear reactor;

4. % of the overall flow rate passing through the steam turbine;

5. power required for condensate pump 1;

6. power required for condensate pump 2;

7. cooling water flow rate.

Situation: Attached
Diagram: Attached

Water is used as the working fluid of a pressurized-water nuclear power plant (shown in the figure) designed to produce 750 MW of electric power. Saturated liquid exiting the reactor enters a flash evaporator at a selected pressure. The pressure reduction is achieved by a constant enthalpy throttle valve. Thus, a fraction of the water flashes into saturated steam (state 2) and the remainder flows as liquid into the mixing chamber (state 3, p3=p2). The steam enters the turbine,



PLEASE FIND THE SOLUTION WITH CALCULATIONS for 7 parts in total.

Answers

Answer:

I'm 50s I be sliding on them crabs and we be posting 5 inta a Snapple

explain why it is not advisable to wear a ring at work shop

Answers

Answer:

Metal conducts heat so it could severely burn your finger.

Rings can create multiple hazards while working with chemicals.

Rings/Jewlery can be a "hiding place" for bacteria.

Amongst many other reasons as to why it's not advisable to wear a ring(s) at a workshop/workplace.

Identify three architectural structures, natural or man made, that have withstood the test of time. describe the geometric shapes that they represent or contain.

Answers

The three architectural structures, natural or man made, that have withstood the test of time. describe the geometric shapes that they represent or contain are statues.

How are geometric shapes utilized in architecture?

Architects use geometry to take a look at and divide areas in addition to draft specified construction plans. Builders and engineers depend upon geometric concepts to create systems safely. Designers practice geometry (in conjunction with color and scale) to make the aesthetically appealing areas inside. Applying geometry in the layout is unavoidable.

Man-Made systems can consist of seawalls, breakwaters, harbor walls, pontoons and piers, to say a few. These may be crafted from a whole lot of substances now no longer constrained to wood, concrete, or metal, in addition to herbal rock that has been installed vicinity as a sea defence.

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x = 3 - 2yy = -1/2x+3/2 Read the excerpt below:"I like pond skating best by moonlight. The hollow among the hills will always have a bit of mistabout it, let the sky be clear as it may. The moonlight, which seems so lucid and brillant whenyou look up, is all peari and smoke round the pond and the hills. The shore that was like Ironunder your heel as you came down to the Ice is vague, when you look back at it from the centerof the pond, as the memory of a dream. The motion is like flying in a dream; you float free andthe world floats under you; your velocity is without effort and without accomplishment, for,speed as you may, you leave nothing behind and approach nothing"From what type of essay was this selection taken? a) PoetryO b) Short Story c) PlayO d) None of the answer choices are correct A spring with a spring constant of 350 N/m pulls a door closed. How much work is done as the spring pulls the door at a constant velocity from an 85.0-cam stretch to a 5.0-cm stretch? he price of a used motorbike is 4975. Danny, a buys the motorbike for 3781. What is the discount percent given? A "golden rectangle is a rectangle where the ratio of the longer side to the shorter side is the "golden ratio. These rectangles are said to be visually pleasing. An example of a "golden rectangle has a length equal to x units and a width equal to x 1 units. Its area is 1 square unit. What is the length of this golden rectangle? Select the correct answer.Which statement best identifies the authors purpose in the excerpt?A. to remind Congress about its historyB. to report on the current conditionC. to explain the goals of the administrationD. to motivate Congress to work together This season, the probability that the Yankees will win a game is 0.52 and theprobability that the Yankees will score 5 or more runs in a game is 0.53. Theprobability that the Yankees lose and score fewer than 5 runs is 0.39. What is theprobability that the Yankees will lose when they score 5 or more runs? The new mexico constitution The equation of a line is given below. =4x3y3 Find the slope and the y-intercept. Then use them to graph the line. i dont have any question made a mistake and hit the wrong button Please help me with this im very confused "Women have a duty to take direct action in providing freedom for slaves." Who were these woman? which statement concerning the evolution of species A,B,C,D and E is supported by the diagram below1) Species B and C can be found in today'senvironments.2)Species A and D evolved from E.3) Species A and C can still interbreed.4)Species A, B, and E all evolved from a commonancestor and all are successful today. Nicola sacco and bartolomeo vanzetti had many things in common, including that both men. Read the excerpt from The Lottery.Bobby Martin had already stuffed his pockets full of stones, and the other boys soon followed his example, selecting the smoothest and roundest stones; Bobby and Harry Jones and Dickie Delacroixthe villagers pronounced this name "Dellacroy"eventually made a great pile of stones in one corner of the square and guarded it against the raids of the other boys.What type of descriptive language is used in the excerpt?figurative languagesensory detailsstrong verbsmetaphor Imagine that you are going on a three-day trek during your vacation. What will you do on different days? Write short paragraphs about your plans. what is the domain of the function shown in the table. X {3, 5, 7, 9} Y {-4, -3, 3, 4} right 9 in a equation No one can explain why Taylor and Blakeare friends. They seem so different! Taylorlikes things planned, while Blake livesspontaneously. When Taylor offers logic,Blake offers an emotional perspective.While they question each other often, theyalways listen and respond to each other'sideas. Why might these opposites havecome together? What are two possible reasons for Blake and Taylor friendship ? What does the archetype object of the bridge most likely represent in the poem