Find the differential and evaluate for the given x and dx: y=sin2xx,x=π,dx=0.25
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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A system consists of a disk rotating on a frictionless axle
The system includes a disk rotating on a frictionless axle and a bit of clay transferring towards it, as proven withinside the determine above.
What is the angular momentum?The angular momentum of the device earlier than and after the clay sticks can be the same.
Conservation of angular momentum the precept of conservation of angular momentum states that the whole angular momentum is usually conserved.
Li = Lf where; li is the preliminary second of inertia If is the very last second of inertia wi is the preliminary angular velocity wf is the very last angular velocityLi is the preliminary angular momentumLf is the very last angular momentumThus, the angular momentum of the device earlier than and after the clay sticks can be the same.
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Zone, n = (sum of digits of your student id)% 8 for example, if your student id is 17301283, zone = (1+7+3+0+1+2+8+3) % 8 = 25 % 8 = 1 derive midpoint line drawing algorithm for a line in zone n. if you find zone 0, i.e., then drop the last digit from sum and take % 8 again. if your student id is 16240524, zone = (1+6+2+4+0+5+2+4)%8 = 24%8 = 0 updated zone by removing last digit 4 = (1+6+2+4+0+5+2)%8 =20%8 = 4 derive midpoint circle drawing algorithm for the arc of the circle in zone n. if you find zone 1, i.e., then drop the last digit from sum and take % 8 again. if your student id is 17301283, zone = (1+7+3+0+1+2+8+3)%8 = 25%8= 1 updated zone by removing last digit 3 = (1+7+3+0+1+2+8)%8 = 22%8= 6
A heating element for a cooking appliance is stretched too far during installation. What action can be performed? A. Dispose of the element and purchase a new one. B. Chill the element in a freezer to shrink it. C. Cut the element to shorten it. D. Recoil the element over a rod.
Because the heating element for a cooking appliance is stretched too far during installation, Dispose of the element and purchase a new one.
What is meant by heating element?The Definition of heating element is known to be the aspect of an electric heating appliance where the electrical energy is said to be changed to heat.
Note that Because the heating element for a cooking appliance is stretched too far during installation, Dispose of the element and purchase a new one.
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An American architect whose principles of building included consonance with the landscape was ____________________________.
An American architect whose principles of building included consonance with the landscape was:
Frank Lloyd WrightWho was Frank Lloyd Wright?Frank Lloyd Wright was an American architect who lived between 1867 to 1959. One of the notable features of his prairie houses was their ability to rhyme with the Chicago landscape.
The Unity Park in Illinois and the Hillside Home School in Wisconsin were some structures that he erected.
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what is engineering design process
Answer:
The engineering design process is a common series of steps that engineers use in creating functional products and processes
Design the software architecture for a student online registration system using the MVC architecture. Draw the architecture by specifying the role of controller, view and model.
MVC architecture is defined as the architectural design that is used by software engineers for programming languages.
What are the various models of MVC architecture?The various types of MVC architecture include the following:
The controller: This model is used to control logic and acts as the coordinator between the View and the Model.The view: It displays the information from the model to the user.The model: It is used to implement the domain logic.Learn more about software here:
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Design a program that calculates the area and circumstance of rectangle?
4.6. What is the maximum peak output voltage and current if the supply voltages are changed to +15 V and -15 V.
The maximum peak output voltage and current if the supply voltages are changed to +15 V and --1V will be 15V and 0.1A.
How to calculate the current?From the information given, the supply voltages are +15V and -15V. The maximum peak output voltage will be 15V.
The maximum peak current will be:
= 15/150
= 0.1A
In conclusion, the maximum peak output voltage and current will be 15V and 0.1A.
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Consider a cup on a dinning table half filled with water.
State 5 similarities and differences between the fluids that are contained in the cup.
Answer:
color, shape container, type, amount, temperature
Explanation:
a ________________ is the flat, low-lying area adjacent to a stream channel that receives overbank flow
Answer:
flood plain
Explanation:
it should be called a flood plain which makes sense because it’s not a deposition.
list five safety materials
Answer:
a pair of safety goggles, that fit.
Gloves that also fit
A type of clothing you are willing to get dirty depending on what you are doing for the lab.
Don’t where a watch if you don’t want it getting ruined.
Make sure you take notes.
Explanation:
if you mean this for science, I think I have some I can list. These are also ones I know because I had to do science labs this year and I needed to use these.
Tech A says that water soaked brake shoes can be a cause of brake fade. Tech B says that disc brakes dissipate heat faster than drum brakes. Who is correct
Explanation:
perturbateur ( le temps, le lieu, les personnages[description], la victime, l'enqueteur )
les peripeties
le denouement
A 100-horsepower, three-phase squirrel-cage induction motor is connected to a 240-volt line. A dual-element time-delay fuse is to be used as the short-circuit protective device. What is the correct fuse rating
Based on the National Electrical Code (NEC), a 450-Ampere fuse should be used to protect this polyphase (three-phase) squirrel cage inductor motor.
Given the following data:
Power rating = 100-horsepower.Voltage = 240 volt.How to determine the correct fuse rating?According to Table 430.52 of the National Electrical Code (NEC), a dual-element time delay fuse should be calculated at 175% (1.75) of the full-load current rating for an alternating current (AC) polyphase (three-phase) squirrel cage inductor motor.
In this scenario, the squirrel cage inductor motor didn't list a NEMA design code on its nameplate. Thus, we'll assume that the inductor motor is design B and its fuse rating is given by:
Fuse rating = 248 × 1.75 × 434
In conclusion, the nearest standard fuse size which is above the computed value listed in Section 240.6 of the National Electrical Code (NEC) is 450 amperes.
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Gasoline and diesel fuel are made from what fossil fuel?
Answer:
they are made from petroleum
If an internally piloted DCV does not shift, you should use a gauge to _____. A.check the pilot line pressure b. check the inlet pressure to the DCV c. check the outlet pressure from the DCV d. check the vacuum on the pilot line
If an internally piloted DCV does not shift, you should use a gauge to: B. check the inlet pressure to the DCV.
What is DCV?DCV is an acronym for Directional Control Valve and it can be defined as a fundamental part of pneumatic and hydraulic systems, which is designed and developed to enable fluid from one or more sources flow into different paths.
In pneumatic and hydraulic systems, you should use a gauge to check the inlet pressure to the DCV when an internally piloted DCV does not shift.
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Technician A says that burning of fossil fuels has increased the greenhouse gas CO 2 in the atmosphere. Technician B says that increased lumber operations have removed trees, increasing the levels of CO 2 in the atmosphere. Which technician is correct
Answer:
Technician A
Explanation:
Why do I think technician A is correct it's because burning fossil fuel and then comes the greenhouse effect and the airborne particles get suspended in the air for a month or less but greenhouse gasses that cause warming for a very long time and this goes on and on weakening the ozone layer. I could go on and on but I don't feel like writing a book rn
Which important feature of a block-based coding language like Scratch is not
a feature in a text-based coding language like C++?
Answer:Block-based coding requires a different type
Explanation:
TV
When writing a programme, text-based programming languages give programmers more in-depth control over lower-level functionality.
What is block-based applications?In block-based applications, we are constrained to use the blocks that are provided to us and frequently have a limited range of options for doing so. We have more freedom to customise lower-level functionality in text-based languages since we are not constrained by a predetermined number of available blocks.
Python is usually used for making websites and applications, automating repetitive tasks, and analysing and display of data. Python has been utilised by many non-programmers, including accountants and scientists, for a different kind of routine activities including managing finances since it is very simple to learn.
Therefore, When writing a programme, text-based programming languages give programmers more in-depth control over lower-level functionality.
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The code requires switches to be
installed at
entrance to a room.
A. every
B. every other
C.Only one
The code requires switches to be installed at every entrance to a room.
What is every?In English language, every can be defined as a determiner and it is typically used before a singular noun while referring to each of the members of a set without exception.
In this context, every is the most appropriate word to use in filling the blank because entrance is a singular noun while the room is a set.
Therefore, the code requires switches to be installed at every entrance to a room.
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What type of diagrams are used to present the conditions that are available to control outputs based on inputs?
A. Panel
B. Ladder
C. Schematic
D. Block
The type of diagrams used to present the conditions that are available to control outputs based on inputs are called; B: Ladder
How to Utilize Ladder Diagrams?Ladder diagrams are defined as specialized schematics usually used to document industrial control logic systems.
Now, these are called ladder diagrams due to the fact that they resemble a ladder, with two vertical rails that supply power and as many “rungs” as there are control circuits to represent.
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discuss the benefits of modern communication technology
Answer:
talk to people
Explanation:
you can communicate with people around the world and in different area
Select the parameters that are included in a baseline performance check. you may select more than one. select one or more: a. compressor body temperature b. condenser fan rpm c. discharge pressure d. compressor amp draw e. suction pressure f. discharge line temperature previous page
Answer:
A F E C D B
Explanation:
Performance testing can be done with quantitative tests that are run in a lab or, in some situations, in a real-world setting. Performance requirements must be determined and tested.
What parameters included in a baseline performance check?Commonly used criteria include things like processing speed, data transfer rates, network bandwidth and throughput, workload efficiency, and dependability.
Baseline testing is the process of confirming the accuracy of the documents and requirements upon which test cases are based.
A baseline is a benchmark that serves as the foundation for any new production, generally speaking. This is the benchmarking of the application's performance in software testing.
Performance testing requires the design, normal and peak loads, system resources, dependencies, workload characteristics, and time, all of which should be considered in any method.
Therefore, A baseline is a set timeline that serves as the benchmark against which the project's performance is evaluated.
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Write a C++ program to get the following output. 1 12 123 1234 12345
#include"stdafx.h"
#include<iostream>
usingnamespace std;
int main()
{
for(int i=1; i<=5; i++)
{
for(int j=1; j<=i; j++)
{
cout<<j ;
}
cout<<endl;
}
system("pause");
return 0;
}
Most regulatory signs are?
Answer:
Most regulatory signs are square or rectangular except for STOP signs, which are octagonal, and YIELD signs, which are equilateral triangles with one point straight down.
Explanation:
Answer:
Most regulatory signs are square or rectangular except for STOP signs, which are octagonal, and YIELD signs, which are equilateral triangles with one point straight down.
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A voltage drop test is being performed on the output wire of the alternator to the battery positive post. Technician A says that the voltage drop should be more than 0.5 volts. Technician B says that during the voltage drop test, the engine should be at the specified rpm and the battery loaded down so the alternator puts out maximum current flow. Who is correct
Assuming a voltage drop test is being performed on the output wire of the alternator to the battery positive post, the technician who would be correct is: B. Technician B.
What is a voltage drop?A voltage drop can be defined as a measure of the decrease in electrical potential in an electrical circuit, especially along the path of a current that is flowing through it.
How to calculate the amount of voltage?In order to determine the amount of voltage that is running through this circuit, we would apply Ohm's law:
V = IR
Where:
I represents the current.R represents the resistance.V represents the voltage.Assuming a voltage drop test is being performed on the output wire of the alternator to the battery positive post, the technician who would be correct is Technician B because the engine should be at the specified rpm.
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Complete Question:
A voltage drop test is being performed on the output wire of the alternator, between the alternator output wire to the battery positive post. Technician A says that the voltage drop should be approximately 12.0 volts. Technician B says that during the voltage drop test, the engine should be at the specified rpm and the battery loaded down so the alternator puts out maximum current flow. Who is correct?
A. Technician A
B. Technician B
C. Both Technician A and B
D. Neither Technician A nor B
explain why it is not advisable to wear Ornament like ring at work shop
The reason that it is not advisable to wear Ornament like ring at work shop is that rings can be easily get caught and fingers or the hands of the person can be injured, cut, scared etc.
Why should you not wear a ring at work?Jewelry is known to bring about a lot of safety hazards for people working around chemicals and others.
Note that the reason that it is not advisable to wear Ornament like ring at work shop is that rings can be easily get caught and fingers or the hands of the person can be injured, cut, scared etc.
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which of the following elements does not affect the strength and usefulness of concrete
If the piston in problem 3 had an input of 50 psi, what would the total amount of work performed by one piston be?
Answer:
Applied pressure on piston (P) = 50 psi. We know that work done is given by W = Force x displacement. S Force = Pressure x Areas > W = ( PXA ) X L W = PX ( AL ) W = PX AV = 50x 43.7088. W= 2185.
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Two sides and the included angle of triangle were measured as under
A = 757.64 +0.045 m
B = 946.70+ 0.055 m
C = 54°18+25"
Based on the calculations, the area of this triangle is equal to 290,136.87 m².
Given the following data:
Side A = 757.64 +0.045 m.Side B = 946.70+ 0.055 m.Angle, C = 54°18'25"How to calculate the area of this triangle?Mathematically, the area of a triangle can be calculated by using this formula:
Area = 1/2 × b × h
Where:
b is the base area.h is the height.In this scenario, the area of this triangle is given by:
Area = 1/2 × a × b × sinC
Substituting the given parameters into the formula, we have:
Area = 1/2 × 757.64 × 946.70 × sin(54°18'25")
Area = 580,273.74/2
Area = 290,136.87 m².
Next, we would determine the probable error of the area by using this formula:
[tex]PE_A = \pm k \sqrt{PE} \\\\PE_A = \pm \frac{1}{2} \times sinC \sqrt{(aPE_b)^2 + (bPE_a)^2 } \\\\PE_A = \pm \frac{1}{2} \times sin(54^{\circ}18'25") \times \sqrt{(757.64 \times 0.045)^2 + (946.70 \times 0.055)^2 } \\\\PE_A = \pm 0.4045 \times \sqrt{1,162.39 +2,711.12}\\\\PE_A = \pm 0.4045 \times \sqrt{3,873.51}\\\\PE_A = \pm 0.4045 \times 62.2375\\\\PE_A = \pm25.1751 \;m^2[/tex]
Therefore, probable error of the area is equal to ±25.1751 m².
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Complete Question:
Two sides and the included angle of a triangle were measured and the probable error of each value were computed as follows:
A = 757.64 +0.045 m
B = 946.70+ 0.055 m
C = 54°18'25"
Determine the area of the triangle and the probable error of the area.
What must the controlling contractor include in the written notification he or she provides?
A. Any repair to the crane
B. Any repair to the anchor bolts
C. Any changes to the company's human relations (HR) policies
D. Any changes to the training program
The controlling contractor includes in the written notification he or she provides A. Any repair to the crane.
What is the training program?An excessive contractor, big contractor, manufacturing manager or each different crook entity, which has the overall duty for the improvement of the project - its planning, splendid and completion."
The delivery director is described with the useful resource of the use of ASME due to the fact the birthday celebration that straight away oversees the artwork being finished with the useful resource of the use of the crane and the associated rigging crew. According to ASME B30. 5, a lift director ought to be onsite for all lifting operations.
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