Answers
The equations of function f(t) from the function f(s) are
\(f\left(t\right)=\frac{2}{t^2}-\frac{2}{t^2}e^{-t}-\frac{2}{t^2}e^{-4t}+\frac{2}{t^2}e^{-6t}\ +\frac{2}{t^2}e^{-7t}-\frac{2}{t^2}e^{-9t}\)
\(f\left(t\right)=\frac{1}{t^2}-\frac{1}{t^2}e^{-t}+\frac{2}{t^2}e^{-3t}-\frac{2}{t^2}e^{-4t}\ -\frac{1}{t^2}e^{-4t}-\frac{1}{t^2}e^{-5t}\)
\(f\left(t\right)=\frac{2}{t}-\frac{2}{t}e^{-t}-\frac{2}{t}e^{-3t}+\frac{4}{t}e^{-5t}\ -\frac{2}{t}e^{-7t}\)
Calculating the function f(t) from the function f(s)The function definitions are given as: f(s)
The relationship between s and t are not given
So, we assume that
s = t
This means that we substitute s = t in the functions f(s) and then evaluate the expression for f(t) in terms of t.
Using the above, we can not calculate the functions and then plot the graphs
The graphs are added as an attachment
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Related Questions
The process of examining public records to determine if there are any claims on a piece of real property before its ownership is transferred is called a: a lien examination b title search
c mortgage approval d determination of encumbrances
Answers
The process of examining public records to determine if there are any claims on a piece of real property before its ownership is transferred is called a title search.
This process involves searching public records for any liens, mortgages, or other encumbrances on the property that may affect its ownership. A title search is an important step in the real estate transaction process because it helps to ensure that the buyer receives clear and marketable title to the property. Clear title means that there are no outstanding claims or liens against the property, and the buyer can take ownership of the property without any legal disputes or complications. A title search is typically conducted by a title company or real estate attorney, and it is a necessary step in most real estate transactions.
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In general, ceramic reinforcements have a coefficient of thermal expansion smaller than that of most metallic matrices. True/False
Answers
True. In general, ceramic reinforcements have a coefficient of thermal expansion smaller than that of most metallic matrices.
Ceramic materials tend to have lower coefficients of thermal expansion compared to metals, which means they expand and contract less with temperature changes. This difference in thermal expansion can lead to challenges in composite materials where a ceramic reinforcement is combined with a metallic matrix, as the mismatch in thermal expansion can create stress and potentially lead to failure at the interface between the two materials. However, this difference in coefficient of thermal expansion can also be beneficial in certain applications where the composite material needs to have improved thermal stability and resistance to thermal cycling.
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One mole of an monatomic ideal gas at 25 and 1 atm undergoes the following reversibly conducted cycle
Answers
19.15JK−1mol−1 is the change in entropy due to the expansion of 1 mole of an ideal gas at 25oC is subjected to expand reversibly ten times of its initial volume.
Entropy is a notion in science and a quantifiable physical characteristic that is frequently connected to a condition of disorder, unpredictability, or uncertainty. The phrase and its underlying idea are employed in a wide range of disciplines, from classical thermodynamics—where they were initially identified—through statistical physics, which uses them to describe nature at the molecular level, to the foundations of information theory. It has numerous applications in physics and chemistry, biological systems and how they relate to life, cosmology, economics, sociology, weather science, the study of climate change, and information systems, particularly the transfer of information via telecommunication. Scottish engineer and scientist William Rankine first used the terms thermodynamic function and heat potential to describe the thermodynamic notion in 1850.
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A series RL circuit with 150 resistance and 0. 05 H inductance is energized by 200 V dc supply. Determine the rate of change of the current when t=0. 02s. 6. A current wave is represented by the equation i = 10e^(- 200x) amperes. Find the average and rms value of the wave if its period is 0. 05 seconds
Answers
A series RL circuit with 150 resistance and 0.05 H inductance is energized by a 200 V dc supply.This means that the current is increasing at a rate of 4000 amperes per second at \( t = 0.02 \) s.
In a series RL circuit, the rate of change of current is given by the formula
\( \frac{{di}}{{dt}} = \frac{{V}}{{L}} \),
where
\( \frac{{di}}{{dt}} \)
is the rate of change of current,
\( V \)
s the voltage applied, and
\( L \) is the inductance of the circuit.
In this question, we are given the resistance \( R \) as 150 ohms,
the inductance \( L \) as 0.05 H,
and the voltage \( V \) as 200 V.
We can substitute these values into the formula to find the rate of change of the current at \( t = 0.02 \) s.
By simplifying the expression, we find that the rate of change of the current is 4000 A/s. This means that the current is increasing at a rate of 4000 amperes per second at \( t = 0.02 \) s.
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Discuss about the tool wear of cutting tool.
Answers
In the cutting tool industry, tool wear is an important concept. Wear of cutting tools refers to the loss of material from the cutting tool, mainly at the active cutting edges, as a result of mechanical action during machining operations.
The mechanical action includes cutting, rubbing, and sliding, as well as, in certain situations, adhesive and chemical wear. Wear on a cutting tool affects its sharpness, tool life, cutting quality, and machining efficiency.
Tool wear has a considerable effect on the cutting tool's productivity and quality. As a result, the study of tool wear and its causes is an essential research area in the machining industry.
The following are the types of tool wear that can occur during the machining process:
1. Adhesive Wear: It occurs when metal-to-metal contact causes metallic adhesion, resulting in the removal of the cutting tool's surface material. The adhesion is caused by the temperature rise at the cutting zone, as well as the cutting speed, feed rate, and depth of cut.
2. Abrasive Wear: It is caused by the presence of hard particles in the workpiece material or on the cutting tool's surface. As the tool passes over these hard particles, they cause the tool material to wear away. It can be seen as scratches or grooves on the tool's surface.
3. Chipping: It occurs when small pieces of tool material break off due to the extreme stress on the tool's cutting edge.
4. Thermal Wear: Thermal wear occurs when the cutting tool's temperature exceeds its maximum allowable limit. When a tool is heated beyond its limit, it loses its hardness and becomes too soft to cut material correctly.
5. Fracture Wear: It is caused by high stress on the cutting tool that results in its fracture. It can occur when the cutting tool's strength is exceeded or when a blunt tool is used to cut hard materials.
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1. Why is the perfect elastic-plastic model adopted in steel design?
Answers
Answer:
Explained below
Explanation:
Perfect Elastic Plastic in steel design is simply a method whereby the structural members are selected using the criteria of the overall ultimate capacity of the system. However, when safety is considered, the applied loads are usually increased by factors of safety as prescribed in the relevant steel design codes. Therefore, this model of design is just based on the yield capacity of the steel.
briefly explain the csi systems for categorizing construction processes and materials
Answers
The CSI (Construction Specifications Institute) system is a widely used standard for organizing and categorizing construction processes and materials.
The system is divided into 16 divisions, which cover everything from general requirements and site construction to electrical systems and special construction. Each division is further broken down into more specific sections, such as concrete, masonry, or plumbing. This allows for easy organization and communication between different teams and stakeholders involved in a construction project.
The CSI system helps ensure that all necessary materials and processes are accounted for and that construction projects are completed efficiently and effectively.
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How to calculate absolute value in Python?
Answers
Proper, smooth shifting is important because if you shift before your vehicle is ready
Answers
Proper, smooth shifting is important because shifting before your vehicle is ready will cause it to je-rk forward and your drive wheels may lock.
How to properly shift your gears?A proper, smooth shifting of the gears of an automobile vehicle is very important because shifting them before the vehicle is ready would cause the following:
Jer-king forward. Lock of the drive wheels.Loss of control of the vehicle.As a good driver, proper, smooth shifting is important because shifting before your vehicle is ready will cause it to je-rk forward and your drive wheels may lock.
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Engineer drawing:
How can i draw this? Any simple way?
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Briefly explain the importance of market screening.
Answers
briegly explain me plzzz
A space probe in the shadow of the earth contains electronics consuming 45 W of electric power. If the probe may be approximated to be a sphere of 40 cm diameter, whose external surface has an emissivity of 0.89, estimate the surface temperature of this probe.
Answers
calculate a series rc value that will produce a v = 3.97 v output at f = 57 hz when v = 29 v at f = 57 hz are applied at the input. this is a low pass filter with one resistor and one capacitorNotes on entering solution:- Multiply answer by 1000- ex. you get 2.3*10(-3) is entered as 2.3- do not include units in your answer
Answers
The series RC value for the low-pass filter is approximately 77.963
To calculate the RC value for a low-pass filter that produces a 3.97 V output at 57 Hz when a 29 V input is applied at the same frequency, we can use the formula for the transfer function of a first-order low-pass filter:
Vout = Vin / √(1 + (2πfRC)^2)
Given:
Vin = 29 V
Vout = 3.97 V
f = 57 Hz
Rearranging the formula, we get:
Rc = √((Vin / Vout)^2 - 1) / (2πf)
Substituting the given values, we can calculate the RC value:
RC = √((29 / 3.97)^2 - 1) / (2π * 57)
RC ≈ 0.077963
Multiplying by 1000 to convert from seconds to milliseconds, the RC value is approximately 77.963 ms.
Therefore, the series RC value for the low-pass filter is approximately 77.963
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Substituting the given values, we get: RC ≈ 0.1318. Multiplying by 1000 as instructed, we get: RC ≈ 131.8. Therefore, the required series RC value is approximately 131.8 ohms.
To calculate the RC value of the low pass filter, we can use the formula:
Vout = Vin / sqrt(1 + (2 * pi * f * RC)^2)
We can rearrange the formula to solve for RC:
RC = 1 / (2 * pi * f * sqrt((Vin / Vout)^2 - 1))
Substituting the given values, we get:
RC = 1 / (2 * pi * 57 * sqrt((29 / 3.97)^2 - 1))
RC ≈ 0.1318
Multiplying by 1000 as instructed, we get:
RC ≈ 131.8
Therefore, the required series RC value is approximately 131.8 ohms.
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a commercial refrigerator with r-134a as the working fluid is used to keep the refrigerated space at -35 c by rejecting waste heat to cooling water that enters the condenser at 18 c at a rate of 0.25 kg/s and leaves at 26 c. the refrigerant enters the condenser at 1.2 mpa and 50 c and leaves at the same pressure subcooled by 6 c. if the compressor consumes 3.3 kw of power , determine (a) the mass flow rate of the refrigerant, b) the refrigerant load, c) the cop, and d) the minimum power input to the compressor for the same refrigeration load.
Answers
At 1.2mpa pressure and 50c
What is pressure?
By pressing a knife against some fruit, one can see a straightforward illustration of pressure. The surface won't be cut if you press the flat part of the knife against the fruit. The force is dispersed over a wide area (low pressure).
a)Mass flow rate of the refrigerant
Therefore h1= condenser inlet enthalpy =278.28KJ/Kg
saturation temperature at 1.2mpa is 46.29C
Therefore the temperature of the condenser
T2 = 46.29C - 5
T2 = 41.29C
Now,
d)power consumed by compressor W = 3.3KW
Q4 = QL + w = Q4
QL = mR(h1-h2)-W
= 0.0498 x (278.26 - 110.19)-3.3
=5.074KW
Hence refrigerator load is 5.74Kg
(COP)r = 238/53
(Cop) = 4.490
Therefore the above values are the (a) mass flow rate of the refrigerant, b) the refrigerant load, c) the cop, and d) the minimum power input to the compressor for the same refrigeration load.
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Consider the following relation R(A,B,C,D,E) with the following FDs:
BC→D
CD→A
A→C
E→B
Its candidate keys are: {(EA),(EC)}. Tasks: Q1: (5 points) List Prime attributes of R : Q2: (5 points) List Non-prime attributes or R: Q3. (10 points) Classify FD A→C : Q4. (10 points) List the normal form of R:
Answers
The prime attributes of R are A and E, the non-prime attributes are B, C, and D, the FD A→C is a partial dependency, and the normal form of R is BCNF.
Q1: Prime attributes of R:
The prime attributes of R are the attributes that are part of the candidate keys. In this case, the candidate keys are {(EA), (EC)}. Therefore, the prime attributes of R are A and E.
Q2: Non-prime attributes of R:
The non-prime attributes of R are the attributes that are not part of the candidate keys. In this case, the non-prime attributes of R are B, C, and D.
Q3: FD A→C classification:
The FD A→C can be classified as a partial dependency. This is because A determines C, but C is not fully dependent on A alone. There is an additional dependency of CD→A. Therefore, the FD A→C is a partial dependency.
Q4: Normal form of R:
To determine the normal form of R, we need to examine the functional dependencies and the key attributes.
Given the FDs and candidate keys, we can analyze the normal form as follows:
- BC→D: There are no partial dependencies.
- CD→A: There are no partial dependencies.
- A→C: There are no partial dependencies.
- E→B: There are no partial dependencies.
Since all the FDs are fully functional dependencies, and there are no partial dependencies, we can conclude that the relation R is in Boyce-Codd Normal Form (BCNF).
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Omar owns a stall selling handmade cosmetics, and wants to launch an e-commerce site. He has lots of experience selling his products in person at markets, but is now hoping to reach more customers online.
Can you advise Omar on how to make both his online and offline business successful?
Answers
Answer:
He could put up advertisements all over the town and pay a few websites or search engines to have his company and ads be more common. He should also use some designs and make his company's sign very adequate.
froce and motion worksheet
Answers
Answer:
The following description of the problem is provided.
Explanation:
If somehow the system seems to be in movement it'll still relax, and it becomes moving whether it sits. An externality is a cost, that either affects or threatens that can modify the bodily condition.The phenomenon of anything changing their position, altering or completely replacing. Whenever moment anything keeps moving, several components are found.A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0. 5 kilograms. The company wishes to test the hypothesis H0:μ=12 against H1:μ<12 using a random sample of n=4 specimens. Calculate the P-value if the observed statistic is x⎯⎯=11. 25. Suppose that the distribution of the sample mean is approximately normal. Round your final answer to five decimal places (e. G. 98. 76543). Enter your answer in accordance to the question statement
Answers
Answer:
The p-value of the hypothsis 0.00135
Explanation:
The southbound interface provides a uniform means for application developers and network managers to access SDN services and perform network management tasks.
Why this statement is false?
Answers
No, the southbound interface in SDN is not responsible for providing a uniform means for application developers and network managers to access SDN services and perform network management tasks.
Is the southbound interface in SDN responsible for providing a uniform?The statement is false because the southbound interface in Software-Defined Networking (SDN) is not responsible for providing a uniform means for application developers and network managers to access SDN services and perform network management tasks.
The southbound interface is the interface between the SDN controller and the network devices (switches, routers) and is responsible for transmitting control instructions and forwarding policies from the controller to the network devices. It is focused on communication and control between the controller and the network infrastructure.
The northbound interface, on the other hand, is responsible for providing a uniform means for application developers and network managers to access SDN services and perform network management tasks by allowing them to interact with the SDN controller.
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If you use the function with a single parameter of 50 , which integers will be included in the resulting iterable? 1 through 50, inclusive 0 through 49 , inclusive 0 through 50, inclusive 0 through 50 , exclusive
Answers
If the function is called with a single parameter of 50, the resulting iterable will include integers from 0 through 49, inclusive.
In most programming languages, when specifying a range or interval, the starting value is inclusive, while the ending value is exclusive. This means that the range will include all values starting from the initial value and ending one element before the specified end value.
In this case, since the parameter is 50, the function will generate an iterable that includes integers starting from 0 and ending at 49 (inclusive). The number 50 will not be included in the resulting iterable.
It is important to clarify the behavior of the function, especially when dealing with range or interval operations, as the inclusivity or exclusivity of the start and end values can affect the expected output.
By specifying that the range is inclusive for 0 through 49, it ensures that all integers within that range will be included in the resulting iterable, while excluding the value of 50.
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Which type of oil has the widest operating temperature range?
A) Conventional
B) Synthetic Blend
C) Full Synthetic
D) Crude
Answers
Answer:
Crude
Explanation:
tapered roller bearings are used typically in what configuration?
Answers
Tapered roller bearings are typically used in a "paired" configuration.
Tapered roller bearings are commonly used in pairs or sets, with one bearing placed on each side of a shaft. This configuration allows for increased load-carrying capacity and improved performance. By using paired tapered roller bearings, axial and radial loads can be effectively balanced, reducing friction and ensuring smooth operation. The paired configuration also helps to maintain proper alignment and distribute the load evenly across the bearings. This makes tapered roller bearings suitable for various applications, including automotive, industrial machinery, and heavy equipment.
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can anyone help me with this please.i have the current and pf for branch 1 and 2 but cant figure out the total current, pf and angle. thanks
Answers
Answer:
branch 1: i = 25.440∠-32.005°; pf = 0.848 laggingbranch 2: i = 21.466∠63.435°; pf = 0.447 leadingtotal: i = 31.693∠10.392° leading; pf = 0.984 leadingExplanation:
To calculate the currents in the parallel branches, we need to know the impedance of each branch. That will be the sum of the resistance and reactance.
The inductive reactance is ...
\(X_L=j\omega L=j2\pi fL=j100\pi\cdot 15.915\times10^{-3}\approx j4.99984\,\Omega\)
The capacitive reactance is ...
\(X_C=\dfrac{1}{j\omega C}=\dfrac{-j}{100\pi\cdot 318.31\times10^{-6}F}\approx -j10.00000\,\Omega\)
Branch 1
The impedance of branch 1 is ...
Z1 = 8 +j4.99984 Ω
so the current is ...
I1 = V/Z = 240/(8 +j4.99984) ≈ 25.440∠-32.005°
The power factor is cos(-32.005°) ≈ 0.848 (lagging)
Branch 2
The impedance of branch 2 is ...
Z2 = 5 -j10 Ω
so the current is ...
I2 = 240/(5 +j10) ≈ 21.466∠63.435°
The power factor is cos(63.436°) ≈ 0.447 (leading)
Total current
The total current is the sum of the branch currents. A suitable calculator can add these vectors without first converting them to rectangular form.
It = I1 +I2 = (21.573 -j13.483) +(9.6 +j19.2)
It ≈ 31.173 +j5.717 ≈ 31.693∠10.392°
The power factor for the circuit is cos(10.392°) ≈ 0.984 (leading)
__
The phasor diagram of the currents is attached.
_____
Additional comment
Given two vectors, their sum can be computed several ways. One way to compute the sum is to use the Law of Cosines. In this application, the angle between the vectors is the supplement of the difference of the vector angles: 84.560°.
I need help with this ASAP please. This is basic carpentry, I just missed the first half of the year so I am a little behind. Can somebody answer the two questions?
Answers
Answer:
the half answer is pretty easy just look at it really really good hope this helps..
Explanation:
An air conditioner operates exactly as a refrigerator; it removes heat from a cold place (a bedroom, for example) and conveys it to a warmer place (usually the outside). Quantities of practical importance in understanding the efficiency of air conditioners are the rate of heat removal and the electric power input to the unit (i.e., the electric energy consumed per unit time). Find an expression for the coefficient of performance KKK of an air conditioner that has a rate of heat removal HHH and a power consumption PPP .
Answers
The expression for coefficient of heat performance is; K = H/P
We are given the expressions;
Coefficient of performance = K
Rate of heat removal = H
Power consumption = P
Formula for coefficient of performance is usually;
K = Q/W
However, the rate of heat removal H can be further expressed as;
H = Q/T
Where;
Q is heat removed
T is time
Similarly, for power consumption, it can also be expressed as;
P = W/T
Where;
W is workdone
T is time taken
Thus, Q = HT and W = PT
Finally;
K = HT/PT
K = H/P
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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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In a negative feedback amplifier A = 100 B²=0.04 and V₁ = 50mV. find 1Gain with feedback 2 output voltage 3feedback factor 4 feedback Voltage
Answers
The values are:
1. Gain with feedback (A_f) = 20
2. Output voltage (V_out) = 1V
3. Feedback factor (B_f) = 0.008
4. Feedback voltage (V_f) = 0.008V
How to find the output voltage 3feedback factor 4 feedback VoltageTo calculate the values in the given negative feedback amplifier, we can use the following formulas:
1. Gain with feedback (A_f):
A_f = A / (1 + A * B)
A_f = 100 / (1 + 100 * 0.04)
A_f = 100 / (1 + 4)
A_f = 100 / 5
A_f = 20
2. Output voltage (V_out):
V_out = A_f * V_1
V_out = 20 * 50mV
V_out = 1V
3. Feedback factor (B_f):
B_f = B / (1 + A * B)
B_f = 0.04 / (1 + 100 * 0.04)
B_f = 0.04 / (1 + 4)
B_f = 0.04 / 5
B_f = 0.008
4. Feedback voltage (V_f):
V_f = B_f * V_out
V_f = 0.008 * 1V
V_f = 0.008V
Therefore, the values are:
1. Gain with feedback (A_f) = 20
2. Output voltage (V_out) = 1V
3. Feedback factor (B_f) = 0.008
4. Feedback voltage (V_f) = 0.008V
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What are these tools called need help with it?
Answers
Answer:
those look like clamps
Explanation:
1. Draw exactly as you see 2. Do the 1st five as highlighted 3. Show your calculations and highlight the answers else you get a ZERO. rms = peak x 0.707
peak= rms x 1.414
peak = average/0.637
RMS= average/0.9
Answers
The following is the explanation of the formulas and how they are used in calculations. These are generally used to calculate the peak value and Root Mean Square values.
1. RMS = peak x 0.707: Root Mean Square (RMS) value is a measure of the effective value of an alternating current (AC) or voltage. The formula relates the RMS value to the peak value of the AC waveform, where RMS = 0.707 x peak value.
2. Peak = RMS x 1.414: This formula is derived from the previous formula, and it is used to find the peak value of an AC waveform when the RMS value is given. Here, peak value = RMS x 1.414.
3. Peak = average / 0.637: This formula is used to find the peak value of an AC waveform when the average value is given. In this case, peak value = average value / 0.637.
4. RMS = average / 0.9: This formula is used to find the RMS value of an AC waveform when the average value is given. Here, RMS value = average value / 0.9.
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what is geo technical