The gain at the cut-off frequency would be fc = sqrt(fc1 x fc2) and the value of the cut-off frequency would be A(fc) = A1(fc) x A2(fc).
To determine the low-frequency gain, gain at the cut-off frequency, and the value of the cut-off frequency for an amplifier formed by cascading 2 amplifiers with given transfer functions, we need to multiply the transfer functions and analyze the resulting function.
Let's assume the first amplifier has a transfer function of A1(s) and the second amplifier has a transfer function of A2(s). Then the overall transfer function of the cascaded amplifiers would be:
A(s) = A1(s) x A2(s)
To find the low-frequency gain, we need to evaluate the transfer function at a very low frequency (s = 0). At low frequencies, capacitors act like open circuits, and inductors act like short circuits. Therefore, we can simplify the transfer function by replacing all capacitors with open circuits and all inductors with short circuits. Then, we can evaluate the resulting expression at s = 0.
The low-frequency gain would be the value of the transfer function at s = 0, which can be found by:
A(0) = A1(0) x A2(0)
To find the gain at the cut-off frequency, we need to determine the frequency at which the transfer function starts to roll off. This frequency is called the cut-off frequency and can be found by setting the magnitude of the transfer function to 1/sqrt(2) and solving for s.
|A(s)| = 1/sqrt(2)
|A1(s) x A2(s)| = 1/sqrt(2)
|A1(s)| x |A2(s)| = 1/sqrt(2)
Let's assume that the first amplifier has a cut-off frequency of fc1 and the second amplifier has a cut-off frequency of fc2. Then the overall cut-off frequency would be:
fc = sqrt(fc1 x fc2)
Finally, to find the value of the cut-off frequency, we need to substitute the overall cut-off frequency (fc) into the transfer function and evaluate it.
A(fc) = A1(fc) x A2(fc)
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On the pavement indicate that the adjacent lane is traveling in the same direction and passing is permitted
A broken yellow line on the pavement tells that the adjacent lane is traveling in the opposite direction and passing is permitted.
A broken white line on the pavement show that the adjacent lane is traveling in the same direction and passing is permitted.
What does pavement markings show?Pavement markings are known to be tools that are used to pass infor or messages to roadway users.
Note that they tell the part of the road that one need to use, give information about conditions ahead, and others
Note that A broken yellow line on the pavement tells that the adjacent lane is traveling in the opposite direction and passing is permitted.
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A spark-ignition engine operates on an Otto cycle with a compression ratio of 9 and temperature limits of 30°C and 1000oC. The power output is 500 kW. Calculate the
a)thermal efficiency
b) mass flux of air
The thermal energy when the spark-ignition engine operates on an Otto cycle with a compression ratio of 9 and temperature limits of 30°C and 1000oC is 58%.
How to illustrate the information?From the information given, we are told that spark-ignition engine operates on an Otto cycle with a compression ratio of 9 and temperature limits of 30°C and 1000oC.
The thermal energy will be:
= 1 - 1/(1.4 - 1)
= 0.58
= 58%
Also, the mass flux of air will be illustrated below:
T2 = 729.70k
W = 224.60kj
Therefore, the mass flux will be:
= 500/224.60
= 2.226kg/s
In conclusion, the the mass flux will be 2.226kg/s.
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A wheel spins at a constant angular speed of 24rad/s.How many revolutions will the dosk go through in 5minutes?
Answer:
The wheel will go through 1146 revolutions in 5 minutes.
Explanation:
We can the formula:
[tex]\boxed{\omega = \frac{2 \pi}{T}}[/tex]
where
ω ⇒ angular speed (24 rad/s),
T ⇒ time period (? s),
and solve for T to find the time it takes for the wheel to complete one revolution.
⇒ [tex]24 = \frac{2 \pi}{T}[/tex]
⇒ [tex]T = \bf \frac{2 \pi}{24}[/tex] s
This means it takes [tex]\bf \frac{2 \pi}{24}[/tex] seconds for the wheel to complete one revolution.
Now, using the unitary method,
In [tex]\frac{2 \pi}{24}[/tex] seconds ⇒ 1 revolution completed
In 1 second ⇒ 1 ÷ [tex]\frac{2 \pi}{24}[/tex] = [tex]\frac{24}{2 \pi}[/tex] revolutions completed
In (5 × 60 = ) 300s ⇒ [tex]\frac{24}{2 \pi}[/tex] × 300 = 1145.9
≅ 1146 revolutions completed
The advantage of using a reference line to position a building is that
Answer:
The reference line helps you achieve the precise connection of Walls for clean intersections.
Explanation:
Reference Lines allow you to place lines on the plot at specific locations to mark important values. You could use these to mark control limits or to indicate a trend line for a set of data.
A thin aluminum sheet is placed between two very large parallel plates that are maintained at uniform temperatures T1 = 900 K, T2 = 300 K and emissivities ε1 = 0.3 and ε2 =0.7, respectively. Thin aluminum sheet has an ε3 of 0.1 facing on the sides of plate 1 and ε3 of 0.2 facing on the sides of plate 2. Determine (a) the net radiation heat transfer between the two plates per unit surface area of the plates (b) compare the result to that without the shield. (c) temperature of the radiation shield in steady operation
The net radiation heat transfer between the two plates per unit surface area of the plates with shield and without shied are respectively; 2282.76 W/m² and 9766.75 W/m²
How to find the net radiation heat transfer?We are given;
Temperature 1; T₁
Temperature 2; T₂
Temperature 3; T₃
Emissivity 1; ε₁ = 0.3
Emissivity 2; ε₂ = 0.7
Emissivity 3; ε₃ = 0.2
The net rate of radiation heat transfer with a thin aluminum shield per unit area of the plates with shield is;
Q'₁₂ = σ(T₁⁴ - T₂⁴)]/[((1/ε₁) + (1/ε₂) - 1) + ((1/ε₃,₁) + (1/ε₃,₂) - 1)]
Q'₁₂ = 5.67 * 10⁻⁸(900⁴ - 300⁴)/[((1/0.3) + (1/0.7) - 1) + ((1/0.15) + (1/0.15) - 1)]
Q'₁₂,shield = 2282.76 W/m²
The net rate of radiation heat transfer with a thin aluminum shield per unit area of the plates with no shield is;
Q'₁₂,no shield = σ(T₁⁴ - T₂⁴)]/((1/ε₁) + (1/ε₂) - 1))
Q'₁₂,no shield = 5.67 * 10⁻⁸(900⁴ - 300⁴)/[(1/0.3) + (1/0.7) - 1)]
Q'₁₂,no shield = 9766.75 W/m²
Then the ratio of radiation heat transfer for the two cases becomes;
Q'₁₂,shield/Q'₁₂,no shield = 2282.76/9766.75 = 0.2337 or 4/17
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Which level of acceleration should you use when accelerating on a short highway entry ramp?
The higher level of acceleration should be used when accelerating on a short highway entry ramp.
Given data:
When accelerating on a short highway entry ramp, you should use a higher level of acceleration to safely merge with the traffic already on the highway. This is particularly important when the entry ramp is short, as you need to reach the speed of the highway traffic and find a suitable gap to merge into the flow.
Using a higher level of acceleration allows you to match the speed of the vehicles on the highway more quickly and efficiently, reducing the risk of causing disruptions or potential hazards. It's essential to accelerate smoothly and decisively to ensure a safe merge onto the highway. Always follow traffic rules and guidelines while merging onto highways to ensure the safety of yourself and others.
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Assignment: Explain any three
ways that research can facilitate
the work of building technicians.
The three ways that research can facilitate the work of building technicians is that:
They will know the timeframe to start and complete the buildingThey will know the type and right materials to use.It will help them in the area of budgeting of equipment, tools and building materials needed.What do building technicians do?Building technicians are known to be people who help with some tasks around construction projects and building works.
Note that building technician overseeing a scope of tasks such as monitoring build progress and as such The three ways that research can facilitate the work of building technicians is that:
They will know the timeframe to start and complete the buildingThey will know the type and right materials to use.It will help them in the area of budgeting of equipment, tools and building materials needed.Learn more about technicians from
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A technician is building a high-performance gaming pc. which two items should the technician focus on selecting parts for the machine?
The Answer is D. The technician should remove jewelry
Explanation: A technician has been given a PC that is not powering up. After brief troubleshooting, the technician comes to the conclusion the power supply needs to be replaced. Which of the following is the NEXT step in the process of performing the repair?
A company is currently paying its employees $0.38 per mile to drive their own cars on company business. The company is considering supplying employees with cars, which would involve purchasing at $25,000 with an estimated three-year life, a net salvage value of $8,000, taxes and insurance at a cost of $900 per year, and operating and maintenance expenses of $0.22 per mile. If the interest rate is 10% and the company anticipates an employee’s annual travel to be 22,000 miles, what is the equivalent cost per mile (neglecting income taxes)?
The equivalent cost per mile is mathematically given as
Equivalent kilometer = 0.61
What is Distance?Distance is a measure of the distance between two places. Depending on context, the term "distance" might refer to a precise measurement or an approximation based on other factors. |AB| can be used to represent the distance between two points.
What is an Equivalent cost per mile?Generally, the equation for Equivalent annual cost is mathematically given as
EAC= $ 25,000 ( A/P, 10% , 3 years ) + $ 900 + $ 0.22 * 22,000 - $ 8000 ( A/F , 10% , 3 years)
Therefore
EAC= $ 25,000 * 0.402115 + $ 5740 - $ 8000 * 0.302115
EAC= $ 13,375.955
In conclusion, the Equivalent cost per kilometer
Equivalent kilometer [tex]=\frac{ 13,375.955}{22,000}[/tex]
Equivalent kilometer = 0.61
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In vertical crankshaft engines equipped with a slinger/governor gear and the proper crankcase oil level, approximately how much of the governor gear is located above the oil surface
"1/2" is the right response to this question. Approximately half of the governor gear in vertical crankshaft engines that have a slinger or governor gear and the correct amount of oil in the crankcase is placed above the oiled surface. Draining the oil from the top oil fill tube, as well as the fuel tank and the engine, should be done when the governor gear is about halfway through its rotation.
This is further explained below.
What is a crankshaft?Generally, Engine connecting rods are joined to the crankshaft through the crank mechanism, which is made up of many rotating parts, including the crankshaft, the crankpins, and the crankshaft gears.
In conclusion, "1/2" is the right answer. About half of the governor gear is visible above the oil surface in vertical crankshaft engines with a slinger or governor gear. In order to drain the oil from the top oil fill tube, both the fuel tank and the engine should be at about half of the governor gear after it is completed.
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_____require(s) driving at speeds that are reasonable and prudent for conditions.
Basic speed law requires individuals driving at speeds that are reasonable and prudent for conditions.
What is Speed?This is defined as the rate of change of the position of a body with respect to time and the unit is metre per second.
The basic speed law states that speeds which are reasonable and prudent should be adopted by drivers so as to avoid accidents and potential risks to other road users. Appropriate punishment are also meted out to defaulters in this type of scenario.
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7.35 and 7.36 For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment.
Maximum absolute values of the shear = 28 KN
Maximum absolute values of bending moment = 5.7 KN.m
How to draw Shear Force and Bending Moment Diagram?A) We can see the beam loaded in the first image attached.
For the shear diagram, let us calculate the shear from point load to point load.
From A to C, summing vertical to zero gives; ∑fy = 0: -20 - V = 0
V = -20 KN
From C to D, summing vertical to zero gives; ∑fy = 0: -20 + 48 - V = 0
V = 28 KN
From D to E, summing vertical to zero gives; ∑fy = 0: -20 + 48 - 20 - V = 0
V = 8 KN
From E to B, summing vertical to zero gives; ∑fy = 0: -20 + 48 - 20 - 20 - V = 0
V = -12 KN
For the bending moment diagram, let us calculate the bending moment from point load to point load.
At point A, the bending moment would be zero. Thus, M_A = 0 KN.m
At point C, taking moment about point C and equating to zero gives;
M_C = 0. Thus; 20(0.225) + M = 0
M = -4.5 KN.m
At point D, taking moment about point D and equating to zero gives;
M_D = 0. Thus; 20(0.525) - 48(0.3) + M = 0
M = 3.9 KN.m
At point E, taking moment about point E and equating to zero gives;
M_D = 0. Thus; 20(0.75) - 48(0.525) + 20(0.225) + M = 0
M = 5.7 KN.m
At point B, taking moment about point E and equating to zero gives;
M_E = 0. Thus; 20(1.05) - 48(0.825) + 20(0.525) + (20 * 0.3) + M = 0
M = 2.1 KN.m
2) From the attached diagrams, we can deduce that;
Maximum absolute values of the shear = 28 KN
Maximum absolute values of bending moment = 5.7 KN.m
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A __________ is a single lane used by drivers to enter and exit a freeway. a) Climbing lane b) Weave lane c) Thru lane d) Offset lane
A Weave lane is a single lane used by drivers to enter and exit a freeway.
What is this lane about?Weave lanes are known to be lanes that acts as an entrance and exits for a lot of cars in highways.
Hence, one can say that A Weave lane is a single lane used by drivers to enter and exit a freeway.
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A high compression ratio may result in;
A high compression ratio may result in compressor failure.
What is a compressor?A compressor refers to a mechanical device that is designed and developed to provide power to refrigerators, especially by increasing the pressure on air or other applicable gases.
According to heating, ventilation, and air conditioning (HVAC) information, a high compression ratio of 8: 1 or higher is most likely to result in compressor failure.
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If a dielectric material, such as teflon®, is placed between the plates of a parallel-plate capacitor without altering the structure of the capacitor, how is the capacitance affected?.
The capacitance is affected is that the capacitance increases because of the insertion of Teflon.
What is capacitance?A `is known to be a form of a device that is said to be used to save some amount of charges in any electrical circuit.
Note that the capacitor functions on the principle that the capacitance of a conductor is said to increases if an earthed conductor is taken close to it.
Hence, The capacitance is affected is that the capacitance increases because of the insertion of Teflon.
See full question below
A dielectric material, such as Teflon®, is placed between the plates of a parallel-plate capacitor without altering the structure of the capacitor. The charge on the capacitor is held fixed. How is the electric field between the plates of the capacitor affected?
The electric field is not altered, because the structure remains unchanged.
The electric field becomes zero after the insertion of the Teflon®.
The electric field decreases because of the insertion of the Teflon®.
The electric field becomes infinite because of the insertion of the Teflon®.
The electric field increases because of the insertion of the Teflon®.
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The displacement of a particle which moves along the s-axis is given by; = (−2 + 3)−0.5 Where s is in meters and t is in seconds. Determine the time at which the acceleration is zero.
The time at which the acceleration is zero is given as 4.66 seconds
How to solve for the timeFirst we have to solve for the velocity. To do this, we would have to take the derivative.
[tex]s = e^-0.5t (3 t - 2)[/tex]
Then velocity =
[tex]ds/dt = e^-0.5t (4 - 1.5 t)[/tex]
The acceleration can be gotten by finding the second derivative
[tex]a = dv/dt = e^-0.5t (.75 t - 3.5)[/tex]
To find t at acceleration = 0
We have
[tex]0 = e^-0.5t (.75t - 3.5)[/tex]
This gives t to be
t = 4.66 sec
Complete questionThe displacement of a particle which moves along the s-axis isgiven by
s = (-2+3t)e^(-0.5t), where s is in meters and t is inseconds. Plot the displacement, velocity and acceleration versustime for the first 20 seconds of motion. Determine the time atwhich the acceleration is zero.
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What protection must be provided when installing a cable in a notched stud or joist, or when a cable is run through bored holes in a stud or joist where the distance is less than NEC guidelines from the edge of the framing member to the cable
The protection that must be provided when installing a cable in a notched stud or joist are:
A steel "kick" platebushings or grommets What protection must be provided when installing a cable in a notched stud or joist?If a nonmetallic cables is said to pass through holes or slots in metal framing members, the cable that need to ]be protected is through bushings or grommets and it is used to cover all metal edges and rightly fastened in the opening before one can install the cable.
Hence, The protection that must be provided when installing a cable in a notched stud or joist are:
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Continued and/or excessive heat and centrifugal force on turbine engine rotor blades is likely to cause?
Answer:
Continued and/or excessive heat and centrifugal force on turbine engine rotor blades is likely to cause creep.
Explanation:
Creep is a technical term for permanent elongation that happens over time. Heat will result in the rotor blades' material becoming less dense which will allow the material to stretch since the force is centrifugal.
Which load balancing method is supported in equal cost multipath (ECMP) load balancing when SD-WAN is enabled
Volume load balancing method is supported in equal cost multipath (ECMP) load balancing when SD-WAN is enabled.
What is load balancing method?Load balancing means are regarded as a form of an algorithms or method that is used to rightly share an incoming server request or traffic in the midst or among servers that is from the server pool.
Note that Volume load balancing method is supported in equal cost multipath (ECMP) load balancing when SD-WAN is enabled as that is its role.
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When referring to private land use restrictions, fence height, additional structures, and architectural design are generally categorized under ______.
The fence height, additional structures, and architectural design are generally categorized under covenants.
What is the land use about?The primary private land-use control is known to be a form of a deed restrictions, that hinders what a person can do on the property as regards to the owner.
Note that in the case above, the fence height, additional structures, and architectural design are generally categorized under covenants.
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Datums and benchmarks are used for ______
Answer:
Measuring elevations
Explanation:
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What is R-1234yf cylinder color
Answer: The red color on the cylinder is indicative of the material's flammability.
Explanation:
(a) Describe the various strategies for dealing with the problem of self-occlusion in object data capture
The strategies for dealing with the problem of self-occlusion in object data capture are:
The use of a tracking methods that is said to handle occlusion via the modelling of the object motion though the use of linear and non-linear dynamic models. The derived models is known to be often used in telling the object location if a tracked object is said to be occluded until the object shows up again.What is occlusion in object detection?Occlusion is known to often takes place if two or more objects are seen too close and are seen to be merged or combine with one another.
Note that in the case above, The strategies for dealing with the problem of self-occlusion in object data capture are:
The use of a tracking methods that is said to handle occlusion via the modelling of the object motion though the use of linear and non-linear dynamic models. The derived models is known to be often used in telling the object location if a tracked object is said to be occluded until the object shows up again.Learn more about object detection from
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Draw the schematics for the following two battery connections. Can you explain the value of the output voltage in the series connection
if two 1.5 ya alt batteries are connected to head to the tail the voltage is 3.0 volt it is the because the battery is insidious reduce a voltage equal to number of battery is multiplied by the voltage of individual
If your crew is the first to arrive on the scene of a major mci, what will be a major aspect of your scene size-up?
If your crew is the first to arrive on the scene of a major MCL, The major aspect of your scene size-up will be to Make a sweep to determine what needs must be met. Option D. This is further explained below.
What is the scene of an MCL?Generally, If your team is the first to arrive at the scene of a significant MCL, the most important part of your scene size-up will be to do a sweep to identify the requirements that need to be satisfied. Choose option D.
In conclusion, A medial collateral ligament (MCL) injury occurs when the ligament on the inside of the knee is stretched, partially torn, or completely ruptured. Most knee injuries are caused by an excessive amount of valgus stress on the knee, which is one of the most prevalent.
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CQ
If your crew is the first to arrive on the scene of a major MCI, what will be a major aspect of your scene size-up?
A.
Make an initial scene report to the communications center.
B.
Control on-scene communication as help arrives.
C.
Prevent uncoordinated or undirected activity at the scene.
D.
Make a sweep to determine what needs must be met.
An inverter has a balanced 3-phase, 277/480 V output and is installed a distance, d, ft from the point of utility connection. The DC/AC converter shown below in the inverter. And the distance d is the physical separation between this DC/AC converter and the PCC. (
An expression for the voltage drop between inverter and PUC
[tex]V D \rightarrow \frac{I(\Omega / k f t) d}{2770}$[/tex]
This is further explained below.
What is an expression for the voltage drop between the inverter and PUC?Generally, the equation for Voltage drop is mathematically given as
[tex]V=\frac{I R}{V}[/tex]
Therefore
[tex]\%$ Voltage drop $=\frac{I R}{V} * 100\\\\$\rightarrow \frac{100 I(\Omega / 15 f t) d}{1000 V_{p}}\\\\$V_{P}=277 \mathrm{~V}$[/tex]
[tex]V D=\frac{I(\Omega / \mathrm{kft}) d}{10 * 2770} \rightarrow \frac{I(\Omega / \mathrm{kft}) d}{2770} \mathrm{~V}\\\\$\% V D \rightarrow \frac{I(\Omega / k f t) d}{2770}$[/tex]
In conclusion, the expression for the voltage drop between inverter and PUC
[tex]V D \rightarrow \frac{I(\Omega / k f t) d}{2770}$[/tex]
CQ
An inverter has a balanced 3-phase, 277/480 V output and is installed a distance, d, ft from the point of utility connection. The DC/AC converter is shown below in the inverter. And the distance d is the physical separation between this DC/AC converter and the PCC.
Derive an expression for the voltage drop between inverter and PUC in terms of d using the basic equation %VD =100IR/V.
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Which of the following best describes electronic stability control? A Hydraulic valves prevent wheels from locking up. B Traction-control valves help wheels to grip the road. C Sensors tell actuators to brake if the car is sliding or turning sharply. D An engine-control computer tells the driver how to correct the trajectory.
The option that best describes electronic stability control are:
Option A Hydraulic valves prevent wheels from locking up. Option C: Sensors tell actuators to brake if the car is sliding or turning sharply. What does electronic stability control do?The electronic stability control is known to be that which helps to hinder loss of control in regards to curves and emergency steering maneuvers and it often stabilizes the car if it begins to move off an intended path.
Hence, The option that best describes electronic stability control are:
Option A Hydraulic valves prevent wheels from locking up. Option C: Sensors tell actuators to brake if the car is sliding or turning sharply.Learn more about stability control from
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P=3000W
f1=0.9
f2=0.5
A=15mm2
travel speed=?
The Travel Speed at which the welding operation can be accomplished is given as 7.147mm/s. See the computation below.
What is travel speed?The travel speed of the welding flame or gun across the workpiece is simply measured in millimeters per minute.
Travel speed, along with voltage and amperage, is one of three factors in arc welding that affect the amount of heat input.
What is the calculation that justifies the above answer is?We are given the following:
Melting temperature = 1650 K
k = (3.33 * 10⁻⁶) * (1,650)²
k = 9.066 J/mm^3
The formula for velocity here is given as:
V = f1 * f2 * Rh / (k*A)
V = 0.9 * 0.6 * 3000 / (9.066*25)
V = 7.147 mm/s
Hence, the Travel Speed at which the welding operation can be accomplished is given as 7.147mm/s.
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featers of first generation computers
First generation computers were also referred to as vacuum-tube computer and they can be defined as a type of computer system that were designed and developed to make use of vacuum tubes for their logic circuitry.
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Complete Question?
What are the features of first generation computers?
Which two events in britain indirectly influenced the american revolution?
enlightenment philosophers established which two of the following ideas?
Answer:
passage of the English will of right