Step 1: Calculating the system’s transfer functionTo find out the transfer function, take Laplace transform for both the numerator and denominator and simplify it.
\($$G(s) = \frac{C(s)}{R(s)} = \frac{4s}{s^2+6s+8}$$\)
Step 2 (i): Plotting the system’s step response for zero initial state To find the step response for zero initial state, take inverse Laplace transform for the transfer function.
\($$G(s) = \frac{4s}{(s+2)(s+4)}$$$$= \frac{A}{s+2} + \frac{B}{s+4}$$$$4s = A(s+4) + B(s+2)$$$$s = -2: A = -2$$$$s = -4: B = 4$$$$G(s) = \frac{-2}{s+2} + \frac{4}{s+4}$$$$g(t) = (-2 + 2e^{-2t} + 4e^{-4t})u(t)$$\)
Step 2 (ii): Plotting the system’s zero-input response for the initial state corresponding to (0) = 0.1The zero-input response can be calculated by applying inverse Laplace transform for the given transfer function with the initial value as 0.1.
\($$G(s) = \frac{4s}{s^2+6s+8}$$$$s^2 + 6s + 8 = 0$$$$s = -3 \pm j$$\).
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Let X and Y be independent Bernoulli variables such that P(X = 1) = p, P(Y = 1) = q for some 0 ≤ p, q ≤ 1. Find P(X ⊕2 Y = 1)
Answer:
dddddddddddddddddddddddddddddddddddddd
Explanation:
A germanium diode carries a current of 1 mA at room temperature when a forward bias of 0.15v is applied. Estimate the reverse saturation current at room temperature.
QUESTION 25 1. Which of the following does a software license usually specify? A. number of people authorized to use the software b. amount of RAM required to run the software c. geographic locations where users can run the software d. steps for installing and uninstalling the software 1 points QUESTION 26 What is the primary difference between HTML 5 and Adobe Flash types of web animations? a.Adobe Flash requires you to use a plug-in but HTML 5 does not. b. HTML 5 requires you to use a plug-in but Adobe Flash does not. c.Adobe Flash and HTML 5 play animations in the same way. d.HTML 5 is a target for malware but Adobe Flash is not.
The statement which correctly describes a thing which a software license usually specify is: A. number of people authorized to use the software.
A primary difference between HTML 5 and Adobe Flash types of web animations is that: A. Adobe Flash requires you to use a plug-in but HTML 5 does not.
What is a software license?In Computer technology, a software license can be defined as a formal agreement between an end user (customer) and the owner of a software program or software developer, that allows him or her to perform certain tasks with the software application (program).
What is HTML 5?HTML 5 is an abbreviation for hypertext markup language revision 5 and it can be defined as a standard programming language which is used for designing, structuring, developing, and presenting websites or web pages.
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1. The area(in square centimeters) of a square coaster can be represented by
d2 + 8d + 16 cm2.How long is it’s side? What is its perimeter?
Answer: (d−4) 2
Explanation: Factoring d2-8d+16
The first term is, d2 its coefficient is 1 .
The middle term is, -8d its coefficient is -8 .
The last term, "the constant", is +16
Step-1 : Multiply the coefficient of the first term by the constant 1 • 16 = 16
Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is -8 .
-16 + -1 = -17
-8 + -2 = -10
-4 + -4 = -8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and -4
d2 - 4d - 4d - 16
Step-4 : Add up the first 2 terms, pulling out like factors :
d • (d-4)
Add up the last 2 terms, pulling out common factors :
4 • (d-4)
Step-5 : Add up the four terms of step 4 :
(d-4) • (d-4)
Which is the desired factorization
Multiply (d-4) by (d-4)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (d-4) and the exponents are :
1 , as (d-4) is the same number as (d-4)1
and 1 , as (d-4) is the same number as (d-4)1
The product is therefore, (d-4)(1+1) = (d-4)2
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coil of resistance 10 Ohm and inductance of 0.1 Henry is connected in
series with condenser of capacitance of 150 micro Farad across 200 V, 50
Hz, AC supply. Find current, power, power factor, voltage drop across
coil, voltage drop across condenser and draw the phasor diagram
Answer: Your welcome!
Explanation:
Current I = 200/√(10^2 + (2π × 50 × 0.1)^2) = 200/√1000 = 14.14 A
Power P = I2R = 14.142 × 10 = 141.4 W
Power factor PF = cos φ = R/√(R2 + X2) = 10/√(102 + (2π × 50 × 0.1)2) = 0.99
Voltage drop across resistance VR = I × R = 14.14 × 10 = 141.4 V
Voltage drop across condenser VC = I × X = 14.14 × 2π × 50 × 0.1 = 44.18 V
The phasor diagram is shown below:
Phasor Diagram
V = 200 V at 0°
I = 14.14 A at -90°
VR = 141.4 V at 0°
VC = 44.18 V at +90°
a)Develop an expression relating Vo to Vi for the case when the integrator is driven by a sinusoidal input signal.
b)Derive the transfer function Vo/Vi for the integerator wth a resistor added in parallel with the capacitor. Why does the addition of this resistor help eliminate effects of dc offset and drift?
The output of the system is theoretically simulated for each probable input by a mathematical function known as a system function or network function of a system, sub-system, or component.
In electronics and control systems, they are commonly employed. This function sometimes referred to as a transfer curve or characteristic curve, is a two-dimensional graph of an independent scalar input vs a dependent scalar output. In electronics and control theory, transfer functions for components are used to construct and assess systems made up of components, particularly when utilizing the block diagram technique. The transfer function's parameters and units replicate the device's output response to a variety of potential inputs. If L = 1H, Vo (s) is equal to Vi(s) * sL 1 / 1 + sL 1 = Vi (s) * s1 / 1+ s1. The formula for Vo (s) is Vi (s) * s*1/s+1/s*1/s+1 + 1.G(s) = s/2s + 1 G(s) = Vo(s)/Vi(s) = s/s + 1+
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Which documents are required to be carried aboard each domestic air carrier flight?
Answer:
Completed load manifest, dispatch release and flight plan
A bona fide established commercial marketing agency is a business which is specifically devoted to public relations, advertising and promoting the services of a client. True or False
Answer:
True
Explanation:
Bona Fide is a Latin term which means in good faith or without any intention to deceive. The business established on a bona fide basis means that there is an absence of fraud. The marketing agency has devoted its services to public relations, advertising and promoting the services of clients. There is no intention of fraud in the business.
If the hypotenuse of a right triangle is 12 and an acute angle is 37 degrees find leg a and leg b lengths
scrity añao devid codicie
Technician A says that movement does not have to occur to have torque. Technician B says that torque is a twisting force. Who is correct?
Technician A says that movement does not have to occur to have torque. Technician B says that torque is a twisting force: True, both technicians are correct.
What is torque?Torque can be defined as a measure of the amount of force which causes a physical object to rotate about an axis. This ultimately implies that, torque is a force which tends to cause the rotation of a physical object about an axis.
In Mechanics, torque is also referred to as a twisting force, moment of force, moment or rotational force. Also, it is generally considered as the rotational equivalent of a linear force.
In this context, we can infer and logically deduce that torque is a twisting force and movement (motion) does not have to occur for a physical object to have torque.
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Sarah is a site investigator for a large construction firm. She is considering Miguel, a former geology student with experience as an intern at an architecture firm, for an assistant site investigation position. Which of the following is most relevant to her decision?
Answer: A. whether his geology studies exposed him to principles of geotechnical engineering
Explanation:
The options include:
a. whether his geology studies exposed him to principles of geotechnical engineering
b. the size of the geology program he attended
c. the size of the architecture firm
d. whether the architecture firm was intending to offer Miguel a full-time position
Since Miguel, is a former geology student with experience as an intern at an architecture firm, and Sarah is considering him for an assistant site investigation position, the option that will be relevant for her to make a decision is to know whether his geology studies exposed him to principles of geotechnical engineering.
Geotechnical engineering, is a branch of engineering that makes use of principles of rock mechanics to solve engineering challenges. Since Sarah needs him for an assistant site investigation position, he'll need to investigate souls, rocks and evaluate them.
which of the following acceptance tests is optional for a 13200-480y/277v 2500kva dry-type transformer?
In the context of a 13200-480Y/277V 2500kVA dry-type transformer, the following acceptance test is optional:
Partial Discharge Test
This test is not always required, but it can be helpful in detecting defects or problems related to insulation within the transformer. Other mandatory acceptance tests for a dry-type transformer typically include:
1. Ratio Test
2. Winding Resistance Measurement
3. Insulation Resistance Test
4. No-load Loss and Excitation Current Test
5. Load Loss and Impedance Voltage Test
Remember that requirements may vary depending on the specific transformer or industry standards, so it's important to consult the manufacturer or relevant documentation for the particular transformer you're working with.
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what is the division of demand
As you encounter unfamiliar key torms in your eText, how can you leamn their definitions? Note that key terms may oppoar in boid or in a diferent color in your eted Select all that apply. O Select the Search icon and enter the term into the seurch feld. A definitian will show up in the Key torms saction of Eie fesulfs. O Select the Playlist icon and select the module you want to hear O Select the Table of Contents or the Navigation icon and navigate to the Glossary. O Select the key term in your eText and a pop-up defintion wel appear
A) Select the Search icon and enter the term into the search field. A definition will show up in the Key Terms section of the search results.
What is Key Terms?Key Terms are words or phrases used to describe a concept or idea. They are often used in the field of academia to help define the scope of a particular study or research project. Key Terms are also used in business and legal documents to provide a concise and precise description of a concept or idea. By providing clear definitions for each key term, it helps to ensure that all parties involved in a discussion or agreement are on the same page.
C) Select the Table of Contents or the Navigation icon and navigate to the Glossary.
D) Select the key term in your eText and a pop-up definition will appear.
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The answer is all income (&) expenses
Answer:
NICE
Explanation:
A yeast culture weighing 2 grams is removed from a refrigerator unit and is expected to grow at the rate of W'(t)=0.3e02 grams per hour at a higher controlled temperature. How much will the weight of the culture increase during the first 8 hours of growth? How much will the weight of the culture increase from the end of the 8th hour to the end of the 16th hour of growth?
The weight increase during the first 8 hours is approximately grams. (Type an integer or decimal rounded to three decimal places as needed.)
The weight of the culture will increase approximately 0.859 grams during the first 8 hours of growth.
To find the weight increase during the first 8 hours of growth, we can integrate the rate of growth function W'(t) over the interval [0, 8].
Given that W'(t) = \(0.3e^0.2\)grams per hour, the weight increase during the first 8 hours is:
\(∫[0, 8] W'(t) dt = ∫[0, 8] 0.3e^0.2 dt\)
Integrating this function, we have:
\(∫[0, 8] 0.3e^0.2 dt = 0.3∫[0, 8] e^0.2 dt\)
Integrating \(e^0.2\) with respect to t gives:
\(0.3 * (1/0.2) * e^0.2 ∣[0, 8] = 0.3 * (5 * e^0.2 - 1)\) ≈ 0.859 grams
Therefore, the weight of the culture will increase approximately 0.859 grams during the first 8 hours of growth.
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Determine the force in members GF, GD, and CD of the truss. State if the members are in tension or compression. Take that P1 = 12 kN , P2 = 24 kN and P3 = 16 kN. Part ADetermine the force in members CD of the truss, and state if the member is in tension or compression. Express your answer to three significant figures and include the appropriate units. Assume positive scalars for members in tension and negative scalars for members in compression
To determine the force in members GF, GD, and CD of the truss, we need to use the method of joints. We start by analyzing joint A, which is connected to members AB, AC, and AD. Since joint A is in equilibrium, the forces acting on it must sum up to zero.
Using the given loads P1, P2, and P3, we can write the following equations:
∑Fx = 0: -GF + P1 cos(60°) + P2 cos(45°) = 0
∑Fy = 0: GD - P1 sin(60°) - P2 sin(45°) - P3 = 0
∑Fz = 0: -CD - P2 cos(45°) sin(60°) = 0
Solving these equations simultaneously, we get:
GF ≈ 16.37 kN (tension)
GD ≈ 23.34 kN (compression)
CD ≈ 20.59 kN (tension)
Therefore, the force in member GF is 16.37 kN in tension, the force in member GD is 23.34 kN in compression, and the force in member CD is 20.59 kN in tension.
Note: We assumed positive scalars for members in tension and negative scalars for members in compression, as stated in the question.
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(a) (6 points) Find the integer a in {0, 1,..., 26} such that a = -15 (mod 27). Explain. (b) (6 points) Which positive integers less than 12 are relatively prime to 12?
a. a = 12 is the solution to the given congruence relation. b. the positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.
(a) The main answer: The integer a that satisfies a ≡ -15 (mod 27) is 12.
To find the value of a, we need to consider the congruence relation a ≡ -15 (mod 27). This means that a and -15 have the same remainder when divided by 27.
To determine the value of a, we can add multiples of 27 to -15 until we find a number that falls within the range of {0, 1,..., 26}. By adding 27 to -15, we get 12. Therefore, a = 12 is the solution to the given congruence relation.
(b) The main answer: The positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.
Supporting explanation: Two integers are relatively prime if their greatest common divisor (GCD) is 1. In this case, we are looking for positive integers that have no common factors with 12 other than 1.
To determine which numbers satisfy this condition, we can examine each positive integer less than 12 and calculate its GCD with 12.
For 1, the GCD(1, 12) = 1, which means it is relatively prime to 12.
For 2, the GCD(2, 12) = 2, so it is not relatively prime to 12.
For 3, the GCD(3, 12) = 3, so it is not relatively prime to 12.
For 4, the GCD(4, 12) = 4, so it is not relatively prime to 12.
For 5, the GCD(5, 12) = 1, which means it is relatively prime to 12.
For 6, the GCD(6, 12) = 6, so it is not relatively prime to 12.
For 7, the GCD(7, 12) = 1, which means it is relatively prime to 12.
For 8, the GCD(8, 12) = 4, so it is not relatively prime to 12.
For 9, the GCD(9, 12) = 3, so it is not relatively prime to 12.
For 10, the GCD(10, 12) = 2, so it is not relatively prime to 12.
For 11, the GCD(11, 12) = 1, which means it is relatively prime to 12.
Therefore, the positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.
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The main target of the diplexer is to enable the antenna to work at different frequencies. *
True
False
True is the answer.....
The ambient temperature is 70° and the humidity is low. With the AC on, what should the high-side gauge pressure be?
The high-side gauge pressure can not be calculated as information given here is not sufficient. The correct option is C.
What is high-side gauge pressure?The pressure of the refrigerant on the high side of the air conditioning system, which is the side of the system following the evaporator, is measured by the high-side gauge pressure.
The type of refrigerant used, the size and architecture of the AC system, as well as the surrounding temperature and humidity, all have an impact on the high-side gauge pressure in an air conditioning system.
Low humidity is typically regarded as advantageous for air conditioning systems since it lowers the quantity of moisture in the air, which can facilitate the system's ability to chill the air.
However, it is impossible to precisely calculate what the high-side gauge pressure should be under these circumstances without knowing more details about the particular AC system.
It is preferable to seek advice from a licensed HVAC expert or review the system's manufacturer's specs.
Thus, the correct option is C.
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Your question seems incomplete, the complete question is attached below:
mechanical engineering Please describe how you have prepared for your intended major, including your readiness to succeed in your upper-division courses once you enroll at the university.
Aspiring for success in a chosen major such as Mechanical Engineering would require a strong will or zeal to pull through and succeed, which is an ideal psychological prerequisite to success.
Additionally, Mechanical Engineering is a mix of Mathematics and Physics, a good background knowledge of these subjects would go a long way to ease your journey as it will aid the ability to grasp new concept and applications.Similarly, simulation and software packages related to Mechanical Engineering should be held in high esteem. This is because it will aid in understanding the practical aspect of the course and certainly yield good result.Hence, the combination of practical and theoretical knowledge in basic subject coupled with determination should be enough to succeed.
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Liquid natural gas is transported by a ship. A typical LNG tank Liquid natural gas may have a capacity of 105 m3. If this fuel is used to provide for a city a population of a million and each person consumes power at an average rate of 10 kw, how long would the LNG last?
* The volume of Liquefied natural gas (LNG) is 1/600 that amount of natural gas (STP).
Given all variables are previously declared integers, which expression is equivalent to the following expression? !(a > d || c != q)
a. a <= d || c == q
b. a <= d && c == q
c. a < d && c == q
d. a < d || c == q
The equivalent expression to !(a > d || c != q) is (a <= d && c == q).
The expression (a <= d && c == q) is equivalent to !(a > d || c != q).
The original expression contains the logical NOT operator (!) at the beginning, which negates the result of the expression inside the parentheses. Inside the parentheses, we have (a > d || c != q), which is a logical OR operation between (a > d) and (c != q). By De Morgan's Laws, the negation of a logical OR operation is equivalent to the logical AND operation of the negations of the individual conditions. Therefore, the expression (a <= d && c == q) is the equivalent expression, where (a <= d) corresponds to the negation of (a > d), and (c == q) corresponds to the negation of (c != q).
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The critical crack length for a through crack in a thick plate of 7150-T651 aluminum alloy that is in uniaxial tension. For this alloy Kic = 25.5 MPa SqRt.(m) and sigma f = 400 MPa. Assume Y = SqRt. (pi)
The critical crack length for a through crack in a thick plate of 7150-T651 aluminum alloy under uniaxial tension can be determined using fracture mechanics principles. For this particular alloy, the fracture toughness (Kic) is given as 25.5 MPa√m, and the ultimate tensile strength (σf) is 400 MPa.
By assuming a yield strength (Y) equal to the square root of pi, the critical crack length can be calculated.
Fracture mechanics is a field of study that deals with the behavior of materials when subjected to cracks or flaws. The critical crack length represents the maximum allowable size of a crack within a material before it fails catastrophically. In this case, we are considering a through crack in a thick plate of 7150-T651 aluminum alloy that is subjected to uniaxial tension.
To determine the critical crack length, we need to use the fracture toughness value (Kic) and the ultimate tensile strength (σf) of the material. The fracture toughness measures a material's resistance to crack propagation, and it is given as 25.5 MPa√m for this particular aluminum alloy. The ultimate tensile strength represents the maximum stress the material can withstand before failure, and it is specified as 400 MPa.
In fracture mechanics, the critical crack length can be calculated using the equation:
a = (Kic / (Y * σf))²
Here, Y represents the yield strength of the material. In this case, Y is assumed to be equal to the square root of pi (√π). By substituting the given values into the equation, we can determine the critical crack length for the 7150-T651 aluminum alloy under uniaxial tension.
The calculation of the critical crack length will provide a value in terms of the crack size (a). This value represents the maximum allowable crack length before failure occurs. It is crucial to consider the critical crack length in engineering applications to ensure the structural integrity and safety of components made from the aluminum alloy.
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3 4/5÷2/5 as a fraction
Answer:
9 1/2
Explanation:
3 4/5 is 3.8
2/5 is 0.4
divide 3.8 by 0.4 you get 9.5 which is 9 1/2 in a fraction
One of the principles of supply chain strategy
The principle of supply chain strategy is Segregate customers on the basis of service needs of different groups and follow the supply chain to deliver goods and services to the consumers profitably.
What is supply chain?Supply chain is the group of activities performed by an organization to deliver goods and services to the consumer end.
Thus, one of the principle of supply chain strategy is separate the customers on the basis of service needs of different groups and follow the supply chain to deliver goods and services to the consumers so that they earn profit.
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Use the following transfer functions to find the steady-state response yss(t) to the given input function f(t). A. T(s) = Y(s)/F(s) = 10/(10s + 1)(4s + 1), f(t) = 10 sin 0. 2 t b. T(s) = Y(s)/F(s) = 1/2s^2 + 20s + 200, f(t) = 16 sin 5t
Using the following transfer functions to find the steady-state response yss(t) to the given input function f(t) the steady-state response to the input f(t) = 16 sin 5t.
(a) First, we need to find the Laplace transform of the input function f(t):
F(s) = L{f(t)} = L{10 sin 0.2t} = 10/(s^2 + 0.04)
Then, we can find the steady-state response by evaluating the transfer function at s = jω (where j = sqrt(-1) and ω is the frequency of the input signal):
T(jω) = Y(jω)/F(jω) = 10/[(10jω + 1)(4jω + 1)]
|T(jω)| = |Y(jω)/F(jω)| = 10/|10jω + 1||4jω + 1|
Phase angle of T(jω) = phase angle of 10 - phase angle of (10jω + 1) - phase angle of (4jω + 1)
At steady state, the output will have the same frequency as the input (ω = 0.2), so we can substitute ω = 0.2 in the above expressions to get:
|T(j0.2)| = 10/|2j + 1||0.8j + 1| ≈ 0.267
Phase angle of T(j0.2) = phase angle of 10 - phase angle of (2j + 1) - phase angle of (0.8j + 1) ≈ -2.06 radians
Finally, we can find the steady-state response by taking the inverse Laplace transform of T(j0.2):
yss(t) = L^-1{T(j0.2)} = 0.267 cos(0.2t - 2.06)
Therefore, the steady-state response to the input f(t) = 10 sin 0.2t is yss(t) = 0.267 cos(0.2t - 2.06).
(b) First, we need to find the Laplace transform of the input function f(t):
F(s) = L{f(t)} = L{16 sin 5t} = 16/(s^2 + 25)
Then, we can find the steady-state response by evaluating the transfer function at s = jω (where j = sqrt(-1) and ω is the frequency of the input signal):
T(jω) = Y(jω)/F(jω) = 1/(2jω^2 + 20jω + 200)
|T(jω)| = |Y(jω)/F(jω)| = 1/|2jω^2 + 20jω + 200|
Phase angle of T(jω) = phase angle of 1 - phase angle of (2jω^2 + 20jω + 200)
At steady state, the output will have the same frequency as the input (ω = 5), so we can substitute ω = 5 in the above expressions to get:
|T(j5)| = 1/|2(-25)j + 20j + 200| ≈ 0.0126
Phase angle of T(j5) = phase angle of 1 - phase angle of (2(-25)j + 20j + 200) ≈ -1.46 radians
Finally, we can find the steady-state response by taking the inverse Laplace transform of T(j5):
yss(t) = L^-1{T(j5)} = 0.0126 cos(5t - 1.46)
Therefore, the steady-state response to the input f(t) = 16 sin 5t.
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What effect did the Ice Age have on early humans
Answer:
The development of homosapiens
Explanation:
People adapted to the harsh weather by creating tools and used land bridges to spread to new regions
What can firefighters do to reduce the risk to people living in Skyview?
Answer:
The City can grant higher budgets to emergency services like the Fire Department, so a higher budget will allow engineers & scientists to innovate new technology and add more fire stations across the city.
Explanation:
What are the indications that Cece is having problems
with her computer hardware? Check all that apply
-losing the Internet connection
-waiting for five minutes
-computer going blank
-mouse pointer freezing
-keyboard getting stuck
Answer:
-Computer going blank .
-Mouse pointer freezing.
-Keyboard getting stuck.
Explanation:
Any problems with the computer related to its hardware will consist of issues directly related to the physical components of the PC or computer. So any problem involving the physical component of the computer, then it can be termed as a hardware problem.
Based on the problems given in the option, the hardware issues will be problems with the computer, mouse, and keyboard. These form the physical parts of the computer so they will be a hardware issue.
Thus, the correct answers are the third, fourth, and fifth options.
Answer:
c d e
Explanation: