Square planar..Lone pairs will be on axial plane..pdf

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Square planar..Lone pairs will be on axial plane..so no deflection..so the compoud structure looks like square planar. Solution Square planar..Lone pairs will be on axial plane..so no deflection..so the compoud structure looks like square planar..

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1) Now we consider that the product is lawnmower. Validation tests include the scenarios in which the product will work or not and this process is done by the product managing team itself. Does it cleans even? What happen when suddenly power is off? How much far we can move it? How much time it takes for a particular unit ? These all are some tests including in the validation tests... Verification tests, It includes verifying whether the build the right product. Following are few tests that can be included: What happens if stone is there? What if there is raining? How it works in an uneven place? These are few tests to be conducted under verification... 2) 1. REQUIREMENTS A documented software requirements specification provides a baseline for both validation and verification. The software validation process cannot be completed without an established software requirements specification (Ref: 21 CFR 820.3(z) and (aa) and 820.30(f) and (g)). 2. DEFECT PREVENTION Software quality assurance needs to focus on preventing the introduction of defects into the software development process and not on trying to \"test quality into\" the software code after it is written. Software testing is very limited in its ability to surface all latent defects in software code. For example, the complexity of most software prevents it from being exhaustively tested. Software testing is a necessary activity. However, in most cases software testing by itself is not sufficient to establish confidence that the software is fit for its intended use. In order to establish that confidence, software developers should use a mixture of methods and techniques to prevent software errors and to detect software errors that do occur. The \"best mix\" of methods depends on many factors including the development environment, application, size of project, language, and risk. 3. TIME AND EFFORT To build a case that the software is validated requires time and effort. Preparation for software validation should begin early, i.e., during design and development planning and design input. The final conclusion that the software is validated should be based on evidence collected from planned efforts conducted throughout the software lifecycle. 4. SOFTWARE LIFE CYCLE Software validation takes place within the environment of an established software life cycle. The software life cycle contains software engineering tasks and documentation necessary to support the software validation effort. In addition, the software life cycle contains specific verification and validation tasks that are appropriate for the intended use of the software. This guidance does not recommend any particular life cycle models - only that they should be selected and used for a software development project. 5. PLANS The software validation process is defined and controlled through the use of a plan. The software validation plan defines \"what\" is to be accomplished through the software validation effort. Software validation .

The alcohol generally have the higher boiling poi.pdf

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For water molecule, all modes of vibrations wolud.pdf

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For water molecule, all modes of vibrations wolud produce variable dynamic dipole moment so IR inactive. For CO2 molecule, symmetric stretch would not produce variable dipolement so IR inactive. the other two are IR active. Solution For water molecule, all modes of vibrations wolud produce variable dynamic dipole moment so IR inactive. For CO2 molecule, symmetric stretch would not produce variable dipolement so IR inactive. the other two are IR active..

What do the fields of cosmology, financial matters, fund, law, scien.pdf

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What do the fields of cosmology, financial matters, fund, law, science, prescription, material science, and human science have in like manner? Very little in the method for subject matter, that is without a doubt. Furthermore, not too much in the method for system. What they do have in like manner, with each other and with numerous different fields, is their reliance on a specific standard of discernment. In each of these fields, it is expected that the members can separate between normal argumentation taking into account expected standards or confirmation, and wild hypothesis or nonsequiturs, claims that not the slightest bit take after from the presumptions. In other words, these fields all presuppose a fundamental acknowledgment of essential standards of rationale. Besides, all objective request relies on upon rationale, on the capacity of rationale and balanced individuals to reason accurately more often than not, and, when they neglect to reason request effectively, on the capacity of others to call attention to the holes in their thinking. While individuals may not all concede to a ton, they do appear to have the capacity to concur on what can really be closed from given data. Acknowledgment of these normally held standards of soundness is the thing that separates reasonable request from different types of human movement. Exactly what are the standards of judiciousness presupposed by these orders? Also, what are the procedures by which we can recognize right or \"substantial\" thinking from erroneous or \"invalid\" thinking? All the more fundamentally, what is it that makes one case \"take after intelligently\" from some given data, while some other case does not? Numerous responses to these inquiries have been investigated. A few people have asserted that the laws of rationale are only a question of tradition. In the event that this is in this way, rationale and tradition we could probably choose to change the traditions, thus embrace diverse standards of rationale, the way we can choose which side of the street we drive on. In any case, there is a staggering instinct that the laws of rationale are some way or another more major, less subject to revoke, than the rules that everyone must follow, or even the laws of material science. We can envision a nation in which a red activity light means go, and a world on which water streams up slope. Be that as it may, we can\'t envision a world in which there both are and are not nine planets. The significance of rationale has been perceived since artifact. All things considered, no science can be any more sure than its weakest connection. On the off chance that there is something self-assertive about rationale, then the same must hold of all sound request. Consequently laws of rationale it gets to be significant to see exactly what the laws of rationale are, and even more vital, why they are laws of rationale. These are the issues that one takes up when one studies rationale itself. To study ra.

e) Te S Solution e) Te.pdf

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view sourceprint01 #includefstreamSolutionview sourceprint.pdf

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These antibodies could be acquired by;1. Infection by measles viru.pdf

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There are many theories regarding extinction of H Neanderthals. The .pdf

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There are many theories regarding extinction of H Neanderthals. The new evidences (improved radiocarbon dating) show that they co existed with H sapiens for around 5000 years. 1. Violence: There might be conflicts with H sapiens for limited resources, prey and water. 2. Volcanic eruption: Another theory suggests violent eruption has happened around 4039,000 years ago in the Phlegraean Fields near Naples in Italy. Around 200 km3 (48 cu mi) of magma (500 km3 (120 cu mi) bulk volume) might have caused the might resulted in their extinction. 3. Parasite and Pathogens: In another theory, H neanderthalensis might be susceptible to the pathogens carried by H sapiens. The poor immunity might resulted in the lethal infection might resulted in the extinction. 4. Competitive extinctions: This theory suggests that H sapiens were having modern tools for survival helping them to invade the territory occupied by H neanderthalensis. Since, H neanderthalensis were less advanced thus might have extricated due to competitive environment. 5. Division of Labour: H sapiens were practicing division of labour between the sexes, where as H neanderthalensis both male and female were performing hunting activities together in the field. This may have resulted in poor extraction of resources. 6. Anatomical features: In another theory, due to anatomical difference H neanderthalensis could not able to sun faster than H sapiens. This walking and running advantage might helped modern human to win over the competitive environment. 7. New prays: In another theory, the larger pary (large mammals) became rarer which were hunted by H neanderthalensis. H sapienses also domesticated dogs and at the same time were dependent on smaller mammals (rabbits). Since modern man also had anatomical advantages, and change of prey population might resulted in competitive advantage to H sapiens. Solution There are many theories regarding extinction of H Neanderthals. The new evidences (improved radiocarbon dating) show that they co existed with H sapiens for around 5000 years. 1. Violence: There might be conflicts with H sapiens for limited resources, prey and water. 2. Volcanic eruption: Another theory suggests violent eruption has happened around 4039,000 years ago in the Phlegraean Fields near Naples in Italy. Around 200 km3 (48 cu mi) of magma (500 km3 (120 cu mi) bulk volume) might have caused the might resulted in their extinction. 3. Parasite and Pathogens: In another theory, H neanderthalensis might be susceptible to the pathogens carried by H sapiens. The poor immunity might resulted in the lethal infection might resulted in the extinction. 4. Competitive extinctions: This theory suggests that H sapiens were having modern tools for survival helping them to invade the territory occupied by H neanderthalensis. Since, H neanderthalensis were less advanced thus might have extricated due to competitive environment. 5. Division of Labour: H sapiens were practicing division of labour between .

the three \"Worm Nobel Prizes\" mentioned by Martin Chalfie in his nobel prize lecture are Sydney, Bob Horvitz, and John Sulston won the Nobel Prize in physiology or medicine for their work on C. elegans. Andy Fire and Craig Mello for their discovery of RNA interference. Solution the three \"Worm Nobel Prizes\" mentioned by Martin Chalfie in his nobel prize lecture are Sydney, Bob Horvitz, and John Sulston won the Nobel Prize in physiology or medicine for their work on C. elegans. Andy Fire and Craig Mello for their discovery of RNA interference..

The principle of Heliscope sequencer is based on single molecule seq.pdf

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The principle of Heliscope sequencer is based on single molecule sequencing technology. DNA of interest is sheared and made into fragments. The fragments are modified through addition of poly-A tails. The fragments are then hybridized with poly-T olignucleotides. They are attached to flow cell and sequenced parallel, using fluorescent labeled nucleotides. Each fragment is extended with a specific fluorescent labeled nucleotide. When a reaction stops, chemical cleavage of the fluorophores allows the reaction to continue. SMRT (single molecule real time sequencing) uses thousands of zero-mode waveguides. A single DNA polymerase is attached to the bottom of each ZMW and the polymerization is done. The fragment is elongated with the use of fluorescent labeled nucleotides, with each nucleotide labeled at terminal phosphate moiety that has fluorophore of different color. When the fluorescent dNTP forms a phosphodiester bond, the fluorescent pulse is stopped as the fluorophore is released and it diffuses out of ZMW. The advantage of SMRT is fastness as it is capable of addition of 100 gb per hour with reads longer than 1000 in a single run. However, Helisocpe is capable of generating short reads of 55 bases, and can sequence upto 28G. Solution The principle of Heliscope sequencer is based on single molecule sequencing technology. DNA of interest is sheared and made into fragments. The fragments are modified through addition of poly-A tails. The fragments are then hybridized with poly-T olignucleotides. They are attached to flow cell and sequenced parallel, using fluorescent labeled nucleotides. Each fragment is extended with a specific fluorescent labeled nucleotide. When a reaction stops, chemical cleavage of the fluorophores allows the reaction to continue. SMRT (single molecule real time sequencing) uses thousands of zero-mode waveguides. A single DNA polymerase is attached to the bottom of each ZMW and the polymerization is done. The fragment is elongated with the use of fluorescent labeled nucleotides, with each nucleotide labeled at terminal phosphate moiety that has fluorophore of different color. When the fluorescent dNTP forms a phosphodiester bond, the fluorescent pulse is stopped as the fluorophore is released and it diffuses out of ZMW. The advantage of SMRT is fastness as it is capable of addition of 100 gb per hour with reads longer than 1000 in a single run. However, Helisocpe is capable of generating short reads of 55 bases, and can sequence upto 28G..

The excess sodium ethoxide is decomposed into sodium hydroxide and e.pdf

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This value belongs to PPPoE session stage protocol..PPPoE is point.pdf

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This value belongs to PPPoE session stage protocol.. PPPoE is point to point protocol over ethernet... It allows communication over ethernet between two network points... This protocol is used by internet service providers to provide high speed internet services.. Solution This value belongs to PPPoE session stage protocol.. PPPoE is point to point protocol over ethernet... It allows communication over ethernet between two network points... This protocol is used by internet service providers to provide high speed internet services...

The RASopathy diseases include-SolutionThe RASopathy diseases .pdf

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Photosynthesis - converts carbon dioxide to sugarsCell cycle - con.pdf

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Photosynthesis - converts carbon dioxide to sugars Cell cycle - contains DNA replication and mitosis Osmosis - movement of water across a semipermeable membrane Enzymes - catalyze biological reactions Aerobic cellular respiration - produces ATP Solution Photosynthesis - converts carbon dioxide to sugars Cell cycle - contains DNA replication and mitosis Osmosis - movement of water across a semipermeable membrane Enzymes - catalyze biological reactions Aerobic cellular respiration - produces ATP.

public class Hello {public static void main(String[] args) { P.pdf

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Please follow the cod eand comments for description CODE #incl.pdf

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Please follow the cod eand comments for description : CODE : #include // cin cout #include // pow #include // setprecision, fixed, showpoint using namespace std; /*--Function Prototypes--*/ void displayMenu(); bool isPositive(float a); float calcSquareArea (float baseData); float calcRectangleArea (float baseData, float heightData); float calcTriangleArea (float baseData, float heightData); float calcCircleArea (float radiusData); void displayArea(float result); /*-MAIN--------------------------------*/ int main() { // declare \'base\' and \'height\' as type float // and initialize them both to 1 float base = 1; float height = 1; // declare \'area\' as type float float area; // declare \'choice\' as type int int choice; do{ // display menu and prompt for user\'s choice displayMenu(); // read in user\'s choice cin >> choice; // branch to the corresponding case for \'choice\' switch(choice) { case 1 : // validate for positive dimesion(s) // do{ // prompt for side length and read into \'base\' // }while( !isPositive( base ) ); // calcSquareArea // displayArea do{ cout << \"Enter the Length of the Each Side For the Square : \"; cin >> base; }while (!isPositive(base)); area = calcSquareArea (base); displayArea(area); break; case 2: // validate for positive dimesion(s) // prompt for base and height and read in values // calcRectangleArea // displayArea do{ cout << \"Enter the Base data of the Rectangle : \"; cin >> base; }while (!isPositive(base)); do{ cout << \"Enter the Height data of the Rectangle : \"; cin >> height; }while (!isPositive(height)); area = calcRectangleArea (base, height); displayArea(area); break; case 3: // validate for positive dimesion(s) // prompt for base and height and read in values // calcTriangleArea // displayArea do{ cout << \"Enter the Base data of the Triangle : \"; cin >> base; }while (!isPositive(base)); do{ cout << \"Enter the Height data of the Triangle : \"; cin >> height; }while (!isPositive(height)); area = calcTriangleArea (base, height); displayArea(area); break; case 4: // validate for positive dimesion(s) // prompt for radius and read into \'base\' // calcCircleArea // displayArea do{ cout << \"Enter the Radius data of the Circle : \"; cin >> base; }while (!isPositive(base)); area = calcCircleArea (base); displayArea(area); break; case 0: // alert the user \"closing program\" cout << \"Closing the Program.!\" << endl; break; default: // alert the user \"invalid option\" cout << \"Invalid Option..!!\" << endl; break; } }while(choice != 0); cout << endl; return(0); } /*-------------------------------------*/ void displayMenu() { cout << \"1. Area of a square \ \" << \"2. Area of a rectangle \ \" << \"3. Area of a triangle \ \" << \"4. Area of a circle \ \" << \"0. Exit\ \" << \"----------------------\ \" << \"Enter choice: \"; return; } bool isPositive(float a) { if(a > 0){ return true; } else { cout << \"Invalid Data..!!\" << endl; exit(0); return false; } } float calcSquareArea (float baseData) { float are.

Molar mass of NO2 = molar mass of N + 2 x molar mass of O= 14.01 +.pdf

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Milgram experiment was conducted to demonstrate the effect that figu.pdf

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Milgram experiment was conducted to demonstrate the effect that figures of authority have on the people about the obedience people show to the authority. This experiment was conducted to understand the rationale behind the Nuremberg massacre trials when millions of Jews were put to death by the Nazis. The people involved in the holocaust later presented their case in the trials that they were commanded by the authority to do so. Milgram devised a psychological study to demonstrate this behaviour. In the study, male participants were taken, from different occupational background with different level of education. They were made to obey to an authority figure to inflict pain on the other person, on the other side of the room not visible to the participant. Surprisingly enough, the study found that a very large percentage of people were willing to obey, even unwillingly to cause serious injury to a person when they are made to do so by a powerful authority. There are some critical dimensions associated with the experiment which shows that the experiment did not exactly depict the situations as present during holocaust namely: Therefore one could say that the experiment was not totally successful in depicting the situations present during the holocaust. Solution Milgram experiment was conducted to demonstrate the effect that figures of authority have on the people about the obedience people show to the authority. This experiment was conducted to understand the rationale behind the Nuremberg massacre trials when millions of Jews were put to death by the Nazis. The people involved in the holocaust later presented their case in the trials that they were commanded by the authority to do so. Milgram devised a psychological study to demonstrate this behaviour. In the study, male participants were taken, from different occupational background with different level of education. They were made to obey to an authority figure to inflict pain on the other person, on the other side of the room not visible to the participant. Surprisingly enough, the study found that a very large percentage of people were willing to obey, even unwillingly to cause serious injury to a person when they are made to do so by a powerful authority. There are some critical dimensions associated with the experiment which shows that the experiment did not exactly depict the situations as present during holocaust namely: Therefore one could say that the experiment was not totally successful in depicting the situations present during the holocaust..

Infrastructure may be owned and managed by governments or by private.pdf

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Infrastructure may be owned and managed by governments or by private companies, such as sole public utility or railway companies. Generally, most roads, major ports and airports, water distribution systems and sewage networks are publicly owned, whereas most energy and telecommunications networks are privately owned. Publicly owned infrastructure may be paid for from taxes, tolls, or metered user fees, whereas private infrastructure is generally paid for by metered user fees. Major investment projects are generally financed by the issuance of long-term bonds. Hence, government owned and operated infrastructure may be developed and operated in the private sector or in public-private partnerships, in addition to in the public sector. In the United States for example, public spending on infrastructure has varied between 2.3% and 3.6% of GDP since 1950.[9] Many financial institutions invest in infrastructure. Solution Infrastructure may be owned and managed by governments or by private companies, such as sole public utility or railway companies. Generally, most roads, major ports and airports, water distribution systems and sewage networks are publicly owned, whereas most energy and telecommunications networks are privately owned. Publicly owned infrastructure may be paid for from taxes, tolls, or metered user fees, whereas private infrastructure is generally paid for by metered user fees. Major investment projects are generally financed by the issuance of long-term bonds. Hence, government owned and operated infrastructure may be developed and operated in the private sector or in public-private partnerships, in addition to in the public sector. In the United States for example, public spending on infrastructure has varied between 2.3% and 3.6% of GDP since 1950.[9] Many financial institutions invest in infrastructure..

If the substance is in liquid state then simply boil the solution to.pdf

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a. only. The nucleus does not consist of electron.pdf

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Dollar party to Euro is possible when exchange rate of USDEUR will .pdf

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CYBER CRIMEThe crime which is performed through internet is called .pdf

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CYBER CRIME:The crime which is performed through internet is called as cyber crime. 1.It not necessary in physical appearence for criminal . 2. Online transactions are spoiled by these cyber criminals. 3.Cyber crime is a major problem in the world today in a way like mugging ,stealing...... but is different from old school times . There are many types of cyber crimes but 5 of them are listed below as follows. 1.MALICIOUS SOFTWARE :It is an internet based programm which may leads to the deviation of system from its normal activity .Hence in order to gain acess a software is required so that they can find the information easily which is present in the system. 2.CHILD SOLICITING AND ABUSE:It is an another type of cyber crime in which ,where the criminals canvass minors through the chat rooms in such a way to cause sexual exitement for the child .Hence the FBI is disbursing much time on thisCHILD SOLICITING AND ABUSE in order to prevent the child usually. 3.IDENTITY THEFT: It is a crucial problem over the internet especially in the areas of money transactions and in banking.In this area of cyber crime the criminal acess the data of a person like debit card,bank account name and number may be for the online shopping which leads to financial problem for the victim,and also the credit history. 4.HACKING:This is a kind of crime in which the persons computer is broken and his personal or sensitive information is being accessed.In this the persons information is being accessed with the use of softwares where in which the system owner may not be aware from which the system is being hacked.This is a serious issue and it is a punishable act. 5.Cyber stalking:.This is a kind of online harassement in which the victim is posed with abusive online messages and emails.Usually these criminals know the victims and they dont use offline instead they use Internet to do their illegal activities.If they believe that so and so person is not responding then they start their harassement via offline to make the persons life more pathetic. Solution CYBER CRIME:The crime which is performed through internet is called as cyber crime. 1.It not necessary in physical appearence for criminal . 2. Online transactions are spoiled by these cyber criminals. 3.Cyber crime is a major problem in the world today in a way like mugging ,stealing...... but is different from old school times . There are many types of cyber crimes but 5 of them are listed below as follows. 1.MALICIOUS SOFTWARE :It is an internet based programm which may leads to the deviation of system from its normal activity .Hence in order to gain acess a software is required so that they can find the information easily which is present in the system. 2.CHILD SOLICITING AND ABUSE:It is an another type of cyber crime in which ,where the criminals canvass minors through the chat rooms in such a way to cause sexual exitement for the child .Hence the FBI is disbursing much time on thisCHILD SOLICITING AND ABUSE in order to p.

CIA = Confidentiality of information, Integrity of information, Avai.pdf

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CIA = Confidentiality of information, Integrity of information, Availability of information. This model is designed to guide policies for information security in organization.Each field is seperately identified and respective protective measures are listed.Any breach in anyof the three fields will cause serious consequences to the parties involved. Confidentiality: Confidentiality can be called privacy.In todays world everyone has sensitive information which can be a problem if fell into wrong hands. Only the authorized person must be able to view the data while restricting the third parties to share the information.It is not much difficult to acheive this but one problem is to be considered. If we allow tough measures the original trusted user might face difficulties to view his information. so the rules should be friendly for the approriate verified user as well. Cryptography and Encryption methods are an example of an attempt to ensure confidentiality of data trasferred from one computer to another. Nowadays passwords and 2 factor authentication is being used. But addition to that there are biometric verifications,storing on truecrypt volumes,honey pots to divert intrusion attacks,security tokens,soft tokens,SSL/TLS ( for safe commuication across network),etc Integrity:. Integrity involves maintaining consistency,accuracy,trustworthiness of data over its entire life cycle. Information is only worth if its true and there are many attackers in the net who change the details of a secured file so that it looses its value. measures which can develop integrity are using file permissions and user access controls,digitally signing the data, hashing the data and sending it to the receiver to compare it with the received information using cryptography,using checksums or crptographic checksums. There should also be a facility to repair the damaged information by using strong and secure backup mechanism. Availability: This ensures that the user can get his/her information whenever he needs it. The main aim of security is to safeguared the authorized user\'s data and ensure that he gets his data at all times is crucial. some attacks mainly focusses on denying the user his access.this type of attacks are DDOS attacks.Some parties might try to block some company\'s resources to the users so that they can have more sales.Not only attackers natural disasters also might cause losing the data and denying the user his right to get his data when needed. The best solution is using offsite backups and ensuring the downtime to retreive is less.firewalls and proxies can help the tackling of dos attacks (denial of service attacks), allowing redundency for high important information can also help. Solution CIA = Confidentiality of information, Integrity of information, Availability of information. This model is designed to guide policies for information security in organization.Each field is seperately identified and respective protective measures are listed.Any bre.

C. IP spoofing is a common practice when DoS tools are used to help .pdf

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C. IP spoofing is a common practice when DoS tools are used to help the attacker mask his identity. Salami attacks, data diddling, and keystroke logging do not typically spoof IP addresses, so answers A, B, and D are incorrect. Solution C. IP spoofing is a common practice when DoS tools are used to help the attacker mask his identity. Salami attacks, data diddling, and keystroke logging do not typically spoof IP addresses, so answers A, B, and D are incorrect..

B.) CholangitisAbdominal distension commonly observed in people wi.pdf

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B.) Cholangitis Abdominal distension commonly observed in people with ascites, cirrhosis and peritonitis. Acute cholangitis or cholangitis results due to the infection of bile duct, typically by bacteria. The risk of incidence is higher in bile duct obstructed by gallstones. The symptoms of the disease include, abdominal pain, shivering or rigors, fever, malaise, symptoms of jaundice. Solution B.) Cholangitis Abdominal distension commonly observed in people with ascites, cirrhosis and peritonitis. Acute cholangitis or cholangitis results due to the infection of bile duct, typically by bacteria. The risk of incidence is higher in bile duct obstructed by gallstones. The symptoms of the disease include, abdominal pain, shivering or rigors, fever, malaise, symptoms of jaundice..

B) SpreadSolutionB) Spread.pdf

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7.41 grams Helium = 1.851 moles of Helium PV = n.pdf

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Tamralipta Mahavidyalaya

678020731-Sumas-y-Restas-Para-Colorear.pdf

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The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence. The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth. Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration. The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority. Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages. Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.

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