Questões - AFA | Gabarito e resoluções

(AFA - 2018) O menor dos possveis coeficientes do termo em x8, no desenvolvimento de (2 + x2 + 3x3)10 igual a

(AFA - 2018) Sejam a e b nmeros positivostais queo determinante da matriz M, a seguir, vale 24. Dessa formao determinanteda matriz igual a:

(AFA - 2018) Considere no plano cartesiano as retas r e s dadas pelas equaes: r : 3x + 3py + p = 0 s : px + 9y 3 = 0 com . Baseado nessas informaes, marque a alternativa INCORRETA.

(AFA - 2018)Considere no plano cartesiano a circunferncia tangente bissetriz dos quadrantes mpares no ponto A (1, 1). Sabendo que a reta t : x - y + 4 = 0 tangencia no ponto B, marque a opo correta.

(AFA - 2018) No plano cartesiano, os pontos P(x, y)satisfazem a equaoda curva Se F1 e F2 so os focos detais que a abcissa de F1 menor que a abcissa de F2, INCORRETO afirmar que

(AFA - 2018) Considere a funo real, x -1. Se, ento igual a

(AFA - 2018) Considere os nmeros A, B e C a seguir. A = log2527 . log45 . log32 B = logn(lognnnn), com n natural maior que 2. C = (a/b)logc. (b/c)loga. (c/a)logb, com {a, b, c} contido em R+*. A correta relao de ordem entre os nmeros A, B e C

(AFA - 2018) Seja uma funo definida por Analise as proposies a seguir e classifique-as em V (VERDADEIRA) ou F (FALSA). ( ) A funo injetora. ( ), a funo crescente ( ) A funo,inversa de, dada por, tal que A sequncia correta

QUESTO ANULADA (AFA - 2018) No crculo de centro Oa seguir,, M o ponto mdio dee a rea y do tringulo retngulo ONM dada em funo do comprimento x do arco, com Assim sendo, correto afirmar que y (a) decrescente se (b)assume valor mximo 0,125 m2 (c)pode assumir valor igual a (d) sempre um nmero racional.

(AFA - 2018) A figura a seguir um pentgono regular de lado 2 cm. Os tringulos DBCe BCPso semelhantes. A medida de uma das diagonais do pentgono regular, em cm, igual a

(AFA - 2018) Considere o slido geomtrico obtido pela rotao de 360 dotringuloem torno da reta que passa pore paralela ao lado. Sabe-se que este tringulo issceles, com(sendouma constante real positiva), e que o volume do slido obtido . A medida de, em metros, igual a

(AFA - 2018) Na tabela a seguir esto relacionados os salrios de todos os funcionrios das classes A, B e C de uma empresa cuja mdia salarial R$ 1 680,00. Se a mediana para a distribuio de frequncias obtida acima m, ento a soma dos algarismos de m igual a

(AFA - 2018) TEXTO PARA A PRXIMA QUESTO. FOOD SHORTAGE CAUSES, EFFECTS AND SOLUTIONS Food shortage is a serious problem facing the world and is prevalent in sub-Saharan Africa. The scarcity of food is caused by economic, environmental and social factors such as crop failure, overpopulation [5] and poor government policies are the main cause of food scarcity in most countries. Environmental factors determine the kind of crops to be produced in a given place, economic factors determine the buying and production capacity and socio-political factors determine [10] distribution of food to the masses. Food shortage has far reaching long and short term negative impacts which include starvation, malnutrition, increased mortality and political unrest1. There is need to collectively address the issue of food insecurity using both emergency and long [15] term measures. Causes of food shortages There are a number of social factors causing food shortages. The rate of population increase is higher than increase in food production. The world is consuming [20] more than it is producing, leading to decline in food stock and storage level and increased food prices due to soaring2 demand. Increased population has led to clearing of agricultural land for human settlement reducing agricultural production (Kamdor, 2007). [25] Overcrowding of population in a given place results in urbanization of previously rich agricultural fields. Destruction of forests for human settlement, particularly tropical rain forest has led to climatic changes, such as prolonged droughts and desertification. Population [30] increase means more pollution as people use more fuel in cars, industry, domestic cooking. The resultant effect is increased air and water pollution which affect the climate and food production. Environmental factors have greatly contributed [35]to food shortage. Climatic change has reduced agricultural production. The change in climate is majorly caused by human activities and to some small extent natural activities. Increased combustion of fossil fuels due to increasing population through power plant, motor [40] transport and mining of coal and oil emits green house gases which have continued to affect world climate. Deforestation of tropical forest due to human pressure has changed climatic patterns and rainfall seasons, and led to desertification which cannot support a crop [45] production. Land degradation due to increased human activities has impacted negatively on agricultural production (Kamdor, 2007). Natural disasters such as floods, tropical storms and prolonged droughts are on the increase and have devastating impacts on food security [50] particularly in developing countries. There are several economic factors that contribute to food shortage. Economic factors affect the ability of farmers to engage in agricultural production. Poverty situation in developing nations have reduced their capacity to produce food, as [55] most farmers cannot afford seed and fertilizers. They use poor farming methods that cannot yield3 enough, even substantial use. Investments in agricultural research and developing are very low in developing nations. Recent global financial crisis have led to increase in food prices [60] and reduced investments in agriculture by individuals and governments in developed nations resulting in reduced food production. Effects of food shortage There are a number of short term effects of food shortage. [65] The impact on children, mothers and elderly are very evident as seen in malnutrition and hunger related deaths. Children succumb to hunger within short period as they cannot stand long period of starvation and they die even before the arrival of emergency [70] assistance. There are also long term effects of food shortage. These include increase in the price of food as a result demand and supply forces. Increasing cost of food production due to the increase in fuel prices coupled [75]with persistent drought in grain producing regions has contributed to the increase in the price of food in the world. Increase in oil price led to increase in the price of fertilizers, transportation of food and also industrial agriculture. Increasing food prices culminated in political [80] instability and social unrest in several nations across the globe in 2007, in countries of Mexico, Cameroon, Brazil, Burkina Faso, Pakistan, Egypt and Bangladesh among other nations (Kamdor, 2007). Solution to problem of food shortage [85] There are some solutions to the problem of food shortage. There is need to reduce production of carbon emissions and pollution to reduce the resultant climatic change through concerted and individual efforts. There is need to invest in clean energy such as solar, nuclear, [90] and geothermal power in homes and industries, because they dont have adverse effects on the environment (Kamdor, 2007). Rich nations should help poor nations to develop and use clean and renewable energy in order to stabilize green house emissions into the atmosphere [95] (Watson, nd). Government need to work in consultation with climatic bodies, World Bank and the UN to engage in projects aimed at promoting green environment. Conclusion Causes of food shortage are well known and [100] can be solved if appropriate measures to solve the problem are taken and effectively implemented. Environmental causes of food shortages are changes in climatic and pollution due to human activities such overgrazing4 and deforestation which can be controlled [105] through legislation. (Adapted from http://www.paypervids.com/food-shortage-causes- effects-solutions/Acesso em:14 fev 2017) *os nmeros entre colchetes indicam os nmeros das linhas do texto original. Glossary: 1. unrest disagreement or fighting between different groups of people 2. soaring something that increases rapidly above the usual level 3. yield to supply or produce something such as profit or an amount or food 4. overgrazing excessive use of land where animals feed on grass Thetext

(AFA - 2018) TEXTO PARA A PRXIMA QUESTO. FOOD SHORTAGE CAUSES, EFFECTS AND SOLUTIONS Food shortage is a serious problem facing the world and is prevalent in sub-Saharan Africa. The scarcity of food is caused by economic, environmental and social factors such as crop failure, overpopulation [5] and poor government policies are the main cause of food scarcity in most countries. Environmental factors determine the kind of crops to be produced in a given place, economic factors determine the buying and production capacity and socio-political factors determine [10] distribution of food to the masses. Food shortage has far reaching long and short term negative impacts which include starvation, malnutrition, increased mortality and political unrest1. There is need to collectively address the issue of food insecurity using both emergency and long [15] term measures. Causes of food shortages There are a number of social factors causing food shortages. The rate of population increase is higher than increase in food production. The world is consuming [20] more than it is producing, leading to decline in food stock and storage level and increased food prices due to soaring2 demand. Increased population has led to clearing of agricultural land for human settlement reducing agricultural production (Kamdor, 2007). [25] Overcrowding of population in a given place results in urbanization of previously rich agricultural fields. Destruction of forests for human settlement, particularly tropical rain forest has led to climatic changes, such as prolonged droughts and desertification. Population [30] increase means more pollution as people use more fuel in cars, industry, domestic cooking. The resultant effect is increased air and water pollution which affect the climate and food production. Environmental factors have greatly contributed [35]to food shortage. Climatic change has reduced agricultural production. The change in climate is majorly caused by human activities and to some small extent natural activities. Increased combustion of fossil fuels due to increasing population through power plant, motor [40] transport and mining of coal and oil emits green house gases which have continued to affect world climate. Deforestation of tropical forest due to human pressure has changed climatic patterns and rainfall seasons, and led to desertification which cannot support a crop [45] production. Land degradation due to increased human activities has impacted negatively on agricultural production (Kamdor, 2007). Natural disasters such as floods, tropical storms and prolonged droughts are on the increase and have devastating impacts on food security [50] particularly in developing countries. There are several economic factors that contribute to food shortage. Economic factors affect the ability of farmers to engage in agricultural production. Poverty situation in developing nations have reduced their capacity to produce food, as [55] most farmers cannot afford seed and fertilizers. They use poor farming methods that cannot yield3 enough, even substantial use. Investments in agricultural research and developing are very low in developing nations. Recent global financial crisis have led to increase in food prices [60] and reduced investments in agriculture by individuals and governments in developed nations resulting in reduced food production. Effects of food shortage There are a number of short term effects of food shortage. [65] The impact on children, mothers and elderly are very evident as seen in malnutrition and hunger related deaths. Children succumb to hunger within short period as they cannot stand long period of starvation and they die even before the arrival of emergency [70] assistance. There are also long term effects of food shortage. These include increase in the price of food as a result demand and supply forces. Increasing cost of food production due to the increase in fuel prices coupled [75]with persistent drought in grain producing regions has contributed to the increase in the price of food in the world. Increase in oil price led to increase in the price of fertilizers, transportation of food and also industrial agriculture. Increasing food prices culminated in political [80] instability and social unrest in several nations across the globe in 2007, in countries of Mexico, Cameroon, Brazil, Burkina Faso, Pakistan, Egypt and Bangladesh among other nations (Kamdor, 2007). Solution to problem of food shortage [85] There are some solutions to the problem of food shortage. There is need to reduce production of carbon emissions and pollution to reduce the resultant climatic change through concerted and individual efforts. There is need to invest in clean energy such as solar, nuclear, [90] and geothermal power in homes and industries, because they dont have adverse effects on the environment (Kamdor, 2007). Rich nations should help poor nations to develop and use clean and renewable energy in order to stabilize green house emissions into the atmosphere [95] (Watson, nd). Government need to work in consultation with climatic bodies, World Bank and the UN to engage in projects aimed at promoting green environment. Conclusion Causes of food shortage are well known and [100] can be solved if appropriate measures to solve the problem are taken and effectively implemented. Environmental causes of food shortages are changes in climatic and pollution due to human activities such overgrazing4 and deforestation which can be controlled [105] through legislation. (Adapted from http://www.paypervids.com/food-shortage-causes- effects-solutions/Acesso em:14 fev 2017) *os nmeros entre colchetes indicam os nmeros das linhas do texto original. Glossary: 1. unrest disagreement or fighting between different groups of people 2. soaring something that increases rapidly above the usual level 3. yield to supply or produce something such as profit or an amount or food 4. overgrazing excessive use of land where animals feed on grass MarktheINCORRECToptionaccordingtothetext.

(AFA - 2018) TEXTO PARA A PRXIMA QUESTO. FOOD SHORTAGE CAUSES, EFFECTS AND SOLUTIONS Food shortage is a serious problem facing the world and is prevalent in sub-Saharan Africa. The scarcity of food is caused by economic, environmental and social factors such as crop failure, overpopulation [5] and poor government policies are the main cause of food scarcity in most countries. Environmental factors determine the kind of crops to be produced in a given place, economic factors determine the buying and production capacity and socio-political factors determine [10] distribution of food to the masses. Food shortage has far reaching long and short term negative impacts which include starvation, malnutrition, increased mortality and political unrest1. There is need to collectively address the issue of food insecurity using both emergency and long [15] term measures. Causes of food shortages There are a number of social factors causing food shortages. The rate of population increase is higher than increase in food production. The world is consuming [20] more than it is producing, leading to decline in food stock and storage level and increased food prices due to soaring2 demand. Increased population has led to clearing of agricultural land for human settlement reducing agricultural production (Kamdor, 2007). [25] Overcrowding of population in a given place results in urbanization of previously rich agricultural fields. Destruction of forests for human settlement, particularly tropical rain forest has led to climatic changes, such as prolonged droughts and desertification. Population [30] increase means more pollution as people use more fuel in cars, industry, domestic cooking. The resultant effect is increased air and water pollution which affect the climate and food production. Environmental factors have greatly contributed [35]to food shortage. Climatic change has reduced agricultural production. The change in climate is majorly caused by human activities and to some small extent natural activities. Increased combustion of fossil fuels due to increasing population through power plant, motor [40] transport and mining of coal and oil emits green house gases which have continued to affect world climate. Deforestation of tropical forest due to human pressure has changed climatic patterns and rainfall seasons, and led to desertification which cannot support a crop [45] production. Land degradation due to increased human activities has impacted negatively on agricultural production (Kamdor, 2007). Natural disasters such as floods, tropical storms and prolonged droughts are on the increase and have devastating impacts on food security [50] particularly in developing countries. There are several economic factors that contribute to food shortage. Economic factors affect the ability of farmers to engage in agricultural production. Poverty situation in developing nations have reduced their capacity to produce food, as [55] most farmers cannot afford seed and fertilizers. They use poor farming methods that cannot yield3 enough, even substantial use. Investments in agricultural research and developing are very low in developing nations. Recent global financial crisis have led to increase in food prices [60] and reduced investments in agriculture by individuals and governments in developed nations resulting in reduced food production. Effects of food shortage There are a number of short term effects of food shortage. [65] The impact on children, mothers and elderly are very evident as seen in malnutrition and hunger related deaths. Children succumb to hunger within short period as they cannot stand long period of starvation and they die even before the arrival of emergency [70] assistance. There are also long term effects of food shortage. These include increase in the price of food as a result demand and supply forces. Increasing cost of food production due to the increase in fuel prices coupled [75]with persistent drought in grain producing regions has contributed to the increase in the price of food in the world. Increase in oil price led to increase in the price of fertilizers, transportation of food and also industrial agriculture. Increasing food prices culminated in political [80] instability and social unrest in several nations across the globe in 2007, in countries of Mexico, Cameroon, Brazil, Burkina Faso, Pakistan, Egypt and Bangladesh among other nations (Kamdor, 2007). Solution to problem of food shortage [85] There are some solutions to the problem of food shortage. There is need to reduce production of carbon emissions and pollution to reduce the resultant climatic change through concerted and individual efforts. There is need to invest in clean energy such as solar, nuclear, [90] and geothermal power in homes and industries, because they dont have adverse effects on the environment (Kamdor, 2007). Rich nations should help poor nations to develop and use clean and renewable energy in order to stabilize green house emissions into the atmosphere [95] (Watson, nd). Government need to work in consultation with climatic bodies, World Bank and the UN to engage in projects aimed at promoting green environment. Conclusion Causes of food shortage are well known and [100] can be solved if appropriate measures to solve the problem are taken and effectively implemented. Environmental causes of food shortages are changes in climatic and pollution due to human activities such overgrazing4 and deforestation which can be controlled [105] through legislation. (Adapted from http://www.paypervids.com/food-shortage-causes- effects-solutions/Acesso em:14 fev 2017) *os nmeros entre colchetes indicam os nmeros das linhas do texto original. Glossary: 1. unrest disagreement or fighting between different groups of people 2. soaring something that increases rapidly above the usual level 3. yield to supply or produce something such as profit or an amount or food 4. overgrazing excessive use of land where animals feed on grass The first paragraph states that crop failure, overpopulation and poor government policies are the main cause of food scarcity in most countries. Such problems may represent respectively