Magna Concursos

Foram encontradas 400 questões.

317782 Ano: 2010
Disciplina: Matemática
Banca: ANPEC
Orgão: ANPEC
Provas:
Seja !$ X \, \subset \, \mathbf{R}^2 !$ o conjunto limitado pelas retas !$ r_1: \, \chi \, = \, 0 !$, !$ r_2: \, y \, = \, 0 !$, !$ r_3: \, 4\chi \, + \, 3y \, - \, 40 \, = \, 0 !$ e !$ r_4: \, \chi \, + \, 2y \, - \, 20 \, = \, 0 !$. Seja !$ p \, \in \, X !$ o ponto de máximo da função !$ f: \, X \, \rightarrow \, \mathbf{R} !$ dada por !$ f(\chi, \, y) \, = \, 2\chi \, + \, 5y !$.
Julgue o seguinte item:
Item 4 - !$ f(p) \, = \, 50 !$.
 

Provas

Questão presente nas seguintes provas
317781 Ano: 2010
Disciplina: Estatística
Banca: ANPEC
Orgão: ANPEC
Provas:
A variável aleatória discreta X assume apenas os valores 0, 1, 2, 3, 4 e 5. A função densidade de probabilidade de X é dada por
!$ P(X \, = \, 0) \, = \, P(X \, = \, 1) \, = \, P(X \, = \, 2) \, = \, P(X \, = \, 3) \, = \, \alpha \\ \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, P(X \, = \, 4) \, = \, P(X \, = \, 5) \, = \, b \\ \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, P(X \, \ge \, 2) \, = \, 3P(X \, < \, 2) !$
E[ . ] e V[ . ] denotam, respectivamente, esperança e variância. Julgue a seguinte alternativa:
Item 1 - E[X] = 3.
 

Provas

Questão presente nas seguintes provas
317780 Ano: 2010
Disciplina: Estatística
Banca: ANPEC
Orgão: ANPEC
Provas:
Considere o seguinte modelo de regressão:
!$ y_i \, = \, \beta_1 \, + \, \beta_{2xi} \, + \, ui \,\,\,\,\, i \, = \, 1,....,n !$
Suponha que xi é não estocástico e que
!$ E[u_i] \, = \, 0, \, E[u_i^2] \, = \, \sigma^2, \, E(u_i, \, u_j) \, = \, 0 !$ para todo !$ i \, \ne \, j !$
Considere os dois estimadores alternativos de !$ \beta_2 !$:
!$ b_2 \, = \, { \large \sum_{i=1}^n x_i y_i \over \sum_{i=1}^n \, x^2_i} !$ e !$ \hat{\beta_2} \, = \, { \large \sum_{i=1}^n (x_i \, - \, \overline{x})(y_i \, - \, \overline{y}) \over \sum_{i=1}^n (x_1 \, - \, \overline{x})^2} !$
Onde !$ \overline{x} \, = \, n^{-1} \sum_{i=1}^n X_i !$ e !$ \overline{y} \, = \, n^{-1} \sum_{i=1}^n \, y_i !$ são as médias amostrais de x e y respectivamente. É correto afirmar que:
Item 3 - b2 é um estimador não viesado de !$ \beta^2 !$ se, para qualquer amostra de tamanho n, !$ \overline{x} \, = \, 0. !$
 

Provas

Questão presente nas seguintes provas
315444 Ano: 2010
Disciplina: Economia
Banca: ANPEC
Orgão: ANPEC
Provas:
Sobre a economia brasileira na Primeira República (1889-1930) é correto afirmar:
Item 2 - A produção de borracha, depois da expansão verificada a partir das últimas décadas do século XIX, entrou em declínio ainda na Primeira República devido à concorrência das plantações das Índias Orientais, que foram implantadas com sementes originadas do Brasil.
 

Provas

Questão presente nas seguintes provas
315432 Ano: 2010
Disciplina: Inglês (Língua Inglesa)
Banca: ANPEC
Orgão: ANPEC
Provas:
Text 2
Excerpts from:
Small eruption in Iceland
A cloud of ash from an Icelandic volcano shut European airspace for several days. Our first article examines the science of volcanic emissions.
Our second looks at the past week's disruption of travel
Apr 22nd 2010 | From The Economist print edition
SOME natural disasters, like the Indian Ocean tsunami of 2004, strike out of the blue. Only with hindsight do they come to look like the sort of thing people should have been prepared for. Other events get dress rehearsals. The eruption of Eyjafjallajokull in the south of Iceland was one of these. In February 2008 officials from air-traffic-control services across Europe, as well as representatives of weather services and airlines, ran an exercise that simulated a strikingly similar eruption. The volcano they chose was not Eyjafjallajokull, but its neighbour, Katla; the weather conditions were not quite the same. But the procedures were.
(...)
If the exercise two years ago did not capture the range of problems that an Icelandic volcano might cause, it did show that the general situation was entirely foreseeable. A ridge of submerged mountains runs down the middle of the Atlantic Ocean; Iceland is the result of a “hotspot” in which material rises from deep within the Earth, pushing part of this ridge up into the air. Both hotspots and mid-ocean ridges are volcanic, so Iceland is doubly so. It boasts a fearsome array of volcanoes, 33 of which have erupted once or more since the end of the last ice age, around 12,000 years ago.
As these volcanoes go, Eyjafjallajokull is neither very big nor particularly prolific. It has erupted only three times since Iceland was settled in the ninth century. That is why the air-traffic exercise planners chose Katla, 25km (16 miles) away; it typically erupts every 30-80 years, and in a much more spectacular way. But a combination of circumstances meant that, though comparatively small, Eyjafjallajokull's current eruption punched above its weight in the ash-production league in its early days, emitting much more fine ash than is normal. Fine ash can travel farther than the heavier stuff, but still does a lot of harm to engines if encountered in significant quantities.
(...)
Katla is not the worst that Iceland can do. Its volcanoes do not have the explosive oomph of some eruptions in the “ring of fire” around the Pacific, such as those of Tambora and Krakatoa in the 19th century, let alone the prehistoric eruptions of Taupo, in New Zealand, and Toba, in Indonesia, which were large enough to have severe, if short-lived, effects on the global climate (...) But the eruption of Oraefajokull, in the south-east of the island, in 1362 is thought by some to have eclipsed that of Mount Vesuvius which destroyed Pompeii and Herculaneum in 79AD. It may have been the biggest bang in Europe since the eruption in the 17th century BC of Santorini, which devastated the Minoan civilisation on nearby Crete. Nor is explosive power the only measure of a volcano's spitefulness. The eruption of Laki, an Icelandic volcanic fissure, in 1783 sent poisonous gases across Europe.
Another concern is that Iceland's volcanoes, especially those under its central ice cap—which, other things being equal, will produce more explosive plumes if they break through—seem to show a cycle in activity, perhaps due to the hotspot that feeds them.
On this reading of the record, activity can be expected to increase for the next 40 years or so. The past few decades have been one of the quiet patches. It seems likely that the first 50 years of jet travel across the North Atlantic enjoyed particularly clear skies.
The text remarks that Eyjaffallajokull:
Item 3 - had been dormant for about 12,000 years;
 

Provas

Questão presente nas seguintes provas
315393 Ano: 2010
Disciplina: Economia
Banca: ANPEC
Orgão: ANPEC
Provas:
Julgue a alternativa abaixo, a respeito do modelo de crescimento:
Item 4 - Considere um modelo de crescimento com função de produção dada por !$ Y \, = \, B \, . \, K^\alpha \, . \, L^{1-\alpha} !$, em que Y é o produto, K é o estoque de capital, L é o número de trabalhadores (suposto constante), α é a participação do capital no produto, e B representa o nível tecnológico da economia, que é determinado pela seguinte equação: !$ B \, = \, A \, . \, K^{1-\alpha} !$, em que A é uma constante positiva. Nesse modelo, um aumento na taxa de poupança não influencia a taxa de crescimento de longo prazo.
 

Provas

Questão presente nas seguintes provas
315079 Ano: 2010
Disciplina: Economia
Banca: ANPEC
Orgão: ANPEC
Provas:
No que se refere à intervenção pública nos mercados, observa-se que:
Item 4 - Supondo uma demanda inversa dada pela equação !$ P \, = \, 210 \, - \, 2Q, !$ bem como um custo marginal privado (refletido na oferta de mercado) dado por !$ CMg \, = \, 150 \, + \, 2Q, !$ e admitindo que o processo de produção gera resíduos tóxicos cujo custo marginal para a sociedade é dado por !$ CMgS \, = \, 2Q, !$ então, neste caso, a taxa de imposto específico que deve incidir sobre os produtores para atingir um ótimo social equivale a $ 10 por unidade produzida.
 

Provas

Questão presente nas seguintes provas
314532 Ano: 2010
Disciplina: Economia
Banca: ANPEC
Orgão: ANPEC
Provas:
Com relação às decisões dos agentes sob incerteza, é possível afirmar que:
Item 2 - Maria herdou uma propriedade que lhe proporciona colheita de $ 100.000 em condições favoráveis, com probabilidade de 60%. Se as condições climáticas não forem adequadas ela tem prejuízo de $ 20.000 com a atividade. Se Maria é avessa ao risco e uma empresa lhe oferece pagamento anual de $ 70.000 em troca de toda a sua colheita, ela aceitará prontamente a oferta.
 

Provas

Questão presente nas seguintes provas
314515 Ano: 2010
Disciplina: Matemática
Banca: ANPEC
Orgão: ANPEC
Provas:
Considere as transformações lineares !$ T \, : \, \mathbf{R}^3 \, \rightarrow \mathbf{R}^3 !$ e !$ L \, : \, \mathbf{R}^3 \, \rightarrow \, \mathbf{R}^3 !$ definidas por
!$ T \, \begin {pmatrix} \chi \\ y \\ z \end {pmatrix} \, = \, \begin {pmatrix} 2\chi \, - \, 2y \, + \, 3z \\ 3y \, - \, 2z \\ -y \, + \, 2z \end {pmatrix} e L \, \begin {pmatrix} \chi \\ y \\ z \end {pmatrix} \, = \, \begin {bmatrix} 1 \,\, 0 \,\, 1 \\ 1 \,\, 1 \,\, 2 \\ 2 \,\, 1 \,\, 3 \end {bmatrix} \, \begin {pmatrix} \chi \\ y \\ z \end {pmatrix}. !$
Seja A a matriz de T relativa à base canônica de !$ \mathbf{R}^3 !$. Julgue a alternativa:
Item 2 - !$ A \, = \, \begin {bmatrix} 2 \,\, -2 \,\, 3 \\ 0 \,\, 3 \,\, -2 \\ 0 \,\, -1 \,\, 2 \end {bmatrix} !$.
 

Provas

Questão presente nas seguintes provas
314110 Ano: 2010
Disciplina: Inglês (Língua Inglesa)
Banca: ANPEC
Orgão: ANPEC
Provas:

Text 2

Excerpts from:

Small eruption in Iceland

A cloud of ash from an Icelandic volcano shut European airspace for several days. Our first article examines the science of volcanic emissions.

Our second looks at the past week's disruption of travel

Apr 22nd 2010 | From The Economist print edition

SOME natural disasters, like the Indian Ocean tsunami of 2004, strike out of the blue. Only with hindsight do they come to look like the sort of thing people should have been prepared for. Other events get dress rehearsals. The eruption of Eyjafjallajokull in the south of Iceland was one of these. In February 2008 officials from air-traffic-control services across Europe, as well as representatives of weather services and airlines, ran an exercise that simulated a strikingly similar eruption. The volcano they chose was not Eyjafjallajokull, but its neighbour, Katla; the weather conditions were not quite the same. But the procedures were.

(...)

If the exercise two years ago did not capture the range of problems that an Icelandic volcano might cause, it did show that the general situation was entirely foreseeable. A ridge of submerged mountains runs down the middle of the Atlantic Ocean; Iceland is the result of a “hotspot” in which material rises from deep within the Earth, pushing part of this ridge up into the air. Both hotspots and mid-ocean ridges are volcanic, so Iceland is doubly so. It boasts a fearsome array of volcanoes, 33 of which have erupted once or more since the end of the last ice age, around 12,000 years ago.

As these volcanoes go, Eyjafjallajokull is neither very big nor particularly prolific. It has erupted only three times since Iceland was settled in the ninth century. That is why the air-traffic exercise planners chose Katla, 25km (16 miles) away; it typically erupts every 30-80 years, and in a much more spectacular way. But a combination of circumstances meant that, though comparatively small, Eyjafjallajokull's current eruption punched above its weight in the ash-production league in its early days, emitting much more fine ash than is normal. Fine ash can travel farther than the heavier stuff, but still does a lot of harm to engines if encountered in significant quantities.

(...)

Katla is not the worst that Iceland can do. Its volcanoes do not have the explosive oomph of some eruptions in the “ring of fire” around the Pacific, such as those of Tambora and Krakatoa in the 19th century, let alone the prehistoric eruptions of Taupo, in New Zealand, and Toba, in Indonesia, which were large enough to have severe, if short-lived, effects on the global climate (...) But the eruption of Oraefajokull, in the south-east of the island, in 1362 is thought by some to have eclipsed that of Mount Vesuvius which destroyed Pompeii and Herculaneum in 79AD. It may have been the biggest bang in Europe since the eruption in the 17th century BC of Santorini, which devastated the Minoan civilisation on nearby Crete. Nor is explosive power the only measure of a volcano's spitefulness. The eruption of Laki, an Icelandic volcanic fissure, in 1783 sent poisonous gases across Europe.

Another concern is that Iceland's volcanoes, especially those under its central ice cap—which, other things being equal, will produce more explosive plumes if they break through—seem to show a cycle in activity, perhaps due to the hotspot that feeds them.

On this reading of the record, activity can be expected to increase for the next 40 years or so. The past few decades have been one of the quiet patches. It seems likely that the first 50 years of jet travel across the North Atlantic enjoyed particularly clear skies.

We can infer from the text that Iceland:

Item 0 - does not possess any volcanoes;

 

Provas

Questão presente nas seguintes provas