Questões - ITA 2017 | Gabarito e resoluções

(ITA - 2017 - 2 FASE) Considere o polinmio a) Determine os nmeros reais a e b tais que b) Determine as razes de p(x).

(ITA - 2017 - 1 FASE) Sejam a, b, c, dSuponha que a, b, c, d formem, nesta ordem, uma progresso geomtrica e que a,b/2,c/4,d-140 formem, nesta ordem, uma progresso aritmtica. Ento, o valor de d - b

(ITA - 2017- 2 Fase) A reao do benzeno com cloreto de metila, catalisada por cloreto de alumnio, forma um produto orgnico X a) Escreva, utilizando frmulas estruturais, a equao qumica que representa a sntese de TNT(trinitrotolueno) a partir do produto Xincluindo as condies experimentais de sntese. b) Escreva o nome sistemtico, segundo a IUPAC, do ismero mais estvel doTNT c) Sabendo que a sensibilidade frico e ao impacto do TNTest relacionada presena de diferentes distncias intermoleculares no slido, em que condies a sensibilidade do TNT minimizada?

(ITA - 2017 - 1 FASE) Na figura, o vago move-se a partir do repouso sob a ao de uma acelerao a constante. Em decorrncia, desliza para trs o pequeno bloco apoiado em seu piso de coeficiente de atrito . No instante em que o bloco percorrer a distncia L, a velocidade do bloco, em relao a um referencial externo, ser igual a

(ITA - 2017 - 2 FASE) De uma plancie horizontal, duas partculas so lanadas de posies opostas perfazendo trajetrias num mesmo plano vertical e se chocando elasticamente no ponto de sua altitude mxima a mesma para ambas. A primeira partcula lanada a 30e aterriza a 90, tambm em relao ao solo, a uma distncia L de seu lanamento. A segunda lanada a 60o em relao ao solo. Desprezando a resistncia do ar, determine: a) a relao entre as massas das partculas, b) a distncia entre os pontos de lanamento e c) a distncia horizontal percorrida pela segunda partcula.

(ITA - 2017 - 1 FASE) A questo refere-se ao texto a seguir: FRAYING AT THE EDGES: A LIFE-CHANGING DIAGNOSIS IT BEGAN WITHwhat she saw in the bathroom mirror. On a dull morning, Geri Taylor padded into the shiny bathroom of her Manhattan apartment. She casually1checked her reflection in the mirror, doing her daily inventory. Immediately, she stiffened with fright. Huh? What? She didnt recognize herself. She gazed saucer-eyed at her image, thinking: Oh, is this what I look like? No, thats not me. Whos that in my mirror? This was in late 2012. She was 69, in her early months getting familiar with retirement. For some time she had experienced the sensation of clouds coming over her, mantling thought. There had been a few hiccups at her job. She had been a nurse who climbed the rungs to health care executive. Once, she was leading a staff meeting6when she had no idea what she was talking about, her mind like a stalled engine that wouldnt turn over. Fortunately2I was the boss and I just said, Enough of that; Sally, tell me what youre up to,she would say of the episode. Certain mundane tasks stumped her. She told her husband, Jim Taylor, that the blind in the bedroom was broken. He showed her she was pulling the wrong cord. Kept happening. Finally3, nothing else working, he scribbled on the adjacent wall which cord was which. Then there was the day she got off the subway at 14th Street and Seventh Avenue unable to figure out why she was there. So, yes, she had had inklings7that something was going wrong with her mind. She held tight to thesethoughts. She even hid her suspicions from Mr. Taylor, who chalked up her thinning8memory to the infirmities of age. I thought she was getting like me,he said. Ihad been forgetful for 10 years. But to not recognize her own face! To Ms. Taylor, this was the drop-dead momentwhen she had to accept a terrible truth. She wasnt just seeing the twitches of aging but the early4fumes of the disease. She had no further issues with mirrors, but there was no ignoring9that something important had happened. She confided her fears to her husband and made an appointment with a neurologist. Before then I thought I could fake it,she would explain. This convinced me I had to come clean. In November 2012, she saw the neurologist who was treating her migraines. He listened to hersymptoms, took blood, gave her the Mini Mental State Examination, a standard cognitive test made up of aset of unremarkable questions and commands. (For instance, she was asked to count backward from 100 in intervals of seven; she had to say the phrase: No ifs, ands or buts; she was told to pick up a piece of paper, fold it in half and place it on the floor beside her.) He told her three common words, said he was going to ask her them in a little bit. He emphasized this by pointing10a finger at his head remember those words. That simple. Yet when he called for them, she knew only one: Beach. In her mind, she would go on to associate it with the doctor, thinking of him as Dr.Beach. He gave a diagnosis of mild cognitive impairment, a common precursor to Alzheimers disease. Thefirst label put on what she had. Even then, she understood it was the footfall of what would come. Alzheimers had struck her father, a paternal aunt and a cousin. She long suspected it would eventually5find her. Fonte: http://www.nytimes.com/interactive/2016/05/01/nyregion/living-with-alzheimers.html?action=clickcontentCollection=Americasmodule=Trendingversion=Fullregion= Marginaliapgtype=article. (acesso em 1/05/2016). De acordo com o texto,

(ITA - 2017 - 1 FASE) Carregada com um potencial de 100 V, flutua no ar uma bolha de sabo condutora de eletricidade, de 10 cm de raio e 3,3106 cm de espessura. Sendo a capacitncia de uma esfera condutora no ar proporcional ao seu raio, assinale o potencial eltrico da gota esfrica formada aps a bolha estourar.

(ITA - 2017 - 2 FASE) Sejam e dois conjuntos com 3 e 5 elementos, respectivamente. Quantas funes sobrejetivasexistem?

(ITA - 2017 - 1 FASE) A reao qumica genrica XY tem lei de velocidade de primeira ordem em relao ao reagente X. medida que a reao ocorre a uma temperatura constante, ERRADO afirmar que

(ITA - 2017 - 2 FASE) Duas cordas de mesmo comprimento, de densidades lineares e tendo a primeira o dobro da massa da outra, so interconectadas formando uma corda nica afixada em anteparos interdistantes de l. Dois pulsos propagam-se ao mesmo tempo em sentidos opostos nessa corda. Determine o instante e a posio em que os pulsos se encontram sabendo que a corda est submetida a uma tenso T.

(ITA - 2017- 2 Fase) Aps inalar ar na superfcie, uma pessoa mergulha at uma profundidade de 200 m, em apneia, sem exalar. Desconsiderando as trocas gasosas que ocorrem nos alvolos pulmonares, calcule a presso parcial do nitrognio e do oxignio do ar contido no pulmo do mergulhador.

(ITA - 2017 - 1 FASE) A questo refere-se ao texto a seguir: FRAYING AT THE EDGES: A LIFE-CHANGING DIAGNOSIS IT BEGAN WITHwhat she saw in the bathroom mirror. On a dull morning, Geri Taylor padded into the shiny bathroom of her Manhattan apartment. She casually1checked her reflection in the mirror, doing her daily inventory. Immediately, she stiffened with fright. Huh? What? She didnt recognize herself. She gazed saucer-eyed at her image, thinking: Oh, is this what I look like? No, thats not me. Whos that in my mirror? This was in late 2012. She was 69, in her early months getting familiar with retirement. For some time she had experienced the sensation of clouds coming over her, mantling thought. There had been a few hiccups at her job. She had been a nurse who climbed the rungs to health care executive. Once, she was leading a staff meeting6when she had no idea what she was talking about, her mind like a stalled engine that wouldnt turn over. Fortunately2I was the boss and I just said, Enough of that; Sally, tell me what youre up to,she would say of the episode. Certain mundane tasks stumped her. She told her husband, Jim Taylor, that the blind in the bedroom was broken. He showed her she was pulling the wrong cord. Kept happening. Finally3, nothing else working, he scribbled on the adjacent wall which cord was which. Then there was the day she got off the subway at 14th Street and Seventh Avenue unable to figure out why she was there. So, yes, she had had inklings7that something was going wrong with her mind. She held tight to thesethoughts. She even hid her suspicions from Mr. Taylor, who chalked up her thinning8memory to the infirmities of age. I thought she was getting like me,he said. Ihad been forgetful for 10 years. But to not recognize her own face! To Ms. Taylor, this was the drop-dead momentwhen she had to accept a terrible truth. She wasnt just seeing the twitches of aging but the early4fumes of the disease. She had no further issues with mirrors, but there was no ignoring9that something important had happened. She confided her fears to her husband and made an appointment with a neurologist. Before then I thought I could fake it,she would explain. This convinced me I had to come clean. In November 2012, she saw the neurologist who was treating her migraines. He listened to hersymptoms, took blood, gave her the Mini Mental State Examination, a standard cognitive test made up of aset of unremarkable questions and commands. (For instance, she was asked to count backward from 100 in intervals of seven; she had to say the phrase: No ifs, ands or buts; she was told to pick up a piece of paper, fold it in half and place it on the floor beside her.) He told her three common words, said he was going to ask her them in a little bit. He emphasized this by pointing10a finger at his head remember those words. That simple. Yet when he called for them, she knew only one: Beach. In her mind, she would go on to associate it with the doctor, thinking of him as Dr.Beach. He gave a diagnosis of mild cognitive impairment, a common precursor to Alzheimers disease. Thefirst label put on what she had. Even then, she understood it was the footfall of what would come. Alzheimers had struck her father, a paternal aunt and a cousin. She long suspected it would eventually5find her. Fonte: http://www.nytimes.com/interactive/2016/05/01/nyregion/living-with-alzheimers.html?action=clickcontentCollection=Americasmodule=Trendingversion=Fullregion= Marginaliapgtype=article. (acesso em 1/05/2016). Marque a opo correta quanto aos procedimentos solicitados pelo neurologista a Geri Taylor.

(ITA - 2017 - 1 FASE) O maior valor de tg x, com,

(ITA - 2017- 2 Fase) Com base no fato de que o esmalte dentrio sujeito desmineralizao, explique a) como se forma o cido ltico na saliva humana. b) como o cido ltico provoca a desmineralizao. c) como a ureia contida na saliva ajuda a proteger contra a desmineralizao do esmalte dentrio causada pelo cido ltico.

(ITA - 2017 - 1 FASE) Barreiras trmicas de base cermica so empregadas em projetos aeroespaciais. Considere os materiais a seguir: 1. BN 2.Fe2O3 3.NaN3 4. Na2SiO3 5.SiC Assinale a opo que apresenta o(s) material(is) geralmente empregado(s) como componente(s) principal(is) de barreiras trmicas em projetos aeroespaciais.