Questões Resolvidas:

Questão-01 - (UERJ/2017)
[br][br]Observe o[br]plano cartesiano a seguir, no qual estão representados os gráficos das funções[br]definidas por [img width=53,height=20]data:image/wmf;base64,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[/img], g(x) = 8 e h(x) = k, sendo x[img width=12,height=12]data:image/wmf;base64,R0lGODlhDwAPAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABQAJAAcAgwAAAAAAAB0AAAAcSB1IWzMzWzVIW2xGHW5GM39/XX9uSGaIiAECAwECAwECAwECAwQSEEgR6pA4y6IxrdbWYcQ4gVcEADs=[/img]IR e k uma constante real.[br][br] [br][br][img width=222,height=198]data:image/png;base64,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[/img][br][br] [br][br]No retângulo[br]ABCD, destacado no plano, os vértices A e C são as interseções dos gráficos [img width=31,height=15]data:image/wmf;base64,R0lGODlhJwATAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABQAhAAsAhQAAAAAAAB0AAB0dAAAAHR0AHQAdMgAcSB4zRx0zWgAzWh1GbDMAADMeRzVbbjNbgEgcAEceM1ozAFozHUczHkhbSEhbbkhuf1luf11/f2xGHW5bNX9/XX9uSH9uWWaIiIBbM4iIZgECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwZkQIBQEggIj8ikkvFQAiTHg3N6ZBidTKr2KGgqBdtB0TAFK4sBwsWJSCaSHYEDcOVSF048UkAQ9rleSQ1bgEIFa0JmhEcaSYqKcYFIkkl6AJGXXXaLRyCOm3RFTpRIllZ9AmkAQQA7[/img] e [img width=29,height=17]data:image/wmf;base64,R0lGODlhJAAVAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABAAeAA4AhQAAAAAAAAAAHR0AABwcHB0AHQAAMwAcSB0dSAAzWh0zWh1GbDMAADQdHTMeRzVIWzNGbjNbgEgcAEgdHVozAFozHUZGbkhuf11/f2xGHW5bNW5GM39/XX9uSH9uWWaIiIBbM4iIZgECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwZjQICQEhAIj8ikcrkASJbQqJAhrUIZEasWAAp4DcvKoKhYjr2HI3bZSBKSVGECGU9Olghk4ZhWZ5EdUX9OR3NqW2YBYHSDQhtREEcOiQGGiE5eXpdRFkeBm0oUlgCNoFOZTQBBADs=[/img], respectivamente.[br][br]Determine a área desse retângulo.[br][br]
Questão-02 - (UEL PR/2012)
[br][br]A espessura da camada de creme formada sobre um café[br]expresso na xícara, servido na cafeteria A, no decorrer do tempo, é descrita pela função [i]E[/i]([i]t[/i]) = [i]a[/i]2[sup]bt[/sup], onde [i]t[/i] [math]\ge[/math]0 é o tempo (em segundos) e [i]a[/i] e [i]b[/i] são números reais. Sabendo que inicialmente a espessura do creme é de 6 milímetros e que, depois de 5 segundos, se reduziu em 50%, qual a espessura depois de 10 segundos?[br][br]Apresente os cálculos realizados na resolução da questão.
Questão-03 - (UFU MG/2018/Julho)
[br][br]O setor de controle de qualidade de um frigorífico avalia o[br]funcionamento de algumas de suas câmaras de refrigeração. Um boi foi abatido e[br]parte de seu corpo foi colocado em uma câmara, mantida a uma temperatura[br]constante de –10º C, para resfriamento. Nela, instalou-se um termômetro para[br]aferir a oscilação na temperatura desse corpo.[br][br]Considere que a temperatura do corpo, em graus Celsius, varie com o[br]tempo t, em minutos, de acordo com a função [img width=95,height=20]data:image/wmf;base64,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[/img], em que a e b são constantes reais e t, o tempo decorrido após o corpo ser colocado na câmara de refrigeração. Assim, após 80 minutos,[br]foi observado que a temperatura do corpo era de 0ºC e que, após 2 horas e 40[br]minutos, essa temperatura passou para –8ºC.[br][br]Levando-se em consideração essas informações, elabore e execute um plano de resolução de[br]maneira a determinar[br][br][br]a)     os valores das constantes reais a e b.[br][br]b)     o instante de tempo t, em horas, a partir do qual [img width=72,height=17]data:image/wmf;base64,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[/img].
Questão-04 - (UFG GO/2011/2ª Fase)
[br][br]Quando um[br]antibiótico é ingerido, é absorvido pelo organismo e eliminado gradativamente.[br]Denotando por q[sub]0 [/sub]a quantidade do antibiótico no organismo do paciente num instante t[sub]0[/sub], a função[br]que descreve a quantidade, em um instante posterior t, com t – t[sub]0[/sub] em horas, enquanto não houver nova ingestão do antibiótico, é q(t) = 2[sup]–(t–t0)/2[/sup] q[sub]0[/sub] [br][br]Havendo ingestão de antibiótico, soma-se a quantidade ingerida à quantidade já presente[br]no organismo e, a partir daí, a quantidade decresce com o tempo segundo a função acima.[br][br]Considere o tratamento de uma infecção com cápsulas de 500 mg desse antibiótico, ingeridas[br]em intervalos regulares, sendo uma cápsula a cada x horas.[br][br]Para conveniência do paciente, x deve ser um número par de horas e, para que o tratamento seja eficaz, a[br]quantidade de antibiótico no organismo do paciente deve ficar acima de 60 mg durante todo o tratamento. Nestas condições,[br][br]a)     que quantidade do antibiótico da primeira cápsula, em mg, restará no organismo duas horas após[br]sua ingestão?[br][br]b)     Qual é o maior número par x (intervalo entre as cápsulas) para que o tratamento seja eficaz?[br][br]
Questão 5
[br][br]Uma indústria consegue produzir em t dias de trabalho [img width=66,height=19]data:image/png;base64,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[/img] produtos no período da[br]manhã. No período da tarde, para o mesmo número de horas, em t dias a produção[br]é  [img width=117,height=18]data:image/png;base64,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[/img] produtos. Em quantos dias a produção matutina será a mesma que a vespertina?[br][br][br][br]a) 3 dias[br][br][br]b) 4 dias[br][br][br]c) 5 dias[br][br][br]d) 6 dias[br][br][br]e) 7 dias[br][br][br][br]
Questão 6
[br]Pesquisadores descobriram que o crescimento da população de bactérias que produzem substâncias antimicrobianas obedece a função [img width=111,height=31]data:image/png;base64,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[/img], onde t representa o tempo de horas e P a população total. Para obter uma população de 810 bactérias, serão necessárias:[br][br]a) 2 h[br][br]b) 3 h[br][br]c) 4 h[br][br]d) 27 h[br][br]e) 64 h[br][br]
Questão 7
[br][br]Com relação a equação [img width=125,height=18]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJwAAAAXCAMAAADJEdZkAAAAAXNSR0IArs4c6QAAAJ9QTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OgBmOjoAOjpmOjqQOmaQOma2OpDbZgAAZgA6ZjoAZjo6ZjpmZmZmZma2ZpDbZrbbZrb/kDoAkDo6kGY6kJC2kLaQkLbbkNv/tmYAtpA6tpC2trZmttuQttu2ttv/tv//25A625Bm27Zm27aQ2//b2////7Zm/9uQ/9u2//+2///bYi5UgQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAB9UlEQVRIS+2V2VbCMBCGExGIG1KLa0UhblCodMn7P5uTpE2zTHE5Hr1pLnqa7e+Xf2ZSQvrWO/B/DuRsTHI2/THAZklg/+9qZDGlwxUh4rk4fr3e3nXBie0JLAQAq2Uz1S8YhXaw/FSj3prCUt2E+rrsoRrpwYIIPljLlcnYJROJhcphYZkYWVhZxlTtA2GzLtBAzlowo8LpLSkjqYJpVJGMY/2MvZi6cJI8pS1uMVmlAVzla4RwVXTVwhlRC85o6DGRjHabt8uX0fuDLebAqQltsWk+HKIRwvFpbvsPiSpPbOAsDe2ZhOPDdRW7OeXDlfMJJOceOEQjgMvPdh6cOrGBszX4APL4iY52SHK4cFVE6cRdZpw7ZX6taKNloahmvKoulsSF01gFQzTEHMrlMfJKAdUlJGNoWMU9pLVTK8hJ9ZBIIFIAl1olpDK9W6PAr7cw53KqlJpWO6e6HRoeZt5Y2cA55Y1qtBePoxXCebttuCp0Hwur/IAdVj62MgXTwMZ0DNqLQ8VDF1bgHJdTX3NO7bXgUpnsOezv0sjYOVYOPhzkdAlVLW/FJkNrx7mactPRC6fTVduUSnEEb0KC4RpQJosOJSes5Rx+UuoUNZyQA/TwBn4VM3jxbpk9cJB3QKdU6nIGuG9q7Dt7P9c70Dvw1w58AO/bOX/QALQrAAAAAElFTkSuQmCC[/img], é correto afirmar que:[br][br]a) não tem raiz real.[br][br]b) tem uma única raiz real.[br][br]c) tem duas raízes reais.[br][br]d) tem infinitas raízes reais.[br][br]e) tem apenas raízes irracionais.[br][br]
Cerrar

Información: Questões Resolvidas: