From 042b0852f40c49f3c8988ad526bde35165dfc5b9 Mon Sep 17 00:00:00 2001 From: Valter Lucena Date: Thu, 3 Oct 2019 18:33:25 -0300 Subject: [PATCH 1/5] adiciona novo autor --- src/lib/autores/autores.json | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/src/lib/autores/autores.json b/src/lib/autores/autores.json index 9390cc7..44cb1f5 100644 --- a/src/lib/autores/autores.json +++ b/src/lib/autores/autores.json @@ -9,5 +9,11 @@ "nome": "Matheus Alves dos Santos", "email": "matheus.santos@ccc.ufcg.edu.br", "github": "alvesmatheus" + }, + + "3": { + "nome": "Valter Vinícius Marinho de Lucena", + "email": "valter.lucena@ccc.ufcg.edu.br", + "github": "valterlucena" } } \ No newline at end of file From 533ffaf6d9f5c507d2b106299c8f0eabe7d09afe Mon Sep 17 00:00:00 2001 From: Valter Lucena Date: Thu, 3 Oct 2019 21:27:44 -0300 Subject: [PATCH 2/5] adiciona questao 5 da prova de 2018 --- src/lib/provas/2018/5.json | 18 ++++++++++++++++++ 1 file changed, 18 insertions(+) create mode 100644 src/lib/provas/2018/5.json diff --git a/src/lib/provas/2018/5.json b/src/lib/provas/2018/5.json new file mode 100644 index 0000000..33773c5 --- /dev/null +++ b/src/lib/provas/2018/5.json @@ -0,0 +1,18 @@ +{ + "ano": "2018", + "questao": "5", + "area": "Matemática", + "enunciado": "Calcule o limite de $\lim_{x \to \infty }(\sqrt{x^4+x^2} + \sqrt{x^2+5x} - x² - x)$:", + "img_url": [], + "alternativas": { + "A": "1", + "B": "5", + "C": "∞", + "D": "0", + "E": "3" + }, + "resposta": "E", + "autor": [3], + "temas": ["Limites"], + "justificativa": "$\lim_{x \to \infty }(\sqrt{x^4+x^2} + \sqrt{x^2+5x} - x^2 - x) \newline= \lim_{x \to \infty }(\sqrt{x^4+x^2} - x^2) + \lim_{x \to \infty }(\sqrt{x^2+5x} - x) \newline=\lim_{x \to \infty }[(\sqrt{x^4+x^2} - x^2)\frac{(\sqrt{x^4+x^2} + x^2)}{(\sqrt{x^4+x^2} + x^2)}] + \lim_{x \to \infty }[(\sqrt{x^2+5x} - x)\frac{(\sqrt{x^2+5x} + x)}{(\sqrt{x^2+5x} + x)}] \newline= \lim_{x \to \infty }(\frac{x^2}{\sqrt{x^4+x^2} + x^2}) + \lim_{x \to \infty }(\frac{5x}{\sqrt{x^2+5x} + x}) = \lim_{x \to \infty }[\frac{x^2}{x^2(\frac{\sqrt{x^4+x^2}}{x^2} + 1)}] + \lim_{x \to \infty }[\frac{5x}{x(\frac{\sqrt{x^2+5x}}{x} + 1)}]\newline= \lim_{x \to \infty }(\frac{1}{\frac{\sqrt{x^4+x^2}}{x^2} + 1}) + \lim_{x \to \infty }(\frac{5}{\frac{\sqrt{x^2+5x}}{x} + 1})\newline=\lim_{x \to \infty }[\frac{1}{\frac{\sqrt{x^4(1+\frac{1}{x^2})}}{x^2} + 1}] + \lim_{x \to \infty }[\frac{5}{\frac{\sqrt{x^2(1+\frac{5}{x})}}{x} + 1}]\newline=\lim_{x \to \infty }[\frac{1}{\frac{x^2\sqrt{1+\frac{1}{x^2}}}{x^2} + 1}] + \lim_{x \to \infty }[\frac{5}{\frac{x\sqrt{1+\frac{5}{x}}}{x} + 1}]\newline=\lim_{x \to \infty }(\frac{1}{\sqrt{1+\frac{1}{x^2}} + 1}) + \lim_{x \to \infty }(\frac{5}{\sqrt{1+\frac{5}{x}} + 1})\newline=\frac{1}{\sqrt{1+0} + 1} + \frac{5}{\sqrt{1+0} + 1}\newline=\frac{1}{\sqrt{1} + 1} + \frac{5}{\sqrt{1} + 1}\newline=\frac{1}{2} + \frac{5}{2} = 3$" +} \ No newline at end of file From 7845c60f4778c5d3e73f936ebe7a124102e5e4d9 Mon Sep 17 00:00:00 2001 From: Valter Lucena Date: Thu, 3 Oct 2019 21:46:31 -0300 Subject: [PATCH 3/5] muda id do autor da justificativa para string --- src/lib/provas/2018/5.json | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/lib/provas/2018/5.json b/src/lib/provas/2018/5.json index 33773c5..c6a2787 100644 --- a/src/lib/provas/2018/5.json +++ b/src/lib/provas/2018/5.json @@ -12,7 +12,7 @@ "E": "3" }, "resposta": "E", - "autor": [3], + "autor": ["3"], "temas": ["Limites"], "justificativa": "$\lim_{x \to \infty }(\sqrt{x^4+x^2} + \sqrt{x^2+5x} - x^2 - x) \newline= \lim_{x \to \infty }(\sqrt{x^4+x^2} - x^2) + \lim_{x \to \infty }(\sqrt{x^2+5x} - x) \newline=\lim_{x \to \infty }[(\sqrt{x^4+x^2} - x^2)\frac{(\sqrt{x^4+x^2} + x^2)}{(\sqrt{x^4+x^2} + x^2)}] + \lim_{x \to \infty }[(\sqrt{x^2+5x} - x)\frac{(\sqrt{x^2+5x} + x)}{(\sqrt{x^2+5x} + x)}] \newline= \lim_{x \to \infty }(\frac{x^2}{\sqrt{x^4+x^2} + x^2}) + \lim_{x \to \infty }(\frac{5x}{\sqrt{x^2+5x} + x}) = \lim_{x \to \infty }[\frac{x^2}{x^2(\frac{\sqrt{x^4+x^2}}{x^2} + 1)}] + \lim_{x \to \infty }[\frac{5x}{x(\frac{\sqrt{x^2+5x}}{x} + 1)}]\newline= \lim_{x \to \infty }(\frac{1}{\frac{\sqrt{x^4+x^2}}{x^2} + 1}) + \lim_{x \to \infty }(\frac{5}{\frac{\sqrt{x^2+5x}}{x} + 1})\newline=\lim_{x \to \infty }[\frac{1}{\frac{\sqrt{x^4(1+\frac{1}{x^2})}}{x^2} + 1}] + \lim_{x \to \infty }[\frac{5}{\frac{\sqrt{x^2(1+\frac{5}{x})}}{x} + 1}]\newline=\lim_{x \to \infty }[\frac{1}{\frac{x^2\sqrt{1+\frac{1}{x^2}}}{x^2} + 1}] + \lim_{x \to \infty }[\frac{5}{\frac{x\sqrt{1+\frac{5}{x}}}{x} + 1}]\newline=\lim_{x \to \infty }(\frac{1}{\sqrt{1+\frac{1}{x^2}} + 1}) + \lim_{x \to \infty }(\frac{5}{\sqrt{1+\frac{5}{x}} + 1})\newline=\frac{1}{\sqrt{1+0} + 1} + \frac{5}{\sqrt{1+0} + 1}\newline=\frac{1}{\sqrt{1} + 1} + \frac{5}{\sqrt{1} + 1}\newline=\frac{1}{2} + \frac{5}{2} = 3$" } \ No newline at end of file From 24aaee36866321a425324ec732e64f0951f3c51a Mon Sep 17 00:00:00 2001 From: "valter.lucena@ccc.ufcg.edu.br" Date: Fri, 25 Oct 2019 08:40:10 -0300 Subject: [PATCH 4/5] =?UTF-8?q?retira=20justificativa=20da=20quest=C3=A3o?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- src/lib/provas/2018/5.json | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/lib/provas/2018/5.json b/src/lib/provas/2018/5.json index c6a2787..b43b8b1 100644 --- a/src/lib/provas/2018/5.json +++ b/src/lib/provas/2018/5.json @@ -14,5 +14,5 @@ "resposta": "E", "autor": ["3"], "temas": ["Limites"], - "justificativa": "$\lim_{x \to \infty }(\sqrt{x^4+x^2} + \sqrt{x^2+5x} - x^2 - x) \newline= \lim_{x \to \infty }(\sqrt{x^4+x^2} - x^2) + \lim_{x \to \infty }(\sqrt{x^2+5x} - x) \newline=\lim_{x \to \infty }[(\sqrt{x^4+x^2} - x^2)\frac{(\sqrt{x^4+x^2} + x^2)}{(\sqrt{x^4+x^2} + x^2)}] + \lim_{x \to \infty }[(\sqrt{x^2+5x} - x)\frac{(\sqrt{x^2+5x} + x)}{(\sqrt{x^2+5x} + x)}] \newline= \lim_{x \to \infty }(\frac{x^2}{\sqrt{x^4+x^2} + x^2}) + \lim_{x \to \infty }(\frac{5x}{\sqrt{x^2+5x} + x}) = \lim_{x \to \infty }[\frac{x^2}{x^2(\frac{\sqrt{x^4+x^2}}{x^2} + 1)}] + \lim_{x \to \infty }[\frac{5x}{x(\frac{\sqrt{x^2+5x}}{x} + 1)}]\newline= \lim_{x \to \infty }(\frac{1}{\frac{\sqrt{x^4+x^2}}{x^2} + 1}) + \lim_{x \to \infty }(\frac{5}{\frac{\sqrt{x^2+5x}}{x} + 1})\newline=\lim_{x \to \infty }[\frac{1}{\frac{\sqrt{x^4(1+\frac{1}{x^2})}}{x^2} + 1}] + \lim_{x \to \infty }[\frac{5}{\frac{\sqrt{x^2(1+\frac{5}{x})}}{x} + 1}]\newline=\lim_{x \to \infty }[\frac{1}{\frac{x^2\sqrt{1+\frac{1}{x^2}}}{x^2} + 1}] + \lim_{x \to \infty }[\frac{5}{\frac{x\sqrt{1+\frac{5}{x}}}{x} + 1}]\newline=\lim_{x \to \infty }(\frac{1}{\sqrt{1+\frac{1}{x^2}} + 1}) + \lim_{x \to \infty }(\frac{5}{\sqrt{1+\frac{5}{x}} + 1})\newline=\frac{1}{\sqrt{1+0} + 1} + \frac{5}{\sqrt{1+0} + 1}\newline=\frac{1}{\sqrt{1} + 1} + \frac{5}{\sqrt{1} + 1}\newline=\frac{1}{2} + \frac{5}{2} = 3$" + "justificativa": "" } \ No newline at end of file From 96856a1190f24a2c5f20dfa7b0d4311500916b3c Mon Sep 17 00:00:00 2001 From: "valter.lucena@ccc.ufcg.edu.br" Date: Fri, 25 Oct 2019 08:41:10 -0300 Subject: [PATCH 5/5] =?UTF-8?q?remove=20informa=C3=A7=C3=B5es=20de=20autor?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- src/lib/autores/autores.json | 6 ------ src/lib/provas/2018/5.json | 2 +- 2 files changed, 1 insertion(+), 7 deletions(-) diff --git a/src/lib/autores/autores.json b/src/lib/autores/autores.json index 44cb1f5..9390cc7 100644 --- a/src/lib/autores/autores.json +++ b/src/lib/autores/autores.json @@ -9,11 +9,5 @@ "nome": "Matheus Alves dos Santos", "email": "matheus.santos@ccc.ufcg.edu.br", "github": "alvesmatheus" - }, - - "3": { - "nome": "Valter Vinícius Marinho de Lucena", - "email": "valter.lucena@ccc.ufcg.edu.br", - "github": "valterlucena" } } \ No newline at end of file diff --git a/src/lib/provas/2018/5.json b/src/lib/provas/2018/5.json index b43b8b1..529dfe1 100644 --- a/src/lib/provas/2018/5.json +++ b/src/lib/provas/2018/5.json @@ -12,7 +12,7 @@ "E": "3" }, "resposta": "E", - "autor": ["3"], + "autor": [], "temas": ["Limites"], "justificativa": "" } \ No newline at end of file