Mat1162   2016.2 - Provas - Maple
50 pág.

Mat1162 2016.2 - Provas - Maple


DisciplinaCálculo II22.415 materiais681.977 seguidores
Pré-visualização50 páginas
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 No esbo\303\247o acima, plotamos o gr\303\241fico da fun\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEiaEYnLyUnZmFtaWx5R1EmQXJpYWxGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGLy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnL0Y2USdub3JtYWxGJw== em azul, e sua proje\303\247\303\243o ortogonal no plano LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JlEjeHlGJy8lJ2ZhbWlseUdRJkFyaWFsRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEifkYnRi8vRjZRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZALyUpc3RyZXRjaHlHRkAvJSpzeW1tZXRyaWNHRkAvJShsYXJnZW9wR0ZALyUubW92YWJsZWxpbWl0c0dGQC8lJ2FjY2VudEdGQC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRk9GLy8lK2V4ZWN1dGFibGVHRkAvJTBmb250X3N0eWxlX25hbWVHUSgyRH5NYXRoRidGPA== em verde (ou seja, a pr\303\263pria regi\303\243o plana LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEiUkYnLyUnZmFtaWx5R1EmQXJpYWxGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGLy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnL0Y2USdub3JtYWxGJw== ).

 Exerc\303\255cio 4:
 Determine a fronteira da regi\303\243o 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 como uma uni\303\243o de cinco superf\303\255cies LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiU0YnLyUnZmFtaWx5R1EmQXJpYWxGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSVtcm93R0YkNiUtSSNtbkdGJDYlUSIxRidGLy9GNlEnbm9ybWFsRidGL0Y/LyUvc3Vic2NyaXB0c2hpZnRHUSIwRic= , LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiU0YnLyUnZmFtaWx5R1EmQXJpYWxGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSVtcm93R0YkNiUtSSNtbkdGJDYlUSIyRidGLy9GNlEnbm9ybWFsRidGL0Y/LyUvc3Vic2NyaXB0c2hpZnRHUSIwRic= , LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiU0YnLyUnZmFtaWx5R1EmQXJpYWxGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSVtcm93R0YkNiUtSSNtbkdGJDYlUSIzRidGLy9GNlEnbm9ybWFsRidGL0Y/LyUvc3Vic2NyaXB0c2hpZnRHUSIwRic= , LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiU0YnLyUnZmFtaWx5R1EmQXJpYWxGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2JS1JI21uR0YkNiVRIjRGJ0YyL0Y5USdub3JtYWxGJ0YyRkEvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi5RIn5GJ0YyRkEvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkwvJSlzdHJldGNoeUdGTC8lKnN5bW1ldHJpY0dGTC8lKGxhcmdlb3BHRkwvJS5tb3ZhYmxlbGltaXRzR0ZMLyUnYWNjZW50R0ZMLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGZW5GMkZB e LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiU0YnLyUnZmFtaWx5R1EmQXJpYWxGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSVtcm93R0YkNiUtSSNtbkdGJDYlUSI1RidGLy9GNlEnbm9ybWFsRidGL0Y/LyUvc3Vic2NyaXB0c2hpZnRHUSIwRic= onde LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiU0YnLyUnZmFtaWx5R1EmQXJpYWxGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSVtcm93R0YkNiUtRiw2JlEiaUYnRi9GMkY1Ri8vRjZRJ25vcm1hbEYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRic= \303\251 da forma

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