MATEMATICA III.docx - MATEMATICA III ACTIVIDAD 1 Problema 1 Determinar el dominio de la funci\u00f3n y su respectiva gr\u00e1fica 36 \u2013 4 \u2013 9Y2 > 0 4X2 9Y2 =

# MATEMATICA III.docx - MATEMATICA III ACTIVIDAD 1 Problema 1...

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X 2 3 -2 -3 MATEMATICA III ACTIVIDAD 1 Problema 1 . Determinar el dominio de la función y su respectiva gráfica: 36 – 4 – 9Y 2 > 0 4X 2 + 9Y 2 = 36 (dividimos entre 36) X 2 9 + Y 2 4 = 1 (X = 3), (Y = 2) elipse DOMINIO = {(X, Y) | 36 – 4 X 2 – 9Y 2 > 0} Y
D = {(X, Y) / 25X 2 – Y 2 ≥ 0 / X ≠ 0} 25X 2 – Y 2 = 0 (5X – Y) (5X+Y) ≥0 5X ≥ Y - 5X Y COMPROBAMOS EN EL PUNTO (1,0) 25X 2 – Y 2 > 0 25(1) - Y (0) 2 > 0 25 > 0 VERDADERO Problema 2. Realizar la representación gráfica, en el espacio, de la curva: Y 5- -25 25 5 X X Y 0 0 1 5 2 10 3 15 4 20 5 25 X Y 0 0 1 -5 2 -10 3 -15 4 -20 5 -25
Y 1 ¿ ¿ ¿ 2 ¿ ¿ + ( x 2 0 ) 1 2 =

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• Fall '19
• Punto, Curva, Elipse, Matemática III, REPRESENTACIÓN GRÁFICA, dominio de la función

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