Archivo de junio, 2009


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Problema

Para armar ofertas de golosinas, don Héctor cuenta con 60 chupetines, 75 galletitas con chocolate y 120 caramelos. Quiere armar bolsitas iguales que contengan el mayor número posible de cada cosa.
¿Cómo pueden averiguar las cantidades?¿Cuántas bolsitas se pueden armar?

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Número de Visitas: 3782


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funcion 1sobre 2 menos x

Análisis de un función

Analizar la función f(x) = \frac{1}{2-x}

funcion 1sobre 2 menos x

  • Dominio
  • Imagen
  • Raíces
  • Ordenada al origen
  • Intervalos de crecimiento
  • Intervalos de decrecimiento
  • Conjunto de positividad
  • Conjunto de negatividad
  • Máximo
  • Mínimo
  •  \lim _{x\rightarrow 0^{-}}f(x)
  •  \lim _{x\rightarrow 0^{+}}f(x)
  •  \lim _{x\rightarrow 0}f(x)
  •  \lim _{x\rightarrow +\infty}f(x)
  • \lim _{x\rightarrow -\infty}f(x)

Número de Visitas: 2366

imagen

Máximos y mínimos

Encontrar los máximos y mínimos de la función:

f(x) = 2x^3-2x^2-28x+48.

imagen

Primero derivamos la función

Máximos y mínimos (Solución en pdf) Realizada en Maple 13.

Número de Visitas: 2649

funcion 1sobre x

Recta Tangente

Encuentren la ecuación de la recta tangente a la gráfica de la función dada por f(x)=\frac{1}{x} en x =2.

funcion 1sobre x

  • Obtengan las coordenadas del punto.
  • Obtengan la pendiente de la recta tangente, con la derivada de la función.
  • Obtengan la ordenada al origen de la recta.

Solución ( pdf realizada en Maple 13)

Número de Visitas: 2351


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División entera y división exacta

Una división es entera cuando el cociente y el resto de la misma son números enteros.

Ejemplo:   13 : 2 = 6 con resto 1
Dividendo -> 13
Divisor -> 2
Cociente -> 6
Resto -> 1

Además:
13 = 2 . 6 + 1
D = d . c + r

En toda división entera el resto es mayor o igual que cero y menor que el divisor.
0 ≤ r < d

Una división entera es exacta cuando el resto de la división es cero.

Ejemplo:    21 : 3 = 7 con resto 0
Además 21 =  3 . 7

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