Which of the following functions is continuous at (0, 0)? (i) f (x, y) = { x4 y4 x4 + 6y6 if (x, y) ≠ (0, 0) 0 if (x, y) = (0, 0) (ii) g(x, y) = { x y x2 + 2y2 if (x, y) ≠ (0, 0) 0 if (x, y) = (0, 0) (iii) h(x, y) = { √ x2 + y2 + 1 − 1 x2 + y2 if (x, y) ≠ (0, 0) 1 2 if (x, y) = (0, 0)

6) (i) Given the following function: f(x,y)={((x^4y^4)/(x^4+6y^6)if(x,y)!=(0,0)),(0if(x,y)=(0,0)):} To check whether the given function is continuous or no...

Resuelto Which of the following functions is continuous at

¡Tu solución está lista!

Nuestra ayuda de expertos desglosó tu problema en una solución confiable y fácil de entender.

Mira la respuesta

Pregunta: Which of the following functions is continuous at (0, 0)? (i) f (x, y) = { x4 y4 x4 + 6y6 if (x, y) ≠ (0, 0) 0 if (x, y) = (0, 0) (ii) g(x, y) = { x y x2 + 2y2 if (x, y) ≠ (0, 0) 0 if (x, y) = (0, 0) (iii) h(x, y) = { √ x2 + y2 + 1 − 1 x2 + y2 if (x, y) ≠ (0, 0) 1 2 if (x, y) = (0, 0)
Which of the following functions is continuous at (0, 0)? (i) f (x, y) = { x4 y4 x4 + 6y6 if (x, y) ≠ (0, 0) 0 if (x, y) = (0, 0) (ii) g(x, y) = { x y x2 + 2y2 if (x, y) ≠ (0, 0) 0 if (x, y) = (0, 0) (iii) h(x, y) = { √ x2 + y2 + 1 − 1 x2 + y2 if (x, y) ≠ (0, 0) 1 2 if (x, y) = (0, 0)

Muestra el texto de la transcripción de la imagen
Hay 3 pasos para resolver este problema.
Solución
Paso 1
6) (i) Given the following function:

$\begin{matrix} f (x, y) = {\begin{matrix} \frac{x^{4} y^{4}}{x^{4} + 6 y^{6}} if (x, y) \neq (0, 0) \\ 0 if (x, y) = (0, 0) \end{matrix} \end{matrix}$

To check whether the given function is continuous or no...
Mira la respuesta completa
Paso 2
Desbloquea
Paso 3
Desbloquea
Respuesta
Desbloquea