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Cálculo multivariado - Momento 3

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Cálculo multivariado - Momento 3

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Observa y toma nota atenta del contenido del video, mientras se reproduce saldrán preguntas que debes responder seleccionando la respuesta correcta.

Created by

E-learning UCC Actividades de Aprendizaje
E-learning UCC Actividades de Aprendizaje
Colombia

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Cálculo multivariado - Momento 3
 

Cálculo multivariado - Momento 3Online version

Observa y toma nota atenta del contenido del video, mientras se reproduce saldrán preguntas que debes responder seleccionando la respuesta correcta.

by E-learning UCC Actividades de Aprendizaje
QR
1

Para convertir de coordenadas esféricas (𝜌,𝜃,𝜙) a rectangulares (𝑥,𝑦,𝑧), ¿cuál es la expresión correcta para 𝑧?

2

En la conversión de coordenadas cilíndricas a rectangulares, el valor de 𝑧 permanece igual en ambos sistemas.

Explicación

En coordenadas esféricas, el valor de z representa la altura vertical, que se calcula como la proyección del radio ρ sobre el eje zz usando el coseno del ángulo ϕ, que es el ángulo medido desde el eje vertical. ¿Qué fórmula coincide con esta idea?

Cuando convertimos de coordenadas cilíndricas a rectangulares, el valor de z no cambia porque ambos sistemas comparten el mismo eje vertical. Por lo tanto, ¿es cierto que z permanece igual en ambas representaciones?

 
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