Skip to content Skip to navigation Skip to collection information

Connexions

You are here: Home » Content » Cálculo I » El vaso medio lleno

Navigation

Table of Contents

Recently Viewed

This feature requires Javascript to be enabled.
Reuse / Edit
x

Collection:

Module:

Add to a lens
x

Add collection to:

Add module to:

Add to Favorites
x

Add collection to:

Add module to:

 

El vaso medio lleno

Module by: Evaristo Rojas Mayoral. E-mail the author

Analicemos el volumen y altura del agua en un vaso.

  1. ¿Cuál es el volumen cuando el altura mide 2 cm?
  2. ¿Cuánto cambia el volumen desde que el altura mide 2 cm hasta que mide 4 cm?
  3. ¿Cuál es la tasa de cambio (razón de cambio o rapidez) durante ese intervalo?
  4. ¿Cuánto cambia el volumen desde que el altura mide 5 cm hasta que mide 7 cm?
  5. ¿Cuál es la tasa de cambio durante ese intervalo?
  6. ¿Cuánto cambia el volumen desde que el altura mide 8 cm hasta que mide 11 cm?
  7. ¿Cuál es la tasa de cambio durante ese intervalo?
  8. Escoge dos alturas cualesquiera. ¿Cuál es la diferencia entre ambas alturas? A esta diferencia le llamaremos Δx
  9. ¿Cuánto cambia el volumen durante ese intervalo?
  10. ¿Cuál es la tasa de cambio durante ese intervalo?
  11. Usa un Δx más pequeño, digamos la mitad del original. ¿Cuánto mide el nuevo Δx?
  12. ¿Cuánto cambia el volumen durante ese intervalo?
  13. ¿Cuál es la tasa de cambio durante ese intervalo?
  14. Usa un Δx más pequeño, la décima parte del original. ¿Cuánto mide el nuevo Δx?
  15. ¿Cuánto cambia el volumen durante ese intervalo?
  16. ¿Cuál es la tasa de cambio durante ese intervalo?
  17. Usa un Δx más pequeño, la centécima parte del original. ¿Cuánto mide el nuevo Δx?
  18. ¿Cuánto cambia el volumen durante ese intervalo?
  19. ¿Cuál es la tasa de cambio durante ese intervalo?
  20. Haz una gráfica que describa el volumen en términos del altura
  21. Construye una función para el volumen en términos del altura

Collection Navigation

Content actions

Download module as:

PDF | More downloads ...

Add:

Collection to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks

Module to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks

Reuse / Edit:

Reuse or edit collection (?)

Check out and edit

If you have permission to edit this content, using the "Reuse / Edit" action will allow you to check the content out into your Personal Workspace or a shared Workgroup and then make your edits.

Derive a copy

If you don't have permission to edit the content, you can still use "Reuse / Edit" to adapt the content by creating a derived copy of it and then editing and publishing the copy.

| Reuse or edit module (?)

Check out and edit

If you have permission to edit this content, using the "Reuse / Edit" action will allow you to check the content out into your Personal Workspace or a shared Workgroup and then make your edits.

Derive a copy

If you don't have permission to edit the content, you can still use "Reuse / Edit" to adapt the content by creating a derived copy of it and then editing and publishing the copy.