Charged Shape Described by a Function - Urgent

[acedeno]

The Image has all the details:

http://img38.imageshack.us/img38/3448/question3p.jpg

Uploaded with ImageShack.us

I honestly I have no Idea as to where I should begin. Any hints on how to get started?

 

[SteamKing]

For part b) if p(x,y,z) were the material density in grams / cc and the surface of the object made out of this material had the equation x^2+y^z = a*z, how would you calculate the total mass of the object? For part b), instead of density, assume p(x,y,z) is the amount of charge over a unit portion of the volume of the object.

 

[acedeno]

For part b) if p(x,y,z) were the material density in grams / cc and the surface of the object made out of this material had the equation x^2+y^z = a*z, how would you calculate the total mass of the object? For part b), instead of density, assume p(x,y,z) is the amount of charge over a unit portion of the volume of the object.

I'm sorry but I'm really not following. I guess I could find mass by using m=(density)(volume) but I'm still uncertain on how to express the volume of this object.

 

[Clever-Name]

Do you recognize:

$$Q = \int_{\mathcal{V}} \rho d\tau^{'}$$

This is the general equation for total charge over a volume with a given charge density

 

[paranormal]

As a scientist, it is important to approach problems and tasks systematically. In this case, the first step would be to carefully examine the image and understand what it is depicting. From the image, it appears that the function f(x) is describing the shape of a charged object. It also provides information about the distance from the center of the object (r) and the angle (θ).

Next, it would be helpful to understand the context and purpose of this charged shape. Is it being used in a specific experiment or study? What is the overall goal or question being addressed? This information can provide important clues as to how the function may be used and what parameters may be important to consider.

Once the context is understood, it would be useful to break down the given function into its individual components and analyze each one separately. For example, what does the variable "a" represent? What is the significance of the exponent "n"? How does the function change as r and θ vary?

It may also be helpful to consult resources such as textbooks, scientific articles, or colleagues for guidance and further understanding of the concept of a charged shape described by a function. With a clear understanding of the problem and its components, it will be easier to approach it systematically and find a solution.