Does this make any sense at all? Surface Area/Integral

[flyingpig]

Homework Statement

Let's say I have a parametric surface $$\mathbf{r}(u,v) = <x(u,v),y(u,v),z(u,v)>$$

Let's say I have to solve some surface integral

$$\iint f(x,y,z)\;dS$$

Can I do this differential?

$$dS = |\mathbf{r_u} \times \mathbf{r_v}|dA$$

also, has anyone noticed how small LaTeX has gotten on PF?

 

[Dick]

Homework Statement

Let's say I have a parametric surface $$\mathbf{r}(u,v) = <x(u,v),y(u,v),z(u,v)>$$

Let's say I have to solve some surface integral

$$\iint f(x,y,z)\;dS$$

Can I do this differential?

$$dS = |\mathbf{r_u} \times \mathbf{r_v}|dA$$

also, has anyone noticed how small LaTeX has gotten on PF?

What do you mean 'can I do it'? If the r_u and r_v are partial derivatives and dA means du*dv, then that's an expression for dS alright.

 

[magicarpet512]

Let's say I have a parametric surface $$\mathbf{r}(u,v) = <x(u,v),y(u,v),z(u,v)>$$

Let's say I have to solve some surface integral

$$\iint f(x,y,z)\;dS$$

Can I do this differential?

$$dS = |\mathbf{r_u} \times \mathbf{r_v}|dA$$

absolutely