- #1
wifi
- 115
- 1
Problem:
Consider ## I=\int_S \vec{v} \cdot d \vec{S}=\int_S \vec{v} \cdot \hat{n} dS##, where S is a surface that is intersected once by an line parallel to the x-axis. Show that [tex]dS=\frac{|\nabla f|}{\partial f/ \partial x}dy \ dx[/tex], and that therefore, [tex]I=\int_S \vec{v} \cdot \frac{\nabla f}{\partial f/ \partial x} dy \ dz[/tex]
Attempt at a Solution:
Not really sure where to start...
Consider ## I=\int_S \vec{v} \cdot d \vec{S}=\int_S \vec{v} \cdot \hat{n} dS##, where S is a surface that is intersected once by an line parallel to the x-axis. Show that [tex]dS=\frac{|\nabla f|}{\partial f/ \partial x}dy \ dx[/tex], and that therefore, [tex]I=\int_S \vec{v} \cdot \frac{\nabla f}{\partial f/ \partial x} dy \ dz[/tex]
Attempt at a Solution:
Not really sure where to start...
