luckyc1423
New member
- Joined
- Jun 26, 2006
- Messages
- 24
\(\displaystyle \[
\begin{array}{l}
{\rm (A)} \\
{\rm Find the linearization of the spherical change of coordinates map:} \\
{\rm f(}\rho ,\phi ,\theta {\rm ) = ( }\rho {\rm cos}\theta {\rm sin}\phi {\rm , }\rho {\rm sin}\theta {\rm sin}\phi {\rm , }\rho {\rm cos}\phi {\rm ):} \\
{\rm (B)} \\
{\rm Find the factor by which the linear map you found in (A) scales volume}{\rm .} \\
\end{array}
\]\)
\begin{array}{l}
{\rm (A)} \\
{\rm Find the linearization of the spherical change of coordinates map:} \\
{\rm f(}\rho ,\phi ,\theta {\rm ) = ( }\rho {\rm cos}\theta {\rm sin}\phi {\rm , }\rho {\rm sin}\theta {\rm sin}\phi {\rm , }\rho {\rm cos}\phi {\rm ):} \\
{\rm (B)} \\
{\rm Find the factor by which the linear map you found in (A) scales volume}{\rm .} \\
\end{array}
\]\)