Module 1 : A Crash Course in Vectors
Lecture 2 : Coordinate Systems
 

\includegraphics{fig1.11b.eps}

The volume of the solid is

\begin{eqnarray*} \int dV = \int r^2\sin\theta d\theta d\phi dr&=&\int_0^{\pi/2}... ...0^{\pi/3}.\left[\frac{r^3}{3}\right]_0^3\\ &=& \frac{9\pi}{4} \end{eqnarray*}

 

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