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Let \( R \) be the region in the frist quadrant bound by \( y=2 x \) and \( y=5 x^{2} \). Find the volume of the seld fue is created when .
a) \( R \) is revolved abeut the \( y \)-axis
b) \( R \) is revolved about the line \( x=2 \)
a) The velume of the sold crested when \( R \) is revolved about the \( y \) axis can be found using an intepal of the form \( \int_{a}^{b} A(y) d y \).
What are \( A(b), a \), and b?
\[
A(y)=
\]
\( e^{b} \sin (a) \quad \infty \quad a \)