# Solid of Revolution and Limits

Evaluate

∫(log3x / 2x) (dx)

R is bounded below by the x-axis and above by the curve

y = 2cosx, Figure 11.1. Find the volume of the solid generated by

revolving R around the y-axis by the method of cylindrical shells

0(< or =) x(< or =) pi/2

Find

limx→∞ ( 3x-2/3x+2 )^x

https://brainmass.com/math/calculus-and-analysis/solid-revolution-limits-160345

#### Solution Summary

A solid of revolution and limit problem are solved.

Arc Length of Curve, Tangent Line, Limits and Solid Revolution

1. Find the volume of the solid generated by revolving the region enclosed by: {see attachment}

2. Find the arc length of the graph of the curve {see attachment}

3 - 7. Integrate attached equations ...

8. Find the limit of the improper integral: {see attachment}

9. Find the arc length of the curve given in parametric form by: {see attachment}

10. Find the equation of the tangent line in Cartesian coordinates of the curve given in polar coordinates by: {see attachment}

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