Question

Logic/Integration Question

Answer 1

if this is another bad drawing...im out.

Answer 2

hey

Answer 3

Rotate the solid y=1/x over the X axis and compute both the volume and the surface area of the figure using these limits of the domain:\[1\le x \le \infty\]
Key formulas to know:\[Surface Area = 2 \pi \int\limits\limits_{1}^{\infty}\frac{ 1 }{ x }\sqrt{1+\frac{ 1 }{ x^4 }}dx\]\[Volume=\pi \int\limits_{1}^{\infty}(\frac{ 1 }{ x })^2dx\]
For full credit, be sure to explain the logic behind your calculations for both volume and surface area, and how they would fit in to a real-life application.