Question

Calc help?

Answer 1

The region R is bounded by the x-axis, y-axis, x = 3 and \[y=1/\sqrt{x+1}\]

A) Find the area of region R.
B) Find the volume of the solid formed when the region R is revolved about the x-axis
C) The solid formed in part B is divided into two solids of equal volume by a plane perpendicular to the x-axis. Find the x-value where this plane intersects the x-axis.

Answer 2

@mathmate

Answer 3

\[area=\int\limits_{0}^{3}y dx=\int\limits_{0}^{3}\frac{ 1 }{ \sqrt{x+1} }dx\]

Answer 4

\[volume=\int\limits_{0}^{3} \pi y^2 dx=\pi \int\limits_{0}^{3}\frac{ 1 }{ x+1 }dx=?\]

Answer 5

for the part (c)
\[\pi \int\limits_{0}^{a}y^2dx=\pi \int\limits_{a}^{3}y^2 dx\]
calculate a