Question

Helpppppppppppp please :D

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

A. ∫ (1/√(x+1)) dx between 0 and 3

A = 2√(x+1) between 0 and 3

A = 2√(3+1) – 2√(0+1)
A = 2•2 – 2•1 = 2

Is this correct for A? I need help on B and C.

Answer 3

@jdoe0001 @sourwing

Answer 4

yeah 2 is correct

Answer 5

What about b and c? Can you help me on those?

Answer 6

B. disk method

Answer 7

@zepdrix Can you help? You taught me how to do the disk method but I totally forgot since that question was asked during first semester >.<

Answer 8

disk method:
\[\int\limits_{a}^{b} [f(x)]^{2} dx\]

Answer 9

oops there should be pi in front

Answer 10

:O

Answer 11

So our picture looks something like this, yes?