Question

solve the problem using Disk Method of Solution. Solid V is generated by revolving the given region R about the x-axis. Draw R and make a sketch of V.

Answer 1

1. R is bounded by x-axis, y-axis and the line 2x+3y=1

Answer 2

@RadEn

Answer 3

@amistre64

Answer 4

@sami-21

Answer 5

hello

Answer 6

solve for y
y = ( 2x - 1) / 3

Answer 7

y=(1-2x)/3
Area of disk is
A=pi((1-2x)/3)^2
when y=0 x=1/2
so integrate Area from 0..1/2
\[\Large V \int\limits_{0}^{1/2} \pi \left[ \frac{1-2x}{3} \right]^2\]

Answer 8

are we to solve for the area? i thought volume?

Answer 9

when you integrate area you get the volume.

Answer 10

actually this is more like you have cross sections (disk) times a thickness