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.

Question

anonymous · Answer

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

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anonymous · Answer

@RadEn

anonymous · Answer

@amistre64

anonymous · Answer

@sami-21

perl · Answer

hello

perl · Answer

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

anonymous · Answer

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
$$\Large V \int\limits_{0}^{1/2} \pi \left[ \frac{1-2x}{3} \right]^2$$

anonymous · Answer

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

anonymous · Answer

when you integrate area you get the volume.

perl · Answer

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

perl · Answer

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