Find the volume of the solid generated by rotating about the x-axis th

Liesehf 2021-11-13 Answered
Find the volume of the solid generated by rotating about the x-axis the region bounded by
y=4x, x=3, x=3
and the x-axis.
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Expert Answer

Uersfeldte
Answered 2021-11-14 Author has 20 answers
Step 1
Find the volume of the solid generated by rotating about the x-axis the region bounded by y=4x where x=3 and x=3 and the x-axis.
by applying boundary value analysis we can find the volume of solid.
Step 2
y=4x
Apply log on both sides
log(y)=log(4x)
log(y)=xlog(4)
use implicit differentiation w.r. to 'x'
1yy=log(4)
y=ylog(4)
y=4xlog(4)
Now we apply boundries x=3, x=3
33y=334xlog(4)
=log(4)[4(3)4(3)]
=log(4)[16464]
=log(4)[0.01564]
=63.98log(4)
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