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Mathematics, 06.06.2020 22:02 kaleyahkay7474
The solid formed by the curves x=0,x=3,y=0, and 1/√(x+1) is rotated about the x axis and divided into two solids of equal volume by a plane perpendicular to the x-axis. Find the x-value where the plane intersects the x-axis.
Mkay so, this is what I have so far:
The area of the region is 2
The volume of the region when rotated around the x-axis is 2ln(2)π
I can't figure out the last part, every time I try, I get x=-5 and x=3, neither of which cut the shape at all.
Edit: Oh wait. I forgot to divide the volume in two. Lemme try that.
Edit 2: I got x=1. Is that correct?
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The solid formed by the curves x=0,x=3,y=0, and 1/√(x+1) is rotated about the x axis and divided int...
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