anonymous
  • anonymous
Which of the following statements is true? The volume of the solid formed by rotating the region bounded by the graph of y = x2, x = 3, y = 0 around the x-axis is https://gyazo.com/d4c15f518e12e0ca068dbf232b0c7b69
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
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jim_thompson5910
  • jim_thompson5910
do you have the graph set up?
anonymous
  • anonymous
|dw:1444444321553:dw|
jim_thompson5910
  • jim_thompson5910
this is what your graph should look like

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More answers

anonymous
  • anonymous
Oops, sorry Just a bit tired.
jim_thompson5910
  • jim_thompson5910
the region in blue is going to be revolved around the x axis
1 Attachment
anonymous
  • anonymous
By looking at the graph, I'm going to have to say it's B
jim_thompson5910
  • jim_thompson5910
|dw:1444446589968:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1444446606361:dw|
anonymous
  • anonymous
If I'm following you correctly, 9.
jim_thompson5910
  • jim_thompson5910
the vertical distance from the curve to the x axis
jim_thompson5910
  • jim_thompson5910
it's going to be something with x in it
anonymous
  • anonymous
Nope, completely lost here. |dw:1444446815097:dw| You're asking for that right?
jim_thompson5910
  • jim_thompson5910
yes that length in terms of x (imagine it sliding back and forth between x = 0 and x = 3)
anonymous
  • anonymous
Well it would change depending on what x is in the function y=x^2
jim_thompson5910
  • jim_thompson5910
it's simply x^2, right?
jim_thompson5910
  • jim_thompson5910
whatever x is, the vertical distance from the curve to the x axis is x^2 units
anonymous
  • anonymous
jim pls why would you ask for the obvious? I am very tired ;(
anonymous
  • anonymous
ok
anonymous
  • anonymous
So how would I used that?
jim_thompson5910
  • jim_thompson5910
|dw:1444447162670:dw|
jim_thompson5910
  • jim_thompson5910
this 3D figure is made up of disks that look like this |dw:1444447207593:dw|
jim_thompson5910
  • jim_thompson5910
imagine cutting it up into infinitely many disks that are infinitesimally small then glue those pieces together to form this 3D shape this is effectively what you are doing when you evaluate \[\Large \pi\int_{a}^{b}(R)^2dx\] \[\Large \pi\int_{0}^{3}(x^2)^2dx\] \[\Large \pi\int_{0}^{3}(x^4)dx\]
anonymous
  • anonymous
nope, did not get it
anonymous
  • anonymous
I'll look over it tomorrow when I'll be well rested.
jim_thompson5910
  • jim_thompson5910
hmm strange how the system says it's wrong
jim_thompson5910
  • jim_thompson5910
could be a typo somewhere
anonymous
  • anonymous
What system?
jim_thompson5910
  • jim_thompson5910
aren't you saying it's wrong?
jim_thompson5910
  • jim_thompson5910
or the computer is telling you it's wrong?
anonymous
  • anonymous
I was saying, I did not personally understand it very well.
jim_thompson5910
  • jim_thompson5910
oh ok
anonymous
  • anonymous
You are right. ;)

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