anonymous
  • anonymous
Hello. I am working on problem set 7 #4c2 (solids of revolution by shell method). I am told to "Find the volume of the region 0 ≤ y ≤ x2, x ≤ 1 revolved around the y-axis." I am having trouble figuring out the graph from the given statements. The graph provided in the answers has a "blip" between ~0 and ~1/3 on the x axis where y becomes negative and I don't understand how y can be negative if it is between 0 and x^2. Thanks for your help.
OCW Scholar - Single Variable Calculus
  • 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.
schrodinger
  • schrodinger
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anonymous
  • anonymous
I am going to close this problem. I am not sure why the provided graph looks like it does but setting y=x^2 and solving provides the correct answer.
phi
  • phi
***The graph provided in the answers has a "blip" *** it looks like "artistic license". The curve they show is not y=x^2. But all they are trying to show (I think) is the "set-up".

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