blackstreet23
  • blackstreet23
Let Vx and Vy represent the volumes of the solids that result when the region enclosed by y=3x, y=0, x=1, x=b (b>1) is revolved about the x and y axis, respectively. Is there a value of b such that Vx=Vy?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
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.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Region of interest:|dw:1433735228846:dw|
anonymous
  • anonymous
The solid we get upon revolving about the \(y\) axis: |dw:1433735322750:dw| and the solid we get upon revolving about the \(x\) axis: |dw:1433735432439:dw|
anonymous
  • anonymous
The volumes of each are given by the integrals \[V_y=2\pi\int_1^bx\times3x\,dx=6\pi\int_1^bx^2\,dx\]and\[V_x=\pi\int_1^b(3x)^2\,dx=9\pi\int_1^b x^2\,dx\]Assuming \(b\) is fixed, what do you think? Hint: Try writing \(V_x\) in terms of \(V_y\), or the other way around.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

blackstreet23
  • blackstreet23
Thanks a lot pal for your help!!!

Looking for something else?

Not the answer you are looking for? Search for more explanations.