A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


  • 5 years ago

I need need help with this. Find the area of the region enclosed by the lines and curve. x-2=2y^2, x=y+5

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You just need to plot and see what you've got. For x-y axes in the usual orientation, you don't have a function with the quadratic unless you restrict for x. It's easier to turn the image on its side and integrate along the y-axis instead. Doing this, you'll have an element of area as\[{\delta}A={\delta}y(x_{line}-x_{parabola})={\delta}y((y+5)-(2+2y^2))\]that is,\[{\delta}A=(3+y-2y^2){\delta}y \rightarrow A=\int\limits_{-1}^{3/2}3+y-2y^2{dy}\]where the limits of integration have been found for those y-values that yield the same x-values (i.e. points of intersection of the parabola and line). Integrating and subbing in your limits gives\[A=\frac{125}{4}\]

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it is nothing but integrating the difference of the two curves ( or curve & a line) & subs the limits which gives the area

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...


  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.