A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Find the number a such that the line x = a divides the region bounded by the curves y = x, y = 0, and x = 4 into two regions with equal area. Give your answer correct to 3 decimal places.

  • This Question is Closed
  1. DanJS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1437894088928:dw|

  2. DanJS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    set up a couple of equations with similar triangles and areas, or use an integral 0 to a = a to 4, maybe

  3. dumbcow
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    note that because of line "y=x" ---> h = a Area of small triangle = 1/2 Area of big triangle \[\frac{1}{2} a^2 = \frac{1}{2}(\frac{1}{2} 4^2)\] \[\frac{1}{2} a^2 = 4\] \[a = \sqrt{8} = 2 \sqrt{2}\]

  4. 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...

23

  • 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.