Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

yrivers36 Group Title

a rain gutter is being fabricated from a flat sheet of metal so that the cross section of the gutter is a rectangle. The width of the metal is 12 inches. a. write a formula f(x) that gives the area of the cross section. b. to hold the greatest amount of rainwater, the cross section should have a maximum area. Find the dimensions that would result in this maximum.

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. myko Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    a) short side of rectangle = x long side = (12-2x)/2 = 6-x So f(x) =x(6-x)

    • 2 years ago
  2. yrivers36 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you...its just x(12-2x)

    • 2 years ago
  3. myko Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    b) To find maximum you have to see where the derivative gets 0.\[f'(x) = -2x +6\] it will be 0 for x=3 So that's your answer: short side x=3, long side (12-2x)/2=6-x = 6-3 =3 So it's a square

    • 2 years ago
  4. myko Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    what is this (12-2x)/2 ?? The perimeter of rectangle is 12. So if short side length is x, rest this amount twice (since there are two equal sides ) from 12 and the rwhat's left is the sum of the 2 long sides (that's why devide by 2)

    • 2 years ago
  5. myko Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    ok?

    • 2 years ago
  6. yrivers36 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok i see

    • 2 years ago
    • Attachments:

See more questions >>>

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.