A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
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
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.

This Question is Closed

myko
 2 years ago
Best ResponseYou've already chosen the best response.1a) short side of rectangle = x long side = (122x)/2 = 6x So f(x) =x(6x)

yrivers36
 2 years ago
Best ResponseYou've already chosen the best response.0thank you...its just x(122x)

myko
 2 years ago
Best ResponseYou've already chosen the best response.1b) 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 (122x)/2=6x = 63 =3 So it's a square

myko
 2 years ago
Best ResponseYou've already chosen the best response.1what is this (122x)/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)
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
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
 Engagement 19 Mad Hatter
 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.