1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Optimization problem

  1. Jan 8, 2004 #1
    Find the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 12-x^2
     
  2. jcsd
  3. Jan 9, 2004 #2
    Since one side is on x-axis then other side will be || x-axis(rectangle) let say y=a then u will x=+sqrt(12-b).

    Therefore u have length say = 2sqrt(12-b) &
    breadth = b.

    Hence Area, [tex]A = b\sqrt{12-b}[/tex].

    u will get b=8 and Length=8& breadth 8.

    Alternate
    Rectangle with max area is a square
    u get [tex] b=2\sqrt{12-b}[/tex]
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook