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: Area bounded

  1. Feb 15, 2015 #1
    i m thinking of this...
    area bounded by x=0, y=0, y=x^2, y=4-x^2 and x=2

    why the region bounded by the below three cases are the same
    1. x=0, y=0, y=x^2, y=4-x^2
    2. y=0, y=x^2, y=4-x^2
    3. and x=0, y=x^2, y=4-x^2

    but after i add x=2 and compute the bounded region, it's different?

    i am just feeling so hard of finding the bounded region of the above curves
  2. jcsd
  3. Feb 15, 2015 #2


    User Avatar
    2017 Award

    Staff: Mentor

    Moved to homework section

    It is unclear which area you mean. The initial 5 conditions can be used to define up to 5 different areas, and all three cases below are ambiguous as well.

    Did you draw a sketch?
  4. Feb 15, 2015 #3
  5. Feb 15, 2015 #4


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

  6. Feb 16, 2015 #5


    User Avatar
    Science Advisor

    For the initial description,
    x=0, y=0, y=x^2, y=4-x^2 and x=2
    and the conditions you are given,
    1. x=0, y=0, y=x^2, y=4-x^2
    2. y=0, y=x^2, y=4-x^2
    3. and x=0, y=x^2, y=4-x^2
    Note, that in "1" the three conditions given are exactly the same as in the initial description. You have to explain why "x= 2" is not necessary.
    For "2" the same is true except that it is "x= 0" that is missing and for "3" it is y= 0.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted