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!

Simple maximization question! very confused :s

  1. Feb 7, 2012 #1
    Hey everybody!

    My question is: Find the value of x that maximizes the following function and the maximum
    value (a is constant): f(x) = x^2 subject to 0 ≤ x ≤ a.

    It is supposed to be solved without calculus and I'm terrible confused! how would i go about solving this? wen i plot the curve i of course get half a parabola (positive half), and given the constraint 0 ≤ x ≤ a, the graph gets limited. Im confused what the answer to this question would be :s! would it be a^2 as the maximum value and a as the value of x that maximizes the function, or would it simply be 0 or not possible?!? any help would be appreciated greatly!
  2. jcsd
  3. Feb 7, 2012 #2


    User Avatar
    Science Advisor

    Basic arithmetic x > y > 0 => x2 > y2, so the max is at a and the max value is a2.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook