Maxima Definition and 155 Threads

  1. C

    Applied Maxima and Minima Problems

    Hello all I have a few questions on applied maxima and minima 1. A company gives you 675 sq. ft of cardboard to construct a rectangular carton with the largest volume. If the carton is to have a square base and an open top, what dimensions would you use? My Thought Process: Volume =...
  2. C

    Find the Local Maxima of f(x)=2x^3-3x^2-12x+3

    Find the local maxima: f(x)=2x^3 - 3x^2 -12x + 3
  3. H

    A confusing prob. on maxima and minima

    I have u(x,t)=-2xt-x^2 find maximum in region {-2 ≤ x ≤ 2 , 0 ≤ t ≤ 1} I believe to find the critical point first I have to take the partial derivative with respect to x and t and equate to zero. Thus Ux=-2t-2x = 0 Ut=-2x = 0 Thus the only critcal point I find is x=0, t=0. But the...
  4. S

    Calculus maxima and minima word question can't understand

    Calculus maxima and minima word question...can't understand :( A rectangular field is going to be enclosed and divided into two separate rectangular areas (not equal either). Find the minimum fencing required if the total area of the field is 1200m^2 (See the picture attached right now)...
  5. S

    Timelike geodesics might not be maxima of the proper time

    A commonly accepted modern SR/Gr statement is "timelike geodesics are maxima of the proper time". I really shall not dispute with these experts, who are all professors. But this statement is clearly questionable. It bothered me for a long time. The H & T experiment and GPS all show the...
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