wonk

        steps1.add(new StepsHelper("Step 5", "if \\(0<t<3)\\) then \\(f'(x) = 0\\) at the point \\(x = \\sqrt{t/3}\\), which is on the interval \\(0,1)\\)."
                + "At this point, <br/>"
                + "\\(f(\\sqrt{t/3}) = \\frac{t}{3}*\\sqrt{t/3}-t*\\sqrt{t/3}+t\\)<br/>"
                + "\\(= -\\frac{2t}{3}\\sqrt{t/3}+t\\)<br/>"
                + "\\(= t(-\\frac{2}{3}\\sqrt{t/3}+1)\\)<br/>"
                + "Since \\(\\sqrt{t/3} < 1 \\) and \\(t > 0\\), this quantity is positive. Since \\(f(t)\\) is decreasing to on one side of the critical point"
                + "and increasing on the other,<br/> there can be no solutions on the interval \\((0,\\sqrt{t/3})\\) or on the interval \\(\\sqrt{t/3},1)\\)"));