Точка рухається за законом S(t)=1/3 t^3 + 6t^2-4t. Знайдіть миттєву швидкість точки в момент t0=4 c (s-в метрах)​

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ответ:

10 минут

объяснение:

последняя строка таблицы говорит о том что ванна полностью опорожнилась за 60 минут, т.е.    

( \frac{1}{x+2} - \frac{1}{x})*60 = -1 \\  

\frac{x-x-2}{x(x+2)}*60 = -1 \\  

\frac{-2}{x(x+2)} = - \frac{1}{60} \\  

x(x+2)=120 \\  

x^{2} +2x-120=0 \\  

d = 4 + 4*120 = 484 \\  

\sqrt{d} = 22 \\  

x_{1} = \frac{-2+22}{2}=10 \\  

x_{2} = \frac{-2-22}{2}=-12 \\  

второй корень посторонний.  

ответ:   второй кран опорожнит полную ванну за 10 минут.