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Here's a neato little grow/calculus question, enjoy

  • Thread starter Guywithoutajeep
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Guywithoutajeep

With all other factors held constant (such as light frequency, water temperature, air temperature, nutrient supply), the photosynthetic growth, I, in grams per day, for a certain plant, hydroponically grown in artificial light, depends on the light intensity, x, measured in kilowatts, according to the formula I(x) = 150x^2 - 80x^3 . What value of x (correct to two decimal places) maximizes the photosynthetic growth?

I got the answer sitting here, PM and I'll let you know...if you dare try and prove that your mind isn't weak and puny:chin:
 
Lol calc 1. Derivative is 300x-240x^2, second derivative 300-480x. Analyzing first derivative gives min/max's of 0 and 1.25. Analyzing second derivative shows 1.25 is maximum.

x=1.25
 

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