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) = 250x^2 - 100x^3 . What value of x (correct to two decimal places) maximizes the photosynthetic growth?
2006-07-24 05:45:50 · 3 answers · asked by Olivia 4 in Education & Reference ➔ Higher Education (University +)
to maximize a function you must set the derivative equal to zero and then verify that your result is indeed a maximum (as opposed to a minimum or another point of inflection). in this case, the derivative of your function is 500x-300x^2. so:
x (500-300x) = 0
so the value of x you are looking for is either zero (which clearly is not a maxium), or..
cmon, you can do that last bit by yourself.
2006-07-24 05:55:26 · answer #1 · answered by Frank E 2 · 0⤊ 0⤋
To the best of my memory the answer is around 29.73 CdD2square root of K factor equals P or pressure in psi.
2006-07-24 12:50:47 · answer #2 · answered by Anonymous · 0⤊ 0⤋
:s
2006-07-24 12:57:14 · answer #3 · answered by conwayextreme 2 · 0⤊ 0⤋