- #1
karush
Gold Member
MHB
- 3,240
- 5
10. The rate (in mg carbon$/m^3/h$) at which photosynthesis takes place for a species of phytoplankton is modeled by the function
$P=\dfrac{100I}{I^2 + I + 4} $
where I is the light intensity (measured in thousands of foot-candles). For what light intensity is $P$ a maximum?
OK I presume first we derive P'
$P'=\dfrac{ -100 (I^2 - 4)}{(I^2 + I + 4)}^2$
$P'(I)=0 $ at $x=\pm 2$
so far !
$P=\dfrac{100I}{I^2 + I + 4} $
where I is the light intensity (measured in thousands of foot-candles). For what light intensity is $P$ a maximum?
OK I presume first we derive P'
$P'=\dfrac{ -100 (I^2 - 4)}{(I^2 + I + 4)}^2$
$P'(I)=0 $ at $x=\pm 2$
so far !
Last edited:
