The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 120I I2 + I + 1 where I is the light intensity (measured in thousands of foot-candles). For what light intensity is P a maximum? I = thousand foot-candles
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Answer:
Light intensity = L =1
Step-by-step explanation:
The given function is:
(Equation.1)
Taking derivative of the whole equation:
=
=120
=
=
For first derivative test, there is a maxima. for that , we need to take:
L+1 =0 and L-1 =0
we get:
L= -1
or L=1
Since light intensity cannot be negative so, L=1
put this in equation 1:
P =
P= 40 which is the maximum value of P (At L=1)
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Answer:
which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 120I I2 + I + 1 where I is the light intensity (measured in thousands of foot-candles). For what light intensity is P a maximum? I = thousand foot-candles
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