1.

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

Answer»

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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