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?

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)

4+n=5

step-by-step explanation:

this is because the four is four hours and the n represents the 1 extra hour over the weekend.

b= i'm srry i don't know that one.

4+n=5 n=1 because if vernon plays 5 hours a week then 4+1=5 hours.

hope this : )