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)

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

step-by-step explanation: