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)

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc