The rate (in mg carbon/m³/h) at which photosynthesis takes place for a species of phytoplankton is modeled 801 1² +1 +4 P =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The rate (in mg carbon/m³/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function
801
1² +1 +4
P =
where I is the light intensity (measured in thousands of foot-candles). For what light intensity is P a maximum?
I =
thousand foot-candles
Transcribed Image Text:The rate (in mg carbon/m³/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function 801 1² +1 +4 P = 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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In the critical points, how do you transition from dp/dI = (320-80I^2)/(I^2 + I + 4)^2  to 320-80I^2 = 0  ?

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