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Photosynthesis The rate of primary production refers to the rate of conversion of inorganic carbon to organic carbon via photosynthesis. It is measured as a mass of carbon fixed per unit biomass, per unit time. A common model for this relationship is $$P(I)=\frac{a I}{\sqrt{1+b I^{2}}}$$ where $P$ is the rate of primary production as a function of light intensity $I$ . Suppose the light intensity changes withtime according to the equation $I(t)=k t,$ where $k$ is a constant(a) What is the rate of primary production as a function oftime? (b) What is the total amount of primary production over thefirst five units of time?
$| \frac{a}{b k}\left(\sqrt{1+25 b k^{2}}-1\right)$
Calculus 1 / AB
Calculus 2 / BC
Chapter 5
Integrals
Section 4
The Substitution Rule
Integration Techniques
Missouri State University
Campbell University
Oregon State University
Idaho State University
Lectures
01:11
In mathematics, integratio…
06:55
In grammar, determiners ar…
01:04
Photosynthesis Much of the…
02:03
05:33
Photosynthesis The rate (i…
03:26
Photosynthesis efficiency …
04:07
The rate (in $ mg $ $ car…
06:58
It is estimated that the n…
00:52
The formation of glucose f…
09:29
About $6.0 \times 10^{13} …
09:21
The following diagram summ…
02:18
Photosynthesis in plants c…
08:07
Photosynthesis produces gl…
06:08
07:06
The sun supplies energy at…
03:10
A single wavelength. Photo…
09:49
The net photosynthetic pro…
02:50
Photosynthesis can be divi…
01:52
08:24
In photosynthesis, plants …
00:51
Plants use the process of …
02:55
Let $M(t)$ be the mass (in…
Okay, So for this, all we have to do is rip State. Be integral from 0 to 5 off a Katie, a Katie divided by the square root off a one plus B a k t. And, um, this part here is squared. Right? That's it.
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