Concept explainers
(a)
The formula for the sum
(a)
Answer to Problem 38E
Explanation of Solution
The above- ground volume (stern and leaves) of a plant represented by the following equation.
The below-ground volume (roots) of a plant represented by the following equation.
Here, the volumes are measured in
Therefore, the total population is as follows:
(b)
The derivative of each component and the units
(b)
Answer to Problem 38E
The units of rate of change are
Explanation of Solution
The above- ground volume (stern and leaves) of a plant represented by the following equation.
The below-ground volume (roots) of a plant represented by the following equation.
The derivative of each type by differentiating equation (1) and equation (2) with respect to t,
The units of rate of change are
(c)
The derivative of the sum
Whether the
(c)
Answer to Problem 38E
Explanation of Solution
Take the derivative of equation (3) with respect to t,
(d)
The description of happenings in words
(d)
Explanation of Solution
From the rate of change of above-ground volume of a plant, it is observed that the volume is always increasing.
From the rate of change of below-ground volume of a plant, it is observed that the volume is always declining.
From the rate of change of total volume of a plant, it is observed that the volume is always increasing.
(e)
To sketch: A graph of each component and total as functions of time.
(e)
Explanation of Solution
The graph of each component along with the total volume is drawn as
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Chapter 2 Solutions
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