a.
To plot: Graph of the derivative of the function.
a.
Explanation of Solution
Given information:
The graph of function is shown below.
Concept used:
The formula that can be used to find the derivative is
Calculation:
Calculation of derivative from the points
For the
The
The one point on the derivative of the function is
Calculation of derivative from the points
For the
The
The second point on the derivative of the function is
Calculation of derivative from the points
For the
The
The one point on the derivative of the function is
Calculation of derivative from the points
For the
The
The one point on the derivative of the function is
Graph of the derivative function is as shown below.
Conclusion: The derivative of the function is plotted.
b.
To calculate: The largest and smallest values of hare population from the graph depicting the population
b.
Answer to Problem 26E
The largest value is
Explanation of Solution
Given information:
The graph of population of snow hares and lynxes is shown below.
Calculation:
The population of hares is largest at the value of
The population of hares is smallest at the value of
Conclusion: The largest snow hare population is
c.
To calculate: The value of time elapses when both the population is at its peak.
c.
Answer to Problem 26E
The time elapses is
Explanation of Solution
Given information:
The graph of population of snow hares and lynxes is shown below.
Calculation:
Here the predator is Canada lynxes and the prey is snowshoe hares.
The population of snowshoe hares is largest at the value of
The population of Canada lynxes is largest at the value of
The time elapse is
Conclusion: The time elapse is
Chapter 2 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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