To find: time required for the population to increase to at least 2000 ladybugs.
Answer to Problem 65RE
The solution interval is
Explanation of Solution
Given:
Population (P) of the ladybugs as follows:
Consider the model for population (P) of the ladybugs as follows:
Here t is the time in days.
Since population must be at least 2000, therefore,
Compare the terms as shown below,
And the inequality is not defined at
Thus the intervals for which validity of inequality is to be tested are,
Substitute a value from the internal
Put
Hence
Check for the interval (−5,9],
Put
Hence (−5,9] is not the solution interval.
Check for the interval
Put
Hence
Therefore, the solution interval is
Since the time cannot be negative therefore the solution interval is
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
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