A Population Is Modeled by the Differential Equation $$\frac { d P } { d t } = 1.4 P \left( 1 - \frac { P } { 4360 } \right)$$

question 85

Multiple Choice

A population is modeled by the differential equation.
$$\frac { d P } { d t } = 1.4 P \left( 1 - \frac { P } { 4360 } \right)$$
For what values of $P$ is the population increasing? Select the correct answer

• A) \(P < 4380\)
• B) \(P > 4360\)
• C) \(P > 1.4\)
• D) \(\quad 0 < P < 4360\)
• E) \(0 < P < 1.4\)

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Definitions:

Prophase

The first stage of cell division in both mitosis and meiosis, where chromosomes condense and the nuclear envelope breaks down.

S Phase

refers to the phase of the cell cycle in which DNA is replicated, occurring between the G1 and G2 phases.

Telophase

The final stage of mitosis or meiosis in cell division when chromosomes de-condense, nuclear membranes re-form, and the cytoplasm typically divides, resulting in two separate cells.

Interphase

A phase of the cell cycle where a cell spends most of its life, preparing for cell division by replicating its DNA and increasing in size.