Let $c$ Be a Positive Number $$\frac { d y } { d t } = k y ^ { 1 + c }$$

question 8

Multiple Choice

Let $c$ be a positive number. A differential equation of the form
$$\frac { d y } { d t } = k y ^ { 1 + c }$$
where $k$ is a positive constant is called a doomsday equation because the exponent in the expression $k y ^ { 1 + c }$ is larger than the exponent 1 for natural growth. An especially prolific breed of rabbits has the growth term $k y ^ { 106 }$ . If 3 such rabbits breed initially and the warren has 27 rabbits after 3 months, then when is doomsday?

• A) \(47.03\) months
• B) \(97.03\) months
• C) \(67.03\) months
• D) \(137.03\) months
• E) \(117.03\) months

---

Definitions:

Hypoactive Sexual Desire

A reduction in sexual desire or interest, which can significantly impact one’s quality of life and interpersonal relationships.

Patriarchal Societies

Societies that are structured with males as the primary authority figures, central to social organization, and where fathers hold authority over women, children, and property.

Procreation

The biological process of reproducing offspring; the act of bringing new life into existence.

Conditioning

A process of behavior modification in which a subject learns to respond in a desired manner to a previously neutral stimulus that has been repeatedly presented along with an unconditioned stimulus that elicits the desired response.