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

question 6

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 $k y ^ { 1.04 }$ . If 5 such rabbits breed initially and the warren has 23 rabbits after 5 months, then when is doomsday? Select the correct answer.

• A) \(138.06\) months
• B) \(158.06\) months
• C) \(118.06\) months
• D) \(88.06\) months
• E) \(68.06\) months

Determine the order of reactivity of different aromatic compounds towards electrophilic substitution.

Identify the major products of electrophilic aromatic substitution reactions.

Understand the role of substituents in activating or deactivating the aromatic ring towards electrophilic attack.

Apply knowledge of resonance structures in explaining reactivity and stability of intermediates and products.

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