$\text { Differentiate } 3 \sin x \cos y = 1 \text { with respect to } t ( x \text { and } y \text { are functions of } t ) \text {. }$

question 162

Multiple Choice

$\text { Differentiate } 3 \sin x \cos y = 1 \text { with respect to } t ( x \text { and } y \text { are functions of } t ) \text {. }$

• A) \(\sin x \cos y \frac { d x } { d t } = \cos x \sin y \frac { d y } { d t }\)
• B) \(\cos x \cos y \frac { d x } { d t } = \sin x \sin y \frac { d y } { d t }\)
• C) \(x \sin y \frac { d x } { d t } = \sin x \cos y \frac { d y } { d t }\)
• D) \(\cos x \cos y \frac { d x } { d t } = 3 \sin x \sin y \frac { d y } { d t }\)
• E) \(3 \sin x \sin y \frac { d x } { d t } = \cos x \cos y \frac { d y } { d t }\)

---

Definitions:

Fertility Rate

The average number of children born to a woman over her lifetime.

CIA Data

refers to information and statistics collected and published by the Central Intelligence Agency, often related to geographical, political, or economic aspects of countries worldwide.

Countries

Geographically and politically defined regions that function as distinct territorial entities with their own governments and laws.

Total Fertility Rate

The mean number of children a woman is expected to have throughout her life, assuming the current fertility rates specific to various ages remain constant.