Suppose That $x y ^ { 2 } + \sin y + x ^ { 3 } = 1$

question 18

Multiple Choice

Suppose that $x y ^ { 2 } + \sin y + x ^ { 3 } = 1$ .Find $\frac { d y } { d x }$ .

• A) \(- \frac { 1 } { 2 x y + \cos y }\)
• B) \(- \frac { 3 x ^ { 2 } } { 2 x y + \cos y }\)
• C) \(- \frac { 3 x ^ { 2 } + y ^ { 2 } } { 2 x y + \cos y }\)
• D) \(- \frac { y ^ { 2 } } { 2 x y + \cos y }\)

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Definitions:

Alleles

Different versions of a gene that determine distinct traits that can be passed on to offspring.

Evolutionary History

The chronological sequence of biological events and processes that have led to the diversity of life and the traits observed in organisms today.

Thrifty Genotype

A hypothesis suggesting that certain genes predispose individuals to efficiently collect and process food to deposit fat during periods of food abundance, which could lead to obesity in sedentary lifestyles.

Mendelian Rules

The foundational principles of genetics discovered by Gregor Mendel, explaining how traits are inherited through dominant and recessive alleles.