At What Point on the Curve $x = t ^ { 3 } , y = 9 t , z = t ^ { 4 }$

question 28

Multiple Choice

At what point on the curve $x = t ^ { 3 } , y = 9 t , z = t ^ { 4 }$ is the normal plane parallel to the plane $3 x + 9 y - 4 z = 4 ?$

• A) \(( - 1 , - 3,9 )\)
• B) \(( 9,18 , - 2 )\)
• C) \(( - 1 , - 9,1 )\)
• D) \(( - 18,9,1 )\)
• E) \(( - 9,1,1 )\)

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Definitions:

Genes

Units of heredity made up of DNA that encode the instructions for building and maintaining an organism.

Heredity

The transmission of physical or mental characteristics from one generation to the next through genetics.

Behavior Genetics

The study of how genetic and environmental factors influence individual differences in behavior.

Epigenetic Molecules

Chemical compounds that can modify the activity of genes without altering the DNA sequence, playing a critical role in gene expression and regulation.