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If the Parametric Curve x=f(t),y=g(t)x = f ( t ) , \quad y = g ( t )

question 25

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If the parametric curve x=f(t),y=g(t)x = f ( t ) , \quad y = g ( t ) satisfies g(4)=0g ^ { \prime } ( 4 ) = 0 , then it has a horizontal tangent when t=4t = 4 .


Definitions:

Chordates

Deuterostome animals that, at some time in their lives, have a cartilaginous, dorsal skeletal structure called a notochord; a dorsal, tubular nerve cord; pharyngeal slits; a postanal tail; and an endostyle (or its derivative, a thyroid gland).

Cyanobacteria

Photosynthetic microorganisms, formerly known as blue-green algae, that are important in oxygen production and nitrogen fixation.

Marine Invertebrates

Animals without a backbone that live in marine environments, including species like jellyfish, sea stars, and corals.

Translational Components

Molecular elements involved in the process of translating mRNA into a protein sequence.

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