The Curve with the Equation $x ^ { 2 / 3 } + y ^ { 2 / 3 } = 25$

question 51

Essay

The curve with the equation $x ^ { 2 / 3 } + y ^ { 2 / 3 } = 25$ is called an asteroid. Find an equation of the tangent to the curve at the point $( 48 \sqrt { 6 } , 1 )$ .

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Definitions:

Flood

An overflow of water that submerges land that is usually dry.

Rabbits

Small mammals with long ears, long hind legs, and a short tail, known for their fast breeding and being common in many regions as wild and domesticated animals.

Distribution Pattern

Distribution pattern refers to the way biological organisms are spaced within their environment, which can be random, uniform, or clumped.

North-Facing

Refers to the direction or aspect that primarily faces towards the north; often considered in terms of sunlight exposure and ecological implications.