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

question 151

Short Answer

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:

Naming Colors

The cognitive ability to identify and articulate the names of different colors, often used in psychological testing to measure cognitive processing and executive function.

Carefully Focus

Carefully focus entails directing one's attention and cognitive resources towards specific details or tasks with a high level of concentration and precision.

Stroop Effect

A phenomenon in cognitive psychology that demonstrates the interference in reaction time between different tasks, such as naming the color of the ink a word is written in when the word itself describes a different color.

Ink Color

A characteristic of ink, referring to its visual appearance or hue, often discussed in contexts such as the Stroop effect in psychology.