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Theory and ExamplesThe length of an astroid The graph of
Chapter 6, Problem 26E(choose chapter or problem)
Problem 26E
Theory and Examples
The length of an astroid The graph of the equation x2/3 + y2/3 = 1is one of a family of curves called astroids (not “asteroids”) because of their starlike appearance (see the accompanying igure). Find the length of this particular astroid by finding the length of half the first-quadrant portion and multiplying by 8.
Questions & Answers
QUESTION:
Problem 26E
Theory and Examples
The length of an astroid The graph of the equation x2/3 + y2/3 = 1is one of a family of curves called astroids (not “asteroids”) because of their starlike appearance (see the accompanying igure). Find the length of this particular astroid by finding the length of half the first-quadrant portion and multiplying by 8.
ANSWER:
Solution :
Step 1 of 3 :
In this problem, we have to find the length of asteroid by finding the length of half the first-quadrant portion .