28. The length of an astroid The graph of the equation x2/3 + y2/3 = 1 is one of a family of curves called astroids (not "asteroids") because of their starlike appearance (see the accom- panying figure). Find the length of this particular astroid by finding the length of half the first-quadrant portion, y = (1 – x²/3)³/2, V2/4 s x< 1, and multiplying by 8. x2/3 + y2/3 = 1
28. The length of an astroid The graph of the equation x2/3 + y2/3 = 1 is one of a family of curves called astroids (not "asteroids") because of their starlike appearance (see the accom- panying figure). Find the length of this particular astroid by finding the length of half the first-quadrant portion, y = (1 – x²/3)³/2, V2/4 s x< 1, and multiplying by 8. x2/3 + y2/3 = 1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 61E
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