The length of an astroid The graph of the equation x/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 – x/3)3/2, V2/4 sxs 1, and multiplying by 8. x2/3 + y2/3 = 1 -1

The length of an astroid The graph of the equation x/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 – x/3)3/2, V2/4 sxs 1, and multiplying by 8. x2/3 + y2/3 = 1 -1